diff --git "a/data/dm_maths/full_data_1/2007_11255.jsonl" "b/data/dm_maths/full_data_1/2007_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2007_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 169673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (61 + 101*g - 133 + 71)*(-58 - 25 - 57) in the form y + c*g and give c.\nAnswer: -14140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1.50424.\nAnswer: 0.601696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 10. Let b be r(-5). Solve -5 = -0*w - w - 2*h, -9 = -b*w - 2*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 311764 and 1640.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 239*f**3*j**3*o + 10*f**3*o**3 + f**2*j**2*o**3 - 13*f**2*j**2*o - 2*f*j**3*o + 4*j**3*o**3 - j**3*o**2 wrt f?\nAnswer: 1434*j**3*o + 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23828063.2 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:47 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g)\/g**(3\/5))\/(g**(-25)*g*g**(-13\/4)) assuming g is positive.\nAnswer: g**(413\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjsjsjjjsjsjj. Give prob of sequence jjs.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 37099 = 8*y - 4*y, -y = -4*n + 29675. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2 - 8*h**2 + h**3 - 15*h**2 + 7*h + 15*h**2. Suppose -3*b = -0*b - 114. Suppose 3*c - y = 16, -y = 4*c + y - b. Give o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(1\/19)*p)\/p)\/p*((p**(1\/28)\/p)\/p)\/p)\/((p*p**10\/p*p)\/(p**(-29\/5)*p)) assuming p is positive.\nAnswer: p**(-49773\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*s**4 - 568*s**3 + 249513*s**2?\nAnswer: 600*s - 3408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154 - 5. Let w = 227 - u. Suppose 8*i + 19 = 227. Calculate the greatest common factor of i and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4 + 6, 4*j + 180 = 4*f. Determine d, given that 210 - 53*d - 2*d - f*d**2 + 20*d**2 + 13*d**2 + 12*d**2 = 0.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*b**2 - 143 + 2*b - b - 47*b**2 + 109*b**2 as c + u*b**2 + w*b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-9))\/(-2) + (-178)\/9. Is 55 a factor of 170 - a*3\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -43. Let u = s - 10. Suppose 0 = -l + u*n - 2, 4*l = -l - n + 70. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.02 (b) -47 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 20948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990\/2592 - (-12)\/486*-18.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 1\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4805 * 0.062.\nAnswer: -297.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 12*b + 28 = 0. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u + 25 = 5*d, -d = -3. Suppose 3*a - 7*s = -6*s + 155, -5*s = u*a - 265. Calculate the remainder when 207 is divided by a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1367*q**3*y**2 + 90*q**3*y - 1900*q**2 - 131*q*y**2 wrt q?\nAnswer: -8202*y**2 + 540*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4835561 is divided by 134321.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*c = 28*c - 14*c + 1212 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1635?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -207*v + 23. Let i(c) = -19*c + 2. Calculate -46*i(n) + 4*p(n).\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -2170\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -328 + -38?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(475))**2.\nAnswer: 4277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8475*2428\nAnswer: 20577300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (14 - 11) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 57438*p - 57439*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9483626 to 2 dps.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.732056 grams to kilograms.\nAnswer: 0.000732056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6634 and 200942?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 13 + 93 = 31*k. Solve 3*b - k*b = -s - 6, b - 14 = -5*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/9 + 448*i**2\/9 + 908*i\/9 + 152\/3.\nAnswer: -4*(i - 114)*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -9. Suppose 2*s + a + 3 = 4*s, a = -1. Differentiate -s - 9*d - w + 10*d with respect to d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n - 2*n)*(-5*n**4 + 4*n**4 + 0*n**4) + (5*n**4 - 2*n**4 + 7*n**4)*(-n - 2*n + 5*n).\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 0.0729, -2\/11, 3?\nAnswer: 0.0729","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 7758\nAnswer: 69822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -5, -0.3, 1812 in ascending order.\nAnswer: -5, -0.4, -0.3, 0, 1812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y**3 - 1. Suppose 0 = 5*v + 5*k + 15, k = -v - k - 8. Suppose -5*m + 2*a = -9, -a - 4 + v = 0. Determine l(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1783435, 7133628, 16050617, 28534402, 44584983?\nAnswer: 64202360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8276, -8275, -8270, -8261?\nAnswer: -8248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77309618.\nAnswer: 2, 38654809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v**2 + 36*v - 47. Let o(c) = -4*c**2 - 13*c + 17. Let a(k) = 3*b(k) + 8*o(k). What is a(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 21202706\nAnswer: 3\/21202706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68773168, 68773167, 68773166?\nAnswer: 68773165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5600 + 4232 = 0. Suppose -18*a = -391 - t. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -240 - 50?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2248*t**5 + 5*t**2 + 81640*t wrt t?\nAnswer: -44960*t**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.11, -2\/13, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4908 or -4901?\nAnswer: -4901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, d: 14}. Give prob of sequence ee.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - (-441)\/(-54))*2. Which is the closest to -2\/5? (a) -5 (b) -1\/2 (c) 4\/11 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 2 - 1 - 18*a**3 - 49*a + 52*a to w*a**2 + t*a + k + d*a**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 285 + -1387?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.974939 millilitres?\nAnswer: 0.001974939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127375.\nAnswer: 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1107142 in 2\/15, 4, -2\/37, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -1\/8, -1, -2\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 12)*(-1 + 4*o + 1).\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -8, -10, -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 10*a**2 - 11*a - 34. Determine t(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 183 + 174 = -3*d for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775 a factor of 13253686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o. Let p(q) = -7*q. Let y(l) = -120*l. Let t(w) = -35*p(w) + 2*y(w). Determine u(t(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83022 is divided by 1813.\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 1, -5, -9 in ascending order.\nAnswer: -9, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011000100110 (base 2) to base 11.\nAnswer: 4295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 609174 divided by 783\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340587 and 4264.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 - 18*q + 228. Let n be g(-15). Solve -32 = -16*w + n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 17. Let i(n) be the second derivative of -5*n**4\/12 - n**2\/2 + 594*n. What is i(v(t))?\nAnswer: -20*t**2 - 340*t - 1446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5821, -11643, -17465, -23287?\n\"Answer: -5822*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1446 + 2891\/2. What is the second biggest value in 0.158, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 2*t + 4. Let i be o(-4). Put -2, i, 1 in ascending order.\nAnswer: i, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291081?\nAnswer: 3, 7, 83, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(316 + 797*c - 339 - 883*c)*(c**3 + 0 + 0)*(3 + 1 - 2).\nAnswer: 344*c**4 + 92*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**3 + 10*a**2 + 8*a + 4. Let u be j(5). Let p = -70 - u. Suppose 108 = p*m - 541. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 - 0) + 361)*(-4)\/3. Let y = -233 - r. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3262*n - 1659*n - 2250*n - 2374*n.\nAnswer: -9545*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.00607 and -0.2.\nAnswer: -0.20607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606964 is divided by 55178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2467377 to 1 decimal place.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 8 + -2 + -2. Let i(v) = b - 17*v + 7*v - 19*v. Is i(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*s + 9, 5*g = s - 2445 + 2384. Which is smaller: 32 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 429519, 1718046, 3865571, 6872094, 10737615, 15462134, 21045651?\nAnswer: 27488166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 20, -4*s + 2*w + 25 = s. Let o(u) = -2*u**2 + 3*u**2 - s*u**2. Let j(q) = q. Calculate j(o(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 at most 1927\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3093, 12759, 29005, 51849, 81309?\nAnswer: 117403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 2323542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-30)*(-936)\/2860)\/((-4)\/((-340)\/3)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (112 + 5) - (-37 + 44 + -20 + 8).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (65 + 40 - (-1 - -11 - (-35 - -40))) + -6\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {w: 1, p: 18}?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/1254996 and 91\/3928?\nAnswer: 2509992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 12)*(-3888)\/1620.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 = -8. Let c(a) = 4*a**2 + 5*a. Let t(j) = -j**2 - j. Let i(v) = u*t(v) + 2*c(v). Let h(p) = -2*p**2. What is h(i(z))?\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 176\/(-6) - (-3)\/9. Suppose -3*b + 3*q = -5*b - 20, 5*q - 10 = 0. Let s = b - v. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + -1 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let q = 1493.2 + -1493. Which is the third biggest value? (a) -1\/6 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, -5 in decreasing order.\nAnswer: -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 7. Let l be k(7). Suppose -8*v + l = -6*v. Solve -5*b + 3*b + v = 3*u, 2*b - 4*u = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4516 + 6192 + 5849 = 163*k - 3396 for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 53*y - 58*y)*(-1 + 5 - 3) + 0 + 0 - y.\nAnswer: -107*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14*k - 615. What is l(23)?\nAnswer: -937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + 8)\/(2*1\/(-2)). Suppose m = -152*c + 151*c. Solve c = -0*p - 5*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-33)\/(-88)*(-28)\/(-21))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -898*v**4 + 815*v**4 - 9*v**5 + 5744*v**2 + 8*v**6 + 9*v**5 wrt v.\nAnswer: 960*v**3 - 1992*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 786711946 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nshhnnhhhshnhsnnsns?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 74. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6\/(-8) + (30330\/(-40))\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -16*i + 40 + 155 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 184 + v**2 + 184 - 71*v**3)*(0 + 2*v + 0) to the form n*v**3 + q + u*v**4 + k*v**2 + m*v and give u.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658*c + 178*c + 171*c + 1750*c**3 - 1748*c**3 - 1007*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9136046?\nAnswer: 2, 4568023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + 2*h**2)*((3 - 3 + 1)*(-50 + 4 - 29) + 1 + 2 - 2).\nAnswer: -148*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = v - 12, 2*g - 6 = -0*g - 2*v. Let q = 24 - g. Suppose 0 = 2*t + 2*t - 12, 3*t - q = -3*o. Solve -a - 10 = o*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25418*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1411 divide 4288636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.261 and 676.\nAnswer: 176.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = -70. Suppose -3*p = -p. Suppose p*c + 36 = 3*c. What is the lowest common multiple of c and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 8:15 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1153 at most 2\/19099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84853 - -84808.037. Let m = c + -0.037. Let r = m - -44.924. Round r to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 524 - 369. Let q = 18 + i. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3479 times 0.28\nAnswer: 974.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -874 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 20 (b) -4 (c) -26 (d) -7 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 - 7*v + 2. Let j be n(-6). Let t(s) = -s + 6. Let a be t(j). Sort 1, a, -1.\nAnswer: a, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21e (base 15) to base 12.\nAnswer: -33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*t + 19 = 0, -2*p = p + 5*t + 21. Let c be 6\/(2 - p\/(-4)). Solve 0 + 16 = -c*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 6:57 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/456)\/(((-2)\/(-1))\/(-48))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5256 less than -3.578?\nAnswer: 5252.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101 (base 2) to base 16.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1378326\/335 or -4113?\nAnswer: -4113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 11*i - 2*i - 0*i + 2*g - 69, -7*i + 2*i - 3*g = -15 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 4*h - 6. Let z be b(6). Suppose 2*y + 4 = -4*p, -10 = -z*p + 11*p + 5*y. Solve -4*a + 5*v - 4 = 2, p = 2*a + 3*v - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 z when four letters picked without replacement from {f: 2, m: 2, p: 1, z: 4}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = 3*b - 4*s, 8 = -0*s - 2*s. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u - 2. Suppose -n + 5*n - 52 = 0. Calculate the remainder when n is divided by f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90\/(-27) + (-4)\/6. Let j = -4 - m. Suppose 2*h = j, 5*f - 2*h - 3*h - 885 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-306)*-12)\/((16\/(-90))\/4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -628824 by -6.\nAnswer: 104804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*k - 9764 = -10793 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -43.\nAnswer: -38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-20) + (-76)\/(-20). Solve -p = d + 2, 2*p = -d - 0 - z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 77\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l - 29. Determine x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*u + 113*u + 36*u = 63*u - 11256 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l. Let v = -701\/152 - -90\/19. Let i(m) be the third derivative of 0 + m**2 + v*m**4 + 0*m + 0*m**3. Give i(x(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 20, 0 = -b - 84419*d + 84424*d - 70 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-82)\/(-20) + (-2)\/(-4) and 71\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -146b46a?\nAnswer: -146b473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*i + 2*d**3 + 78*d**2*i - 2551*d**2 - d*i - 32*d - 8*i - 352 wrt d.\nAnswer: -18*d*i + 12*d + 156*i - 5102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20*15\/450)\/((-6)\/(-1))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264972*z + 7 + 264970*z - 5 - 2.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-2))\/1)\/((-2365)\/(-946)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 458745 and 1105.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.7675 times -0.09?\nAnswer: -40.209075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2716 - 1779 - 1264)*(0*u**2 + 3*u**2 - 4*u**2).\nAnswer: 5759*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2\/7, 7333, 0.4, -67?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4\/20 + 6*y**3\/5 + 13*y**2\/2 + 3642. Factor v(r).\nAnswer: r*(r + 5)*(r + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*v + 16 - 7, -15 = 5*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 + 4*q**2 - 4*q - 4. Let m(f) = 41 + 27*f - 27*f**2 - 11 - 7 - 21*f**3 + 4. Determine 4*m(p) + 27*u(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.33988 to 0 decimal places.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 - 13*p**2 - 17*p**3.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 248564, 249912, 251260, 252608, 253956, 255304?\n\"Answer: 1348*l + 247216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -26. Find the third derivative of 0*d**p - 8*d**4 + 4*d**4 - 2*d**2 wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3884958738?\nAnswer: 2, 3, 101, 103, 20747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 107. Let o = 227 + -299. Which is greater: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65191372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v\/v**(4\/9))**(21\/4)*v*v\/v**(1\/10)*(((v*((v*v**(5\/2)*v)\/v*v)\/v*v*v)\/v)\/v*v)\/v assuming v is positive.\nAnswer: v**(376\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 3. Let r(f) = 7*f + 11. Let d(o) = -6*r(o) + 22*x(o). Let n(p) = -4 + 2*p + 4. Determine n(d(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -129.5425. Let b = j + -0.0575. What is the third smallest value in -0.4, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12107 = -q - v, -4*q - 4*v = -2*q - 24224. Suppose -q = -29*y + 10286. What are the prime factors of y?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 20 - 1)*(-4*m + 0*m + 2*m)*(3*m - 3*m - 2*m) to the form d*m + l*m**2 + r and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077528 rounded to 4 decimal places?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 + 5*f**2 + 5*f + 8. What is p(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from siiuee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 + 165.999978922. What is b rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.226*-239\nAnswer: 54.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -2*q**7\/189 + 2*q**6\/45 - q**5\/45 - q**4\/9 + 4*q**3\/27 + 780*q + 1. Let z(r) = 0. Calculate r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 1846*j - 116039. Determine n(59).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 1474.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -237\/20 + 1699\/140. Which is the second smallest value? (a) y (b) -20 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163366?\nAnswer: 2, 7, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2. Let n(l) = 8997267*l. Determine j(n(b)).\nAnswer: 161901626938578*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 43. Suppose -22 + 7 = -g*x. Suppose -163 = 2*u - f, x*u + 430 = 2*f - 7*f. What is u rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.452 rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 106*p - 1395. Calculate w(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 17. Suppose -2*r = 3*n - 3*r - 37, 3*n - 47 = -4*r. Let l be p(n). Which is the third biggest value? (a) -4 (b) -3\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52411550 to the nearest 10000.\nAnswer: 52410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/364 + (1 + -2)*1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -1.17, -2\/43, 3, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 7*y**2 + 6*y - 1. What is u(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*a**3 - 220*a**2 - 185*a - 50 = 0. What is a?\nAnswer: -1, -10\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 5*c - 284 = 0, 11*y - 2*c = -3*y - 1147 + 1311 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - 1) + 5 - 3) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 37 and -333474159954.\nAnswer: -333474159917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*m - 79 = -o, -2*m = -10. Calculate the smallest common multiple of o and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -115, -348, -799, -1540?\n\"Answer: -12*t**3 - t**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158143 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a - 3. Determine l(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {b: 5, n: 6, m: 2, z: 3, v: 1}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3168704)\/(-880) + (6\/5 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/2)*q)**(-3)*q\/q**29*(q\/q**(-2))\/q assuming q is positive.\nAnswer: q**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 7*p - 1. Let m(q) = q**2 + 4*q - 7. Let w be m(-6). What are the prime factors of l(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 44380*u**3 + 87743*u**3 - 44052*u**3.\nAnswer: -689*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389513 is divided by 2153.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) 4 (c) 6 (d) -0.5 (e) 350\/107 (f) -0.1 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/3 - 20*j**3\/3 - 50*j**2\/3.\nAnswer: -2*j**2*(j + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2320 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 159.7975cm?\nAnswer: 1597975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2716 and 210?\nAnswer: 40740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -96*j. Let r(n) = 734*n**2 + 2*n. What is r(q(d))?\nAnswer: 6764544*d**2 - 192*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 + 2*j**3)*((-2*j - 1 + 1)*(2 + 0 - 5) + 3*j - 6*j + 5*j - 1 + 1 + j).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -2793.\nAnswer: 1\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20011, 20012, 20013, 20014?\n\"Answer: y + 20010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -22. Let g(m) = -2*m + 12. Let o be g(a). Let d be (-1)\/(-2) + 25\/10. What is the greatest common factor of d and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let n be (-2 + s - -3)*4. Calculate the remainder when 490\/40 - 1\/n is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 - -88. Let s(g) be the third derivative of 0*g**4 + 1\/60*g**5 - 1\/24*g**6 + 4*g**2 + h + 0*g + 0*g**3. Find the third derivative of s(k) wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6642873134 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19 + 2\/1)\/(-1). Suppose 3*v - 232 = u. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 59.4. Let t = -1 - -0.6. Put b, t, -1 in decreasing order.\nAnswer: b, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:27 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9254 + 17678. Calculate the greatest common divisor of 26 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.98 - -8.7. Let b = j + 3.15. Let s = -10.77 + b. Round s to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/6 + 1*(-6)\/9. Sort s, 0, -1, -6.\nAnswer: -6, s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24685*h**3 + 49395*h**2 + 24735*h + 25.\nAnswer: 5*(h + 1)**2*(4937*h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 + 192*l - 123. Calculate p(48).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*d + 3*d + 16, 0 = -2*d + 2. Which is the second smallest value? (a) -4 (b) g (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71118 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114023*d**4 - 126972*d**2 wrt d.\nAnswer: 2736552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1435039 is divided by 478286?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19008304, -38016610, -57024916?\n\"Answer: -19008306*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(343))**2 - sqrt(343) - sqrt(126)\/sqrt(2) - (-2 + (4 + sqrt(140)\/sqrt(5) - sqrt(28))).\nAnswer: 18*sqrt(7) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1967, 3940, 5913, 7886, 9859?\nAnswer: 11832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36028\/2409 less than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 3*b = 13*n + 10, -17 = 2*n + 3*b for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -18*o + 14. Calculate b(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 628 + 751 + 2*d)*(-27 - 17 + 3).\nAnswer: 82*d - 5043","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -8*l**2 + 56*l + 32. Let y be n(-4). What is the highest common divisor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 84*i + 4 - 2 + 56*i + 0 in the form k*i + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(456)\/sqrt(192))\/(sqrt(8) + (sqrt(8) - sqrt(288)*-2 - sqrt(8))))**2.\nAnswer: 19\/2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/10 - 6*d**3\/5 - 21*d**2\/5 - 22*d\/5 - 10. Factor g(b).\nAnswer: 2*(b - 11)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 2:35 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700)*-2 - sqrt(700))*4)**2*1 + (sqrt(252) + -1 + sqrt(252) + 1*sqrt(7)*-4)**2*4.\nAnswer: -64*sqrt(7) + 102596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 9*s - 7. Let p be k(5). Let j(d) be the third derivative of d**5\/20 + d**3 + 8*d**2. Let v(b) = 6*b**2 + 13. Calculate p*j(q) - 6*v(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q**2 + 3294*q**3 - 1487*q**3 - 1816*q**3 - 24*q**2.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 38. Let h = j - 17.000002. What is h rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3776928355 to the nearest integer?\nAnswer: 61457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:17 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -462, -417, -334, -207, -30, 203?\n\"Answer: a**3 + 13*a**2 - a - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 37*d**2 - 19*d + 13. Let l be p(18). Let h = 0 - -3. Let a be (2\/2 - 1) + h. Put 5, l, a in increasing order.\nAnswer: l, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2379, -2425, -2519, -2685, -2947, -3329, -3855?\n\"Answer: -4*l**3 - 18*l - 2357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26728574*t**2 + 135483249*t wrt t.\nAnswer: 53457148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*b = -209380, -b + 695 = 691. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 752\/5 or 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from hhlgugi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.325 (b) -2\/7 (c) 6956\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 10, e: 2}. Give prob of sequence eet.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7.3. Let l = 0.4 + -0.3. Let a = l + 0.1. What is the closest to 2 in a, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 4*p - p**2 + p**2)*(2*p**2 + p**2 + 0*p**2).\nAnswer: -3*p**4 - 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(4\/5))\/v*v*v**2*v\/v**5*(v\/v**(-1\/12)*v)\/v assuming v is positive.\nAnswer: v**(53\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3567, 28352, 95569, 226434, 442163, 763972, 1213077?\nAnswer: 1810694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40825 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -807*u - 101. Let k = 229 + -233. Is w(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udxotjoj. What is prob of sequence ud?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 - 1)*56\/(-42). Suppose -4*t - 76 = -4*u, -2*u - 4*t + o = -2. Calculate the remainder when 47 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - ((6 + -11 - -12) + -5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 479801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06966? (a) -3 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31950, -31958, -31970, -31986, -32006, -32030, -32058?\nAnswer: -32090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**3 - 2*s**2 + 2*s**2 + 0*s**2 + 2 in the form q + o*s**2 + t*s**3 + f*s and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-8)*4716\/(-2751)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:11 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1, 8*k = -3*z + 3*k + 17. Solve 4*c + z*x - 35 = 7*x, -c + 10 = -x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 4*w + 6. Suppose -20 = -4*j + 4. Let r be t(j). Suppose 5*o - 2*o - r = 0. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*p + 104*p - a + 2 = 0, 5*p + 3 = 12*a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14 = -p + 17, 0 = 2*d + 2*p - 32. Suppose 0 = -7*q + 3*q + 3*u + 117, -5*q + 153 = 3*u. What is the smallest common multiple of q and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and 22.955?\nAnswer: 4.36145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {i: 1, q: 2, g: 3, e: 10, b: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 150 = -0*o - 4*o, -3*w = 5*o - 77. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8372 - -8371.5. Sort 0.5, k, 35, -14 in descending order.\nAnswer: 35, 0.5, k, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v. Suppose j - 32159 + 612159 = v. What is j rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + -1 + sqrt(19) - (sqrt(19) - sqrt(95)\/sqrt(5)*-2)**2)*-2*-5.\nAnswer: -1737 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -116*s**7\/105 + 8*s**5\/15 + 3*s**2 - 31*s. What is the third derivative of o(x) wrt x?\nAnswer: -5568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*j**4 + 1350*j**3 - 7307*j.\nAnswer: -84*j**2 + 8100*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17737\/7503 - 80\/183. Let z = s + -2732\/205. Calculate the common denominator of 89\/14 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 11) in base 3?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 98 = g - 521, -2*l = 5*g - 435. Is l a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (3 + (-7424)\/6600) and 65\/3?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56541 is divided by 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-3)*117\/6. Let s = 53 - v. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2031 * -0.01208.\nAnswer: 24.53448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 956553984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a - 201*a + 63*a - 704 = -61*a for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 682152 and 104920?\nAnswer: 208056360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 - 90. Is (-1431)\/(-36) + k\/4 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3412 divide 210012012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*r - 7*x - 108, -2*r - 44 = 2*x. Let s be (20\/(-12))\/(r\/72). Calculate the remainder when -6*s\/((-48)\/116) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 73\/3, 2.69 in descending order.\nAnswer: 73\/3, 2.69, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5044210 divided by 185.\nAnswer: 27266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -330 in 2, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**4\/4 + 5*g**3\/3 - g**2\/2 + 2*g + 9. Let k be f(4). Solve 3*s - 2*j = -4*j + 2, -s - k = -3*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 435*x**2 - 306 wrt x?\nAnswer: 870*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 2)*(0 - 6*y**3 + 2 + 0*y**3)*(y - y - 2*y)*(1119 - 370 + 820) to j*y**4 + z + a*y**2 + o*y**3 + v*y and give v.\nAnswer: -6276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32130.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 45 (c) 0.3 (d) 2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2 = 3*c, -4*c - 23 = -1121*i + 1126*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533009 is divided by 163.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 15. Suppose 84 = -b + u*b. Suppose -m + b + 40 = -s, -m = -5*s - 73. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a factor of 10716435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 k, 1 i, and 1 a when four letters picked without replacement from {m: 1, i: 1, a: 1, s: 3, k: 3, o: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*b**2 - 58\/5*b - 264\/5.\nAnswer: 2*(b - 33)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 132\/5. Let u be (4\/3)\/((-28)\/(-84)). Is u bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 9*z**2 + 10*z - 8. Let s be f(-10). Let v be ((-205)\/2)\/(4\/s). Suppose -5*b + 5*y + v = 0, 37 - 231 = -4*b - 2*y. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/167 + 7745\/7682. Let d = q - -12\/23. What is the second smallest value in 4\/7, -1, d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 3:31 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 1, b: 2, h: 4}. What is prob of sequence jhyb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 352, 331, 310?\n\"Answer: -21*c + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 - 7*w**3\/6 - 3*w**2\/2 - 5*w. Let g be m(-6). Does 6 divide (1 - 1) + g - -14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + 27. Let a be ((-160)\/(-15) - 11)*(-37 + 1). Suppose -a*h = t + 71. Is -6 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -348, -2, 262, 0 in decreasing order.\nAnswer: 262, 0, -2, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 77 = 19*p. Suppose -y - 2*d - 3*d + p = 0, -d = y - 3. Let z(a) = -a**2 + 2*a - 1. Determine z(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v - 58*v + 2 = -2*q, 4*q + 3*v - 24 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Let c(u) = 9*u**2 - 62*u + 51. Let b be c(6). What is the derivative of -8*q**3 - 2 + 4*q**g + 34*q**4 + 4*q**b wrt q?\nAnswer: 136*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 3 = 7*u. What is the closest to -1\/3 in u, 4, 2, 5\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -148536, 5, 2\/3, 1?\nAnswer: -148536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*l + 2*c**2 - 5072*c*l**2 - c + 25096*l**2 + 2*l - 2 wrt c?\nAnswer: -4*c*l + 4*c - 5072*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5687175 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14396367, -14396364, -14396359, -14396352?\n\"Answer: i**2 - 14396368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**6\/240 - 13*v**5\/20 + 56*v**2 - 48*v. Factor y(r).\nAnswer: -r**2*(r + 78)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68654401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40350914?\nAnswer: 2, 53, 101, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**6\/60 - k**5\/20 + k**3\/6 - k**2\/4 + 21*k. Factor j(l).\nAnswer: (l - 1)**3*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254488 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let i = -20 + 17. Calculate l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104643826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**33*p**(5\/4)*p)\/((p*((p\/(((p\/(p\/(p*p**(11\/4)*p*p)))\/p)\/p))\/p)\/p)\/(p**(-1\/29)\/p)))**(-16\/11) assuming p is positive.\nAnswer: p**(-17616\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -17.3?\nAnswer: -17.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709*g + 17*o - 273 = 705*g, o - 17 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 1\/30*u**5 + 1\/2*u**2 - 6 + 0*u + 0*u**4 + 0*u**3. Let l(y) be the second derivative of n(y). Let i(v) = 2*v. Give i(l(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/5)\/(8\/(-20)). Suppose 0 = a*y + 4*f - 16, 3*y + 20 = 7*y + 5*f. Let h be (2\/(-4)*y)\/1. Solve h = 2*j + 2*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(-2*-1*sqrt(171) + -3*4*sqrt(171)))**2*-2 + 5.\nAnswer: -34213 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 16*l - 45. Let r be y(-18). Let k(x) = -x**3 - 4*x**2 + 48*x + 32. Let f be k(r). Solve -2 = t - f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15152540 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -446. Suppose 0 = -16*w + 18*w - c. List the prime factors of w.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaasaaaasasas. What is prob of picking 1 s and 1 a?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 11) to base 6\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -20.89.\nAnswer: -6.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/2248 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246734?\nAnswer: 2, 19, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:33 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-1\/4)\/v*v))**(-1\/15) assuming v is positive.\nAnswer: v**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 0 in decreasing order.\nAnswer: 0.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.8 - -34.2. Let f = y + -35. Sort -2\/9, f, -5\/4 in ascending order.\nAnswer: -5\/4, -2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349073, 349047, 349021, 348995, 348969, 348943?\nAnswer: 348917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -66. Solve -d*g = 3, s + 3*s + 3*g + 19 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*s - 90*s + 146911 = -f, -29379 = -s + f. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/(3\/4). Let a = -1.1 + 0.1. Let r = a - -1.3. What is the nearest to -2\/5 in 1, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 2*l + 1\/2*l**3 + 3 - 1\/2*l**2. Let d(p) be the first derivative of z(p). Calculate d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221641?\nAnswer: 1221641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 18.93. Let l = -257550.0700065 + 257550. Let v = l + k. What is v rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 9 = -3*s, r = s + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8.3, -2\/9, 0.3, -1, 2?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112440 - 31?\nAnswer: 112404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 4952522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*k - 2*k + 0*k)*(3*k + 29516 - 29528 + 12*k) to the form v*k + a + y*k**2 and give y.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-18))\/((-10)\/3) and 67 - 62 - (6993\/585 + -8).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1332901\/36 + 37021. What is the common denominator of 6\/9*43\/12 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -44 (b) -9\/149 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 26769834.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -7 + 29 + (-36 - -32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -11303\/5412?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + -15101d8?\nAnswer: -15101c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9e7 (base 16) to base 4\nAnswer: 213213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**5\/40 + 13*i**4\/8 - 491*i**3\/12 + 1989*i**2\/4 - 23409*i\/8 + 1259. Determine b so that c(b) = 0.\nAnswer: 9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -139, 1\/3, 122, 0.2, -0.5, -5?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14258 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5\/7 + 92*o**4\/7 - 100*o**3 + 100*o**2\/7 + 5976*o\/7 - 8352\/7 = 0. What is o?\nAnswer: -29, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14994960 - 14994966.0000006. Let g = -6.11 + 0.11. Let p = o - g. What is p rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171 (base 14) to base 10\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4002993.25 to the nearest 10000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 788 (base 12) to base 4\nAnswer: 101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5027 and 14167?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Let d = -200 + 1401\/7. Is n at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1233149979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -139\/217416 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -2\/23 (c) 58 (d) 1\/2 (e) 4\/5 (f) -401\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3039 + 3022. What is the closest to -3 in -2\/21, 3, p?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6688*h**4 + 29*h**3 - 28*h**3 - 6681*h**4 + 2*h + 2*h**2 + 21 + 0*h**2 to the form d + y*h**2 + a*h + n*h**4 + c*h**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5259789 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 2 + 2 - 2*r + (-1 - 2*r + 1)*(-2 + 2 - 8*r) - 87*r**2 + r + 104*r**2 - 3 + 4*r.\nAnswer: 35*r**2 + 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 178 (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -12, -18, -26, -36, -48, -62?\n\"Answer: -k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604646 divided by -43189.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 9, x: 2, q: 3, n: 3, p: 2}. What is prob of sequence xpx?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 3*s - 40. Solve s*l + 2*f = -14, -4*f + f = -5*l - 29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2317*b**3*s**3 - 139901*b**3*s + 2*b**3 + 934*b*s**3 + 53*b*s wrt s?\nAnswer: 13902*b**3*s + 5604*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403499?\nAnswer: 403499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 3*q**2 + 8*q - 13. Determine r(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -613700 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55454135867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 7\/20*r**5 + 3\/10*r**6 + 0 - 11\/12*r**4 + r**2 - 7\/6*r**3 + r. Factor b(o).\nAnswer: (o - 1)*(o + 1)**2*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106289.\nAnswer: 157, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by -1?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52428909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3))\/u*u)\/u**(-1) assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-2 - (-7 - -3)). Let n(g) = 3*g + k*g - 9*g + g. Let l(v) be the first derivative of -v**3 - 2. What is l(n(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2510.458kg to grams.\nAnswer: 2510458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -8. Let z(p) = 2*p**2 + 13*p + 2. Let i(q) = q**2 + 6*q + 1. Let a(w) = -2*w - 6. Let b be a(-4). Let f(u) = b*z(u) - 5*i(u). Determine f(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 5*i + 2. Let r be o(4). Let z be r\/9 - (-3690)\/(-162). Let x = z - -44. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**4\/3 + c**3\/6 + 9*c**2 + c - 30. Let r(h) be the second derivative of q(h). Let y(a) = a - 1. What is -r(w) - 6*y(w)?\nAnswer: 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7183113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = j - 6*j. Suppose -2*v + 20 = j*v. Let d(o) = -5*o**2 + 4*o - 6 + 4*o**2 + o + o. What is d(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 3*t + 10 - 13, 0 = -4*v - t + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99844163*l**3*m + 255907930*m with respect to l.\nAnswer: -299532489*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 19*d**3 - 2 + 1.\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -3 (c) -0.04 (d) -0.034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/5 - 48*c**2\/5 - 153*c\/5 - 108\/5 = 0. What is c?\nAnswer: -12, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36369 is divided by 527.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z - 3*u - 1965, -2*z - 1270 = -3*u. Sort -1\/4, 1\/7, z in descending order.\nAnswer: 1\/7, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3118 + -112235\/36. What is the common denominator of z and -37\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 17*n. Solve -y - 3*y - 12 = n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 4*p**2 - 5*p + 5. Let s(g) be the second derivative of 3*g**5\/20 + g**4\/2 + 4*g**3\/3 - 4*g**2 - 7*g + 1. Determine 5*s(t) + 8*x(t).\nAnswer: -t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 k, and 1 x when four letters picked without replacement from efzxfzfzzzkfzzezkfkx?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.2 (b) -0.4 (c) -53 (d) 0.2 (e) 45.4 (f) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**2\/7 - 594*d + 291264\/7 = 0.\nAnswer: 74, 1312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*n - 523*n + 12939 - 14154 = 21787 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10 + (-14 - -4462) - 0.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**2 + 8*n**2 - 14*n**3)*(3*n - 6*n**2 + 4*n**2 - n).\nAnswer: 28*n**5 - 28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55855.611 milliseconds in hours?\nAnswer: 0.0155154475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d + 1. Let m be v(2). Does 9 divide m\/(-3)*(45 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-70))\/(1\/21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365068840?\nAnswer: 2, 5, 223, 40927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-5) + 5\/(-25). Let b = -8 + v. Let h be (20\/12 + b)*-6. Let g(l) = l**3 + 5*l**2 + 5*l + 4. What is g(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14*f**2 - 11. Let g(x) = 3*x**2 - 2. Let c(p) = 11*g(p) - 2*h(p). Let t(n) = 0 - 2 + 2 - n**2. What is c(t(d))?\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 45250*h**3 + 12273*h**3 - 2 - h**2 + 7*h**2. Let k be r(-6). Let b = k + 22024682. Round b to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 6, 5, 0.3, -71, 9\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.07 (b) 0.5 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 4*x + 5. Is u(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 16) in base 8?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 7979594.\nAnswer: 2\/3989797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.7, 18370, 0 in increasing order.\nAnswer: 0, 3.7, 18370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(55)\/(sqrt(10)\/sqrt(2)))**2*-5.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.32364mm to kilometers.\nAnswer: 0.00001332364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 - 12 = -5*q, -q + 20 = 4*r. Is 48\/80 + 1 + 20997\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1554 or -921507\/593?\nAnswer: -921507\/593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = -4*x - y, -3*x - 5 = 4*y. Put -5, 0, x in descending order.\nAnswer: x, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 2343503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1772 - 1772 - 62*q**2)*(2*q + 1 - 1).\nAnswer: -124*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i**3*p**3 + 2*i**2*p**3 + i**2*p*r - 46*i*p**3*r - 12*i*p**3 + 2*p**2*r wrt i?\nAnswer: 36*i*p**3 + 4*p**3 + 2*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**8\/10080 + x**7\/1260 + 3*x**5\/4 - x**4\/12 - 2*x**2 - 18. Let t(q) be the third derivative of l(q). Determine t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a factor of 41039900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/(-7) - 4\/(-14). List the prime factors of ((-88)\/(-2))\/(l\/(-3)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n**2 + 159*n + 1093. Let u be y(21). Suppose -3*q = -0*q - 6, 3*q = 4*i - 86. Are i and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*b - 12, f - b - 1 = 0. Let x(u) = u**3 + u**2. Let m be x(-1). Suppose d - 12 = -m*d. Solve 5*l + v - d = -v, -f*l = 5*v - 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6152, -16, 0.3 in descending order.\nAnswer: 0.3, -16, -6152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/7))**(-43)\/(i**(-1\/5)*i*i\/((i*i*i*i*i**(1\/11)*i*i*i)\/i)))\/(((i*i**(2\/5))\/i)**14\/(i\/(i**(-2\/7)*i))**(-38)) assuming i is positive.\nAnswer: i**(-16509\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*f + 32 = 0, 5*f = -12*w + 865 - 719 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c + 22*c = -15, 5*i + 20 = 5*c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 438*h**2*m*o**2 - 3*h**2*m*o + 775*h**2*o**2 - 17620*h*m*o**2 + h*m*o - 17*m*o**2 - 2*o**2 wrt h.\nAnswer: 876*m*o**2 - 6*m*o + 1550*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + -1 - sqrt(931) - sqrt(19)) + 2*sqrt(475))*-4.\nAnswer: -36*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*z - 3)*(16 - 17 - 46)*(5*z**2 + 12*z**2 - 10*z**2 + (-2*z + 0*z + 4*z)*(4*z + z - 3*z))*(3*z - 2*z - 3*z).\nAnswer: -2068*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 14034310?\nAnswer: 14034304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -26896?\nAnswer: 268aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8900243 divided by -6.\nAnswer: -8900243\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 - 2*a**2 + a. Let c be k(1). Suppose -c*d = -d - 3*x - 14, -x = -5*d + 22. What is the second derivative of -67 - 2*m**d + 5*m + 67 wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4772?\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8045086.5s?\nAnswer: 2234.74625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 1 + 1 - 7*g + 2*g + 2*g + (-2*g - 2*g + 3*g)*(2 + 4 - 4))*(2 + 3 - 6 + (2 + 2 - 3)*(1 + 4 - 4) - 5 + 3 + 1 - 3 + 5 + 0).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5208 divided by 1?\nAnswer: 5208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405 divided by -2.\nAnswer: -405\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7028504 is divided by 2789.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.01, -2.2, 15, -2\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62045752?\nAnswer: 2, 67, 115757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.009*-145\nAnswer: 1.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25496.99 hours in milliseconds?\nAnswer: 91789164000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 163263?\nAnswer: 163264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 8:40 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3526\/61 + 526209\/427. Let y = h - 405793\/315. Calculate the common denominator of -32\/5 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-266)\/741))\/(28\/((-5040)\/54))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 4 + -1 + 1. Let g(r) = 0*r + 5 - 3*r + c*r. Let u be g(-6). Is -2\/5 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007523 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**2 + 7. Let x(b) = b**3 - 6*b**2 - 6. Let d = -213 - -219. Calculate d*h(r) + 7*x(r).\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.315 + 2.685. Which is the closest to 0.8? (a) s (b) -2 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 4 (c) 256\/7 (d) 5 (e) -0.5 (f) 1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 2*u - 30, 5*a + 63 = 3*u + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + 21. Let c(x) = 15*x + 126. Let t be c(-8). What is z(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*a + 33 = 0, 11*u + 2*a = 8*u + 14. Let i(l) = -l**2 + 7*l + 1. What is i(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*p + 3*f, 0 = -447*f + 451*f + 4. Solve 2*m = -12*m - p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.033 - 37.433. Let a = p - -38. Which is smaller: -1\/10 or a?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*o**3 - 6*o**3 + 8*o**3 - 29*o**3 - 2 + 2*o**3 + 80*o**2 wrt o?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (15 - 6) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74423357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35222735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 995. What is u(32)?\nAnswer: -1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (28 + -62 - -44) + -36?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-15))\/(-7)*(-45)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4538871 and 3277?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 189234 divided by -29\nAnswer: -189234\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11736035, -11736017, -11735987, -11735945?\n\"Answer: 6*s**2 - 11736041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37295 or -37564?\nAnswer: -37295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 1. Suppose -20 = -4*j + 2*l + l, -3*l - d = 5*j. Let i be j\/(-12)*(2 - 6). Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-446)\/(-16) - 69\/46 - 2. Let a = 959\/40 - v. What is the nearest to -0.2 in -4, -0.5, a, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.04 (b) -1\/2 (c) -3768 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13)*3*5 + sqrt(13) + sqrt(13))) + -1*-2*sqrt(13))**2.\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -217. Let i = m - -206. Calculate the remainder when i is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*z + 6*z - 1 - 6*z)*(-4 - z + 4)*(-87 + 1142*z + 161 - 74).\nAnswer: -22840*z**3 + 1142*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9426 = 16*x + 9442. Sort -3\/8, 31, x in decreasing order.\nAnswer: 31, -3\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 572.9 in 1\/3, -6, 3\/4, 0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74238?\nAnswer: 2, 3, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95 + 74. Let u be (2 + -1 + -1)\/(20 + m). Let q = -4.96 - 0.04. Which is the closest to u? (a) 0.3 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -56*w - 235 - 27*w**2 + 730 + 52*w**2 + 206*w - 30*w**2 = 0.\nAnswer: -3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127101 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*v = -0*t + 5, 30 = -4*t - 2*v. Which is greater: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 178, 1860, 5048, 9736, 15918, 23588, 32740?\n\"Answer: -d**3 + 759*d**2 - 588*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 90 + 250. Let d = z + -63. Solve 3*l - o = d*l - 11, -o + 7 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -6.94. Let y = 0.028 - k. Round y to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28925?\nAnswer: 5, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 656 or -3?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/74410 and -9\/557012?\nAnswer: 19495420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -130?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 10*t**2 + t + 13. Let w be a(-10). Find the third derivative of 5*u**3 + 9*u**2 - w*u**2 - 14*u**2 + 2*u**3 wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 857 + -25. Let w(t) = -827*t + 8 - t**2 + n*t + 0. What is w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*x**3 + 1769590*c**2*x**2 - 20*c*x**3 - 89*c*x**2 - 2*c*x - 4*c - 7*x wrt c.\nAnswer: -2*x**3 + 3539180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 55, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + 3.7. Let k = -5 + 7. Let l = k + -5. Which is the nearest to l? (a) 0 (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1099, 24, 5, -1 in descending order.\nAnswer: 1099, 24, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, 23655, -1 in decreasing order.\nAnswer: 23655, -1, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1031*w**5 + 2*w**4 + 72*w**2 + 2*w + 2. Let r(i) = -i**5 + i**4 + i + 1. Let k(m) = p(m) - 2*r(m). Find the third derivative of k(x) wrt x.\nAnswer: 61980*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 16054747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181.556 - -395.3.\nAnswer: 213.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2214*p**5\/5 - 427298*p**4\/5 - 1836178*p**3\/5 + 17958866*p**2\/5 - 15669236*p\/5 - 28368\/5 = 0?\nAnswer: -9, -2\/1107, 1, 4, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 19*r - r - 41. Let f be d(-2). Solve 0*q - f = q, -3*q = -4*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/34)*y\/(y**22*y)*y assuming y is positive.\nAnswer: y**(-713\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 3*a**2 + 79*a - 1091. Let d be v(12). Is d less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 9 + 11 + 12 = 0, 5*v + 5*b - 939 = -1009 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.610095128 from 0.1202.\nAnswer: -0.489895128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbq when three letters picked without replacement from bpxbbbpqbxxbbbbss?\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (164 + -4)*8\/10 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9330 + -9406. Which is greater: -19 or d?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*921824.\nAnswer: -829641.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2668 and 285050454.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 11:39 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3 + 1954*r**2 + 54754?\nAnswer: 6*r**2 + 3908*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(45 - -6) - -1*1385\/425\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.38994632 + -4.39. What is p rounded to 6 decimal places?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 3. Suppose -4*b - 3*r + 424 = 0, 48*r = 2*b + 50*r - 210. Let j(w) = 108*w - 2 - 221*w + b*w. Calculate -3*j(q) - 2*l(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 27*j**2 - 60*j - 63. Let d be c(-29). Sort 0, 3, -11, d in ascending order.\nAnswer: -11, d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4249 rounded to 1 dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/z*z*z)\/z**(1\/4)*z*z\/z**(-5\/4)*z*z**(2\/5)\/z*z assuming z is positive.\nAnswer: z**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2)*(-132)\/18. Let c(a) = 4*a - 13 + 5*a - 6*a. List the prime factors of c(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -925, -1143, -1353, -1555, -1749?\n\"Answer: 4*a**2 - 230*a - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5526379 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 11 + 12*p + 12*p**2 - 3*p**2 + 4 + 9*p**2. Is b(-5) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -15.4 (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 42. Calculate q(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50382131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2\/11 + 64566166*p\/11 + 129132328\/11 = 0.\nAnswer: -64566164, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1114888 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.344 + 0.004. Let c = 1.66 - b. Is c at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1) + ((-39)\/(-15) - 3). Are b and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 75 - 56 = 19*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17950575 * 0.05\nAnswer: -897528.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - s - 8 = -71, 0 = -2*b - s - 61. Let d = -27 - b. Solve d*n - 8 = -0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/((-1116)\/(-8))*15\/(-2)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -7\/15, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -66447.\nAnswer: 39868.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146781\/13 + 11291. Sort 13, f, -5, -1\/17, 0.5 in descending order.\nAnswer: 13, 0.5, f, -1\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*g + 28, 0 = -l + 1256*g - 1255*g - 7 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Put -1\/3, r, 5 in decreasing order.\nAnswer: 5, r, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(10\/3)\/n*n*n*n**(-2\/17) assuming n is positive.\nAnswer: n**(215\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*b - 47, -5*r = -2*r - 6. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110.2 + -37.1. Let p = -19.6 + o. Let i = p - 35. What is i rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -3)**2*2.\nAnswer: -144*sqrt(13) + 3762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/116 and -19\/141492.\nAnswer: 4103268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010100001 (base 2) in base 6?\nAnswer: 5253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 98 = t. Let x(z) = 10*z - 51. Let q be x(6). Suppose 21 = -q*s + 84. What is the highest common divisor of t and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 65*m - 572. Let h be o(-10). Which is smaller: -131 or h?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/((-2)\/3). Let t be 4 + w*(2 - 3). What is the closest to 2\/7 in t, -2\/17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h = 27*h - 85 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158620 + -27.\nAnswer: -158647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -4. Let s be (-1 - -2)\/(q\/77). Suppose 4*p = 3*p + s. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - y**2 - y**2)*(1468 - 323 + 3523 + 2129) to w*y + b*y**2 + u and give b.\nAnswer: -27188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84954.93 litres?\nAnswer: 84954930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/5 bigger than -599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -145 + 17dcbb?\nAnswer: 17db76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 22 = -4*p, 5*p - b - 3*b - 8 = 0. Let f = -31 + 31.17. Let d = -0.37 + f. What is the second biggest value in p, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/4 - 88*m**4 - 1865*m**3\/4 + 1805*m**2\/2 + 1853*m - 2202 = 0. What is m?\nAnswer: -6, -2, 1, 2, 367\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/25431261 and 83\/12?\nAnswer: 101725044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7257854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -400, -870, -1652, -2746, -4152, -5870?\n\"Answer: -156*d**2 - 2*d - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-29)*w)\/w*w**(-27))\/(w**13*w**27))**(-29) assuming w is positive.\nAnswer: w**2784","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 577856 and 2048.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 178, 184, 200, 232, 286, 368, 484, 640?\n\"Answer: m**3 - m**2 + 2*m + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -53295 divided by 4845\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 478 - 473. Solve 2*d + d - 15 = 3*s, s + p = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 2*q**2 + 3*q - 3. Let h be ((-4)\/(-4 + 5))\/(-2). Let s be n(h). What is the greatest common divisor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 9. Let x(f) = 4. Let o(p) = -2*s(p) - 5*x(p). Calculate o(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - 3.5. Let x be (-102)\/(-4)*10\/(-15). Let p = 14 + x. Which is the closest to k? (a) 5 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 20*j**2 - 9. Suppose -5*r = -144*r + 2780. Calculate t(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -74*v. Let w(l) = -l. Calculate o(w(f)).\nAnswer: 74*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 13. Let t be n(-8). Let k(j) = -79*j**3 + 39*j**t + 41*j**3. Let o(g) = -g**3. Suppose -3 = -5*l - 8. What is l*o(d) - 4*k(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 1. Let c(g) = 26*g - 2. Let n(m) = -2*c(m) - 4*f(m). Let w(s) = 3*s**2. Determine w(n(b)).\nAnswer: 13872*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3407866506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from tiustiusdupiiu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 + 200. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 23. Calculate u(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 6*q**2 + 5*q + 4. Let f be x(-2). Suppose -6*i + f*i = -936. What is the remainder when 43 is divided by (-2)\/5 - i\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 34*k - 11*k**2 - 34*k. Let p(q) = 206*q**2 - 2*q - 207*q**2 + 2*q. Give o(p(r)).\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7104 - -0.7104. Let m = -0.08 + 0.48. Which is the closest to 0? (a) f (b) m (c) 3\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63072163.\nAnswer: 7, 11, 117017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5401*f - 1132488 = 755*f + 6458*f - 2128*f for f.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 1 - 1 - 3*w - 2*w + 3*w + (4 - 3 + 1)*(w + 3*w - 5*w))*(1 + 0 + 0)*(-6 - 8 + 3) to the form g*w + m and give g.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:02 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563?\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3)\/((135\/(-30))\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1054 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0*x**4 + 0*x**3 - 5*x**2 + 1\/525*x**7 - 1\/150*x**6 + 1\/150*x**5 + 0*x + 0. Factor w(u).\nAnswer: 2*u**2*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331532 (base 6) to base 10.\nAnswer: -27632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3420097712 rounded to five decimal places?\nAnswer: 3.34201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 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: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {c: 1, t: 1, y: 1, x: 3, d: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 55 = 5*z, 3*u + 28 = 2*z + 4. Suppose 4*o = z + 3. Are o and 54\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 54, 61, 56, 33?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2686094370?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j - 3*z, 4*j - z + 5 + 11 = 0. What is the units digit of j\/8*-6 - -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72945 = 5*s - 18*o + 23*o, 29172 = 2*s + 5*o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) -0.3 (c) -1 (d) -0.077\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 444 and 74.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 565507?\nAnswer: 1\/565507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*b, 6*o - 3*o = 2*b + 13. Differentiate -55*x**o + 5 - 60 - 36 - 4 - 10 wrt x.\nAnswer: -165*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 444 and 36260.\nAnswer: 108780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27642.7739141 + 26438.77399. Let d = k - -1204. What is d rounded to 6 dps?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 848 - 26. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 0 - 48 - 3*j**3 + (-4*j**3 + 4*j**3 - 2*j**3)*(-4 + 0 + 2).\nAnswer: 2*j**3 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/3920 and 71\/100.\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 45. Suppose o = w + 8 - 76. Is 67 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/21 + 70*k**4\/3 - 22076*k**3\/21 + 21584*k**2\/21 = 0. What is k?\nAnswer: -284, 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -10 - 2. Suppose -5*t = -4*p - 120, g*t - 45 = 3*p + 27. Suppose -4*d = y - 27, -d + t = d + 4*y. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81216 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 30. Let v = -1934\/3 - -646. Sort v, i, 3, -1 in increasing order.\nAnswer: -1, v, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/9 (c) 257\/2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let y = -0.02946 + -0.03054. What is the third smallest value in y, w, -5\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114505613 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2516 = -3*d + 5152. Is 29 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41709 (b) 4\/7 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6*q = 4*g + 10893, 4*q - 3*g = 43624. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 7*h + 5. Let n(j) = -2*j + 2 + 2*j - h*j**2. Let u(q) be the first derivative of q**3\/3 + 21. What is n(u(d))?\nAnswer: -5*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1838, -1831, -1812, -1775, -1714, -1623?\n\"Answer: w**3 - 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 291*o - 76?\nAnswer: 291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*h - 3 = 7*h, 2*h = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -5*c**2\/2 + 9*c + 2. Is q(-7) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*u**2\/2 + 14595*u\/4 + 365.\nAnswer: -5*(u - 292)*(10*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8205 + 2445 = -4*v, 3*q + 5760 = 4*v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*i = -139, -4*i + 2*i = 3*q + 332. Let t be (-20)\/15*q\/4. Let o = 59 - t. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**24\/q)**(4\/17)\/((q**(-18)*q)\/q*q**(-10)))**(-33) assuming q is positive.\nAnswer: q**(-18744\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 + 12 = 0. Let x be 436\/2 - (-3)\/u. Is 10 a factor of 32\/1*(x\/20 - 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*n + 8, 2*n + 4 = -l - 0*l. Suppose 8*d - 4*d + 4 = n. Is 1.6 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1729 - 961. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1116818.839 to the nearest ten.\nAnswer: 1116820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -283*g**3 - 12*g**2 + 2400504 wrt g.\nAnswer: -849*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002366061 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/121)\/(3\/(-3))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 337\/10 - 67\/2. Let f = g + 1\/20. Let y be (-9)\/(-30)*20\/(-8). Does y = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7367 = -u - 5*q + 16103, 0 = -3*u - 4*q + 70333. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) 0.2 (c) 500\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/(-338)*(-2)\/3*252\/(-20)?\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121617540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/63 (b) -0.3 (c) -1\/10 (d) -10 (e) -2 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 18*v - 10*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 4 (c) 5 (d) -3\/5 (e) -308 (f) -2\/7 (g) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 281*w - 12087. What is h(228)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u + 9*u**4 + 4 + 125*u**3 - 248*u**3 + 17*u**4 + 127*u**3 + 2*u as b*u**2 + w*u + s + f*u**4 + m*u**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + -0.23. Let p = -0.35638 - -0.01368. Let d = p - q. Round d to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 0)*(-38)\/(-4). Let m = q + -27. Suppose 5*d + 5*n - 190 = 0, -m = -2*d + d + n. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.535 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 591927b (base 12) in base 16?\nAnswer: 1068b3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:10 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 2. Let w be o(0). Suppose 1916 + 3484 = 18*f. Suppose -w*g + 410 = 4*t, -5*t + f = -2*t + 3*g. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-144)*8*(-4)\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)\/p**(6\/7))\/((p**(-1)\/p)\/p)**(5\/9)*((p*p**(-2\/7)*p)\/p**(-2\/15))\/((p**(-2)*p)\/(p*p**3*p)) assuming p is positive.\nAnswer: p**(293\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 24*t - 907. Determine f(21).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 648122 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, 50, 3219 in descending order.\nAnswer: 3219, 50, 14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -35.021. Let x = 0.079 + o. What is the closest to x in 4, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/(735\/98)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 11:47 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 66 and -16.0958222?\nAnswer: 82.0958222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9065, 18190, 27317, 36446?\n\"Answer: s**2 + 9122*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 94.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 15. Suppose -40 = -d*w - 0*w. Calculate the remainder when 29 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2976 * 0.22\nAnswer: 654.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 6) in base 5?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/14 and (-813)\/126 - (-6)\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160641.9 rounded to the nearest 100?\nAnswer: 160600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25044 - 25050. Let a(p) = 0*p**3 - p**3 - 8*p + 7*p**2 - 3 + 2*p**3. Let d be a(b). Calculate the highest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 129*t**2\/2 - 86*t + 139. What is the derivative of q(p) wrt p?\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 3*w + 4. Let v be t(2). Solve 2*m = -v - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20196, -3, -10 in ascending order.\nAnswer: -10, -3, 20196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 29 = -79. Calculate the highest common divisor of y and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4, -1, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8652.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29001895 is divided by 644.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.787022199 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9312.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**2 + 2*h + 6. Let d(x) = 9*x**2 - x - 5. Let r(g) = -6*d(g) - 5*z(g). What is the second derivative of r(q) wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 - m**2 - 7*m**2)*(-453 - 146 - 4*m + 2*m) + 0*m + 0*m + 2*m**3 in the form r*m**2 + o*m**3 + g*m + s and give r.\nAnswer: 3594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 54, 0.044, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*b + 32, 8*g = 7*g + 3*b - 8. Suppose -18*s + 438 = g*t - 23*s, 5*t + 5*s - 525 = 0. What are the prime factors of t?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 67. Solve -2*u - 3 = i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x - i + 67, -2*x + 127 = -5*i. What is the remainder when x is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*t - 258*t - 187*t**3 + 133*t + (-1 + 1 + t)*(0*t**2 + 0*t**2 + 2*t**2) in the form g + n*t + f*t**2 + b*t**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = q - 40. Let r be 8\/q - 22\/18. What is the biggest value in -3\/5, r, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 124. Let t = n - 52. Which is the third smallest value? (a) t (b) -5 (c) 28 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000028793 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303 + 156 + 2257*k**3 - 754*k**3 - 743*k**3 + 147 - 762*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3\/11)*g)\/g*g)\/(g\/(g\/g**(-24)*g*g))*(g**28*g)\/g**(-13) assuming g is positive.\nAnswer: g**(767\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a + 3. Give h(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 110*a - 403. Let k be z(-4). Solve -27 = 9*c, 2*c = -3*d + 6*c + k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-3))\/(4\/30). Suppose 0 = -0*h - 3*h - 2*c + 74, -m = -5*c. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -56985, 0.02, -1?\nAnswer: -56985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/85*55*1. Suppose 7*n = 61 + v. Let u be (-1)\/(-1*1\/n). Do u and 15 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6 - (-574)\/21)*(-1440)\/4320?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-169*h + 5010 - 5010)*(-4 + 5 + 1)*(0 - 2 + 4)*(0*h**3 + h**3 + 0*h**3) in the form y*h**3 + u*h**4 + a*h + r*h**2 + q and give u.\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 14*t + 1. Suppose -2*u - 4 = -3*c, u = -u + 2*c - 2. Let m be s(u). Suppose -m = r - 2*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 303*h**5\/2 + 29985*h**4\/4 + 257259*h**3\/4 - 1453317*h**2\/2 + 667632*h - 12936 = 0.\nAnswer: -28, 2\/101, 1, 11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*h - u - 17, 22*u - 17*u + 38 = 4*h + 3*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 40920*t**2 + 2611486*t + 16276008.\nAnswer: 2*(t + 7)*(t + 57)*(t + 20396)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:32 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84201 and 48906?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25286502 and 1602?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 36 - (18 - -1 - (119 - 93))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.539, 2, 1\/6, 0.2, -2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 5.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 5.769490565\nAnswer: 5.269490565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -11*m**4 + 33*m**3 + 5*m**2 - 553*m - 784. Let v(f) = 5*f**4 - 17*f**3 - 3*f**2 + 277*f + 392. Let o(k) = -6*q(k) - 14*v(k). Solve o(a) = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:05 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39.15? (a) 0 (b) -19 (c) -4 (d) 0.586 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261 + 862?\nAnswer: 2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-24)\/(-10))\/((-63)\/(-770)))\/((-114)\/(-171)). Calculate the greatest common divisor of 649 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-34836)\/(-14))\/3)\/(324\/2268)?\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 23 = -8*x - 5*w, -2 = 5*x - 4*w. What is the third derivative of -4*n**5 - 11218*n**x + 0 + 0 + 11165*n**2 wrt n?\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -31*m - 38. Let s(p) = 16*p + 21. Let c(d) = -3*j(d) - 5*s(d). Let l(o) = o**2. Calculate c(l(r)).\nAnswer: 13*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-939)\/(-9) - 7\/((-42)\/4). What is the greatest common factor of g and 504?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11430211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 5. Let a(f) be the first derivative of -f**2\/2 + 2*f - 14. Calculate -5*a(v) - 2*g(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6845652 and 51568?\nAnswer: 27382608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.51 - -0.11. Which is the closest to -2\/5? (a) d (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86382 = -336*v + 30882. Solve -5*h + 353*m = v*m, 3*h = m - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5104*i - 4 + 4 + 5029*i as z + b*i and give b.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 822*k**3 - 8*k**2 + 30*k - 75. What are the prime factors of r(3)?\nAnswer: 3, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/5 + 88*t**2\/5 + 160*t + 1664\/5 = 0. Calculate t.\nAnswer: -4, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -579*f + 6297 - 1351*f + 1256*f - 1256*f - 1150*f wrt f?\nAnswer: -3080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*z = 22, 4 = z + 2. Suppose a + 4*t - 33 = 0, 4*a = -u*t + 10*t + 52. What is the remainder when 18 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + 5*l, 5*w - 42 = 2*l. Let g be (-2)\/w + (-275)\/(-44). Suppose t = 3*r - 4, t + 1 = 4*r - g. Solve -2*i - 11 = s, -32 + 9 = 2*i + t*s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10\/11)\/i)\/i**(-2\/31))\/(i**14*i**(2\/31)) assuming i is positive.\nAnswer: i**(-175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 2*d**2 - d - 1. Let a be v(-2). Suppose -a = -14*r + 15*r. Sort r, -17, 0, 2 in ascending order.\nAnswer: -17, r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert adea0c (base 15) to base 6.\nAnswer: 453532203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - -6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/((-231)\/44))\/(-1*1\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1 - 12*r**2 + 3*r + 8*r**2 + 0 - r. Let u be b(-1). Which is bigger: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*b + 38*b + 407 + 30*b.\nAnswer: 6*b + 407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 118*z**3 + 3*z**2 + 12*z + 15. Let q(r) = -355*r**3 - 9*r**2 - 34*r - 46. Let l(x) = 17*a(x) + 6*q(x). Find the third derivative of l(m) wrt m.\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265 - 23*f**3 - 265.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/33 + 365\/1100)*(-31)\/(1612\/1170).\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2646 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 + 2)*(0 + 4 - 2) - 2 - 2 + 6)*((-4 + 1 + 1)*(-1 + 1 + y) - 4*y + 2*y + y + (-3*y + 5*y + 0*y)*(-9 + 6 + 9)).\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4, 2, 0.5, -1, -8, -1696?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*w + 63, 4*w = 3*w + 4. Let s = t + 54. Solve 4*r + 11 - s = -k, 2*k + 2*r - 2 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 54*n = 0. Let d(m) be the third derivative of n - m**3 - 1\/40*m**6 - 1\/5*m**5 + 0*m - 5\/8*m**4 - 2*m**2. Factor d(i).\nAnswer: -3*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6800 and 876860.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 2:06 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 2. Let u(d) = 3 + 0 - d - 5 + 7. Give u(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 3*i + 22.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54 + 1 - (-4 - 0)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/20)\/((-3)\/13). Does 3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83007\/4676 - -2\/1169. Suppose 3*y = -3*r + 6*y - 14703, 4889 = -r - 3*y. Let w = r - -39135\/8. What is the common denominator of w and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -d96c87?\nAnswer: -d96c8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5051 and 11.\nAnswer: 55561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1*y**(2\/25) assuming y is positive.\nAnswer: y**(27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0 + 1\/8*p**4 + 7\/12*p**3 - 2*p - 3\/2*p**2. Let k(v) = 0. What is v?\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.077 - -6.082997. What is z rounded to four decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -638, -629, -608, -569, -506, -413?\n\"Answer: x**3 + 2*x - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2029427042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 + 42 = -17*s + 55 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 11*k**2 + 15*k + 15. Let h be f(-9). Suppose 3*u = 4*i + 34, 2*u + 3*i = h + 9. Calculate the highest common divisor of 180 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 1108*w = 1111*w + 51, -64 = 3*u + 4*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092.09825 rounded to the nearest integer?\nAnswer: -1092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*z**4 - 253*n**2*z**2 + n**2*z - 3*n*z**6 - 3*n*z**2 - 2360*z**3 wrt z.\nAnswer: 24*n**2*z - 360*n*z**3 - 14160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004151456 to 6 dps.\nAnswer: -0.000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 1. Let x be a(1). Let w = 545\/1368 + -4\/171. What is the nearest to 2\/3 in x, -1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*3\/27)\/(24\/(-36))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a millisecond in nanoseconds?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 5 = -43. Let t be ((-1760)\/n)\/(14\/(-105)) + 0. Round t to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(637) + -1 - sqrt(637) - (sqrt(637) + 3 + (sqrt(637) - (sqrt(637) - (sqrt(637) + -1 + sqrt(637)) - sqrt(637)))))**2*-3 + -3.\nAnswer: 336*sqrt(13) + 61155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -1 + (-113 - (-73 + -30)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r**(-5\/8)*r)\/r*r*(r**(-1\/7)\/r)\/r assuming r is positive.\nAnswer: r**(-43\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-8) + 3 + 350\/(-112). Sort 8\/5, t, 62, -2\/3 in descending order.\nAnswer: 62, 8\/5, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1049*p - 14676. Let y be q(14). Let u = -10 - -19. Solve -y*h = -7*h - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29282 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 40 + -3 + -44 + -131.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppmpcwcoypoppypypwc. What is prob of sequence cy?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 28*w - 2*l = 7394, 3*l = 2*w - 4941. What is the remainder when w is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3120 and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 21 = -2*i, 0 = b - 3*i + 3 - 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r + 195. Is 8 a factor of a(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/23040 and 131\/10800?\nAnswer: 345600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2*f + 8 = 0, 3397*g = 3395*g + 3*f + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 6*p**2 - 2*p - 10. Let y be z(-6). What is the common denominator of (y\/(-4))\/((-5)\/29) and 69\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Suppose -a*t - t + 20 = 0. Does 16 divide -3 - (1 + -4*t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*x = -700*x - 5017 - 1483 for x.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -8) + 0 + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -7. Suppose 4*h - 9*h - 3*n = -56, -5*h - n + 52 = 0. List the prime factors of 86\/h - t\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655905 is divided by 1844.\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 29 = -4*a. Suppose 2*b = b + a. Suppose w = -3*n + 6*n - 12, -5*n = -2*w - b. Solve 0 = -n*z + 3*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0)*6\/12. Which is the nearest to 0.1? (a) -5 (b) j (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 207550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13064 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -28, 2, 3, 21, -2 in descending order.\nAnswer: 21, 9, 3, 2, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 + -131. What is the nearest to 0 in w, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 428426 times -0.207\nAnswer: -88684.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 14*t - 1. What is z(10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29.14? (a) -4 (b) 2\/7 (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:55 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s - 14*s + 21*s.\nAnswer: 37*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**3\/3 + p**2\/2 - 4. Let v be o(1). Does -1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppopeeopoeeeovoo. Give prob of picking 1 o and 2 p.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**23)**(-41) assuming v is positive.\nAnswer: v**(-943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h. Let d(b) be the first derivative of 15 + 11*b + 0*b**2 + 13\/6*b**3. Let q(j) be the first derivative of d(j). Determine y(q(l)).\nAnswer: -65*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620008.\nAnswer: 2, 19, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*u**2 + 17*u**2 + 307*u**2 + 17 to p*u**2 + m*u + q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.06338 * 4.18\nAnswer: 0.2649284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-2))\/((-3)\/18). Let a be (y\/(-18))\/(6\/8). Solve 0 = 2*c - j - 5, -3*c - a*j - 3 = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2181.7 + 2182. Which is the third smallest value? (a) 0.48 (b) k (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5002.162 micrometers in millimeters?\nAnswer: 5.002162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 60. What is f(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -90.6. What is the biggest value in r, -5, -0.2, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 2*x**2 + 12*x + 47. Let b be n(-4). Calculate the highest common divisor of 496 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*a**5 - 3*a**4*t**2 + 3*a**2 + 3*t**2 - 8 wrt a.\nAnswer: 3120*a**2 - 72*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -969, -966, -963, -960, -957, -954?\n\"Answer: 3*d - 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202033 - -2?\nAnswer: -202031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9955 and 14930509.\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12.31 + 8215495\nAnswer: 8215507.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1258234 + 3752982 = -4*v. Let x = v + 203322453\/326. Let i = x + -1\/163. Which is the fourth smallest value? (a) i (b) 3\/10 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002094212 to seven dps.\nAnswer: 0.0000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175*s**4 - 2*s**5 + 3*s**5 + 55*s**4 + s**2)*(3 - 1 + 0).\nAnswer: 2*s**5 + 460*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26822062?\nAnswer: 2, 257, 52183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116*y**3 + 1940*y**3 - 560 - 507 - 2*y**2 - 277*y**3 - 810 wrt y?\nAnswer: 4641*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 14*w**2 + 16*w + 14. Let n be v(-15). List the prime factors of 6*10\/(-15)*n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 21*f**2 + 46*f + 7. Let m be g(-23). Solve t - m*t = -18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 236 = -4*z, -3*z + 6*i - 2*i - 190 = 0. List the prime factors of z*((-21)\/(-6) - 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 15 = -3*b. Suppose -4*p + 3*x = -3, 5*p - 5*x + b = 4*p. Solve p = z - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 + 108 - 162 = 17*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**3\/3 - 9*j**2\/2 - 8*j. Let b be n(6). Let a(d) = d**3 - 5*d**2 + 2*d. Give a(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p + 2*p**2 + 3*p**2 + 9 - 4*p**2. Let x = 14 - 20. Let i be b(x). Solve -12 = 3*u - g, -u = -i*g - g + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-13.07\nAnswer: 3.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*l + 3*l + 28, 3*x = 2*l + 17. Suppose 0*z = 4*z - w + 7, -2*z + 13 = x*w. Put z, 0, -8 in descending order.\nAnswer: 0, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -198*l + 105*l + 95*l + 1. Suppose -4 = -3*z + 2. Calculate f(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*2\/6*(-8 + 11). Find the second derivative of -4*z - z**m - 9*z**2 + 168 - 168 wrt z.\nAnswer: -6*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 10:08 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4013 - 22948 - 18940 = 1378*p + 57207 for p.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p + 4499 - 4499 + 46*p.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74 and 82.\nAnswer: -6068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 + 669*n**2 + 193955*n\/6 - 218075.\nAnswer: (n - 6)*(n + 55)*(n + 3965)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 13*a = -30. Let p be (-2)\/24 + 4\/16. Sort a, -4, p in descending order.\nAnswer: p, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5694 and 1971?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 30*u**2 + 134*u - 667. Let x be f(3). Find t, given that 11\/3*t**3 + 0*t + 2*t**4 + 1\/3*t**x + 2*t**2 + 0 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(-6*s + 3*s - 3*s)*(3 - 6 + 2)*(-s + 7*s + 4*s) as n + k*s + d*s**2 and give d.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*l - 4*f, 23*l - 18*l - 29 = 2*f. Put -4, l, 1, 0, -3 in ascending order.\nAnswer: -4, -3, 0, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 15\/(-6))*-2. Put 0.2, 5, h in descending order.\nAnswer: 5, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (-6 - 1 - (248 + -239)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3911 divided by 772.\nAnswer: 3911\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -a - 35, 3*q = 5*a + 849 - 793 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 10. Let i be z(-7). Find the third derivative of 4*l + 6*l**2 - 4*l + 3*l**i wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/11 + (-72)\/88)*-28. Solve -103*m = -110*m - r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 14, -20, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 12 = -6*b + 2*b, -2*y + 3*b = -2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*c, c + 10 = -3*r - 11 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 6*b + 37. Calculate v(12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdd when three letters picked without replacement from fdhdffdhhdffhcdddzdd.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29715 - -64789. Suppose -10*j = 28*j - w. Does 80 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -5*w - 3. Let a be (w - (0 + 0))*-3. Let g(s) = s**2 + 7*s - 1. Calculate g(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 8941930*l + 330858255.\nAnswer: -5*(l - 1788423)*(l + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*((((sqrt(288)*-2)\/sqrt(9) - sqrt(32)) + sqrt(4608) + (sqrt(4608) - (-1 + sqrt(4608))))**2 - (1 + sqrt(288) + (-1*sqrt(192) + sqrt(192))\/sqrt(6))).\nAnswer: 540*sqrt(2) + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 24*u**2. Let l(b) = -41*b**2. Determine h(l(s)).\nAnswer: 40344*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1284)\/50)\/(-3))\/(57004\/712550).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 157. What is the third derivative of 52 + 0*y**2 - y**2 + 30*y**3 - s wrt y?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 6) to base 10.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (-5 + sqrt(48)*2)*2.\nAnswer: -7 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -645199*v**6 + 380*v**3 - 11*v**2 + v + 5058594.\nAnswer: -77423880*v**3 + 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3735077.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(5) + -2).\nAnswer: -24 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133085 or -133079?\nAnswer: -133085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 1:54 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 9, 1\/2, -2, -6\/31, -46 in ascending order.\nAnswer: -46, -38, -2, -6\/31, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6308 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 7*v - 10. Let b be n(4). Let w = 39 + b. Calculate the remainder when 74 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 360*b + 248*b - 61*b - 2*b**2 to y*b + k*b**2 + c and give y.\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, -7, -0.1, -17, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3587*v**4 - 3*v - 240.\nAnswer: -43044*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000054562 to 7 decimal places.\nAnswer: 0.0000546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 1753*g**2 - 15051*g + 5346. What is b(885)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51494845771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650235 = o + 1978279. Let z = -338054 - o. Suppose 3*i + 10*b - 5*b = z, -2*i + 5*b = -660010. Round i to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*g + 7*g. Let o(c) = -3*c. Let s be o(g). Suppose -3*t = -3*t + s*t. Solve 0 = -2*a - t + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*c**5 + 4221*c**4 - 682845*c**3 - 21500325*c**2 + 57952875*c = 0. Calculate c.\nAnswer: -29, 0, 5\/2, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 394.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65345159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 3*h**2 + 2*h. Let n be q(2). Let z = -24 + 23.89. Let x = z - -0.01. What is the closest to n in -1, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 30*o - 6. Let u(n) = 2*n. Let f(t) = 6*u(t) - y(t). What is f(7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m - 7 + 1\/2*m**2. Suppose 2*x = j - 6, -5*x - 5*j - 46 + 16 = 0. Give f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 997.23 + -1034. Let i = 907 - 944. Let a = i - s. Round a to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 2*r**3 + 3*r**4 - 1 - 12*r**3 - 1 + 13*r**3 in the form d*r**4 + m*r + z + g*r**2 + u*r**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1210 and 305?\nAnswer: 73810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 76 and -156201973?\nAnswer: 156202049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6*d + 36572 = 0, 2*r = -34*d + 38*d + 36642. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**2 - 2*v + 1. Let a be k(3). Suppose -4*g = -5*z + 465, -3*z + a = -4*g - 230. Suppose 2*t = -15 + z. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 33*o**2 + 61*o + 60. Give x(31).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -266 + -3?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20409\/8 or -2552?\nAnswer: -20409\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1240415834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 111111000100?\nAnswer: 111110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-36))\/((-3)\/(3\/(-1)))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 1:10 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4*f + 36, -4*f = 2*y - 111 + 99 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 15*q - 11. Let j be z(-14). Suppose -l + 4*l = s - 7, 0 = 3*s - j*l - 21. What is the remainder when 41 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s - 198 = 75*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6899*w**3 - 55*w**2 - 5*w + 2241. Let f(m) = -m**3 + 11*m**2 + m + 2. Let g(c) = -b(c) - 5*f(c). What is the derivative of g(l) wrt l?\nAnswer: 20712*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(24))\/sqrt(2)*-1.\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/2 - (1 - 255). Let d be (-14 - -4)*(-1)\/2. Suppose 0 = -d*t - 47 + q. Solve -5*a + 16 - t = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-4\/9)))\/(q**(-2)\/q))\/(q**(-2\/9)*q**(-5)) assuming q is positive.\nAnswer: q**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 4*n - 13, -f + 197 = -3*n + 210 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (6 + -4 + 6)) + -19.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubs when three letters picked without replacement from {u: 2, z: 2, n: 5, b: 1, r: 2, s: 5}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -205.9 and -5?\nAnswer: 1029.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228207 and 28?\nAnswer: 912828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -33. Let b = c - -34. Solve -3*l = -4*s - 8, 0 + b = 2*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4406, 4465, 4522, 4577?\n\"Answer: -l**2 + 62*l + 4345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2275.25 rounded to the nearest 10?\nAnswer: -2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1402, -1430, -1472, -1534, -1622, -1742, -1900?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 375.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 = -4. Suppose -y + 10 = -3*y, 0 = 4*z - t*y - 77. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/24 + (-6)\/(-24). Let t = 0.6 - 1. Let k(w) = w**3 + 3*w**2. Let i be k(-3). Put o, i, t in increasing order.\nAnswer: t, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21915304?\nAnswer: 2, 211, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m. Let l(a) = 16*a**2 - 8*a - 42. Determine l(b(v)).\nAnswer: 784*v**2 + 56*v - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + 2.5. Let z = 67.2 + 10.8. Let s = z + -77.8. Which is the second smallest value? (a) s (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139 + -137. Solve c - 5 = -u*b + 1, 5*b = -c + 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from btb.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 49 + 14\/(-56)*104\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1309777?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 10*v - 2. Let w be y(10). What is the units digit of (116\/6)\/(w\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29326981*c**2 - 2*c + 99180197 wrt c.\nAnswer: -58653962*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n + 1. Let o be u(-1). Let y be ((-20)\/(-35))\/(2\/o). Suppose 130 = -y*q + 7*q. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2887*y + 5 = q + 2888*y, -2*q + 2*y + 30 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 534*r - 581*r + 1510 + 6288, r + 0*r + 0*r = 5*p + 42 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 + 4*d - 83. Is 3 a factor of k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*f - 5*j, 3 = -0*f + 2*f + j. Which is the closest to 1? (a) 5 (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121440421 + 0?\nAnswer: -121440421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 1. Let y be (-3 - 2)*d\/(-70). Determine o so that 0*o + 6\/7*o**3 + 0 + y*o**2 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28693 + 28693 + 2482*y + (-4 - 2*y + 2 + 3)*(1 + 4 - 3 + (3 + 2 - 3)*(-3 + 1 + 0)).\nAnswer: 2486*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((13 - 11) + -3 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283*i*o**3 - 7293*i*o**2 + i*o - 18020*i - 2*o - 7 wrt o?\nAnswer: -1698*i*o - 14586*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-370*h + 1061*h - 374*h + 2*h - 2*h - 2*h + (-4 - 1 + 3)*(3*h + h - 2*h) + 2*h + 0*h - 4*h)*(-9 - 8 - 8) to z + g*h and give g.\nAnswer: -7725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31172, 124917, 281152, 499871, 781068, 1124737, 1530872?\nAnswer: 1999467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i**2 + 39610*i + 17608 = 0.\nAnswer: -4\/9, 2201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 4*l**2 - 6*l + 7. List the prime factors of r(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -46. Suppose 0 = -3*u + 7*u - 1424. Suppose -2*x + g + 140 = -0*g, 4*g = 5*x - u. What is the remainder when x is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1282, 1279, 1274, 1267?\n\"Answer: -t**2 + 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 101, 4 in descending order.\nAnswer: 101, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 223 - 135*y + 2486*y - 223 in the form m*y + i and give m.\nAnswer: 2351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/(189\/24)*3. Let r = 36\/11 - 83\/22. What is the nearest to r in 0.2, 7, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51076 divided by 12769.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202822, 404775, 606728?\nAnswer: 808681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 + -194.8. Which is the second biggest value? (a) -56 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1873 = 5*k - 753. Let r = k - -243. Solve j = y - 5, 3*y + r = 2*y - 5*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**3\/5 - 6054868*f**2\/5 + 8476776*f = 0.\nAnswer: 0, 7, 1513710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -5462?\nAnswer: 545d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22911202 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*m - h, 2*m + 270*h - 133*h - 4 = 134*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 760 times -12.9\nAnswer: -9804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3367812286.\nAnswer: 2, 31, 3793, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, 2\/3, -0.242?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 5*g + g + 2*g - 5*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4 = 4*d, 3*s + d - 52 = -74 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v - 7. Let q(t) = -76*t - 29. Let j(x) = -18*n(x) + 4*q(x). Let g(o) = -5*o**2. What is j(g(p))?\nAnswer: -10*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let k(s) = -s**2 + 15*s - 10. Let t be k(14). Is (-1170)\/(-4) - q\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(135)*6)\/(sqrt(300)*4 + (sqrt(15)*1)\/sqrt(5)).\nAnswer: -180*sqrt(5)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*-6)\/(sqrt(36)\/sqrt(108)) + 2*(-4 + -4 + sqrt(6)\/sqrt(2) + sqrt(3) + 2).\nAnswer: -140*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iius when four letters picked without replacement from {u: 3, i: 2, l: 3, s: 8, z: 3}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from jqjjjcq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*s = -2*s + 22, -4*x + 74 = 2*s. Suppose -x*k + 690 = -12*k. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.843737 + 462?\nAnswer: 720.843737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/7*(2 + -9). Suppose 1\/7*m**x - 5\/7*m**2 - 1\/7*m**3 + 0 - 3\/7*m = 0. Calculate m.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 14 = -91 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.823 to one decimal place.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 346151.7 to the nearest one hundred.\nAnswer: 346200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 509 + -437. Solve -2*a**3 + 65*a**2 - 11*a**2 - 24*a**4 + 156*a + 26*a**2 - 4*a**5 - 3*a**3 - 19*a**3 + w = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-747683.\nAnswer: -373841.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 416\/72 + 4\/18. Suppose 0 = 4*h + 4*k, 0*k - o = -4*h - k. Suppose 14 = h*x - 16. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -891286.29 rounded to the nearest one thousand?\nAnswer: -891000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*b + 2344 + 707 + 3501 = -223*b for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + 100 + -50 + -100.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = -4*m. Suppose 0 = 5*j - m*a + 3*a - 11, a + 7 = 4*j. Sort -1, -3, j in increasing order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4 + 2*h + h - 2*h. Let c = -5 - -1. Let p(f) be the second derivative of f**3\/6 + 3*f**2\/2 - f. Give c*p(i) + 3*a(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, 38, 43?\n\"Answer: 5*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/70*-4)\/(20\/35).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*b = -25, -25 = 5*o + 7*b - 2*b. Let t(x) = x**2 - 5*x + 6. Let w be t(o). What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 s when three letters picked without replacement from pxkkxkkksikkpx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 4*c**2 - 13*c + 7. Let v be t(7). What is the highest common divisor of 637 and v?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -351995*v + 24991649. Give b(71).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) + (-2456)\/(-5940). Let u = w - -178\/1485. Which is the second biggest value? (a) 1 (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 7*f**2 - 6*f + 8. Suppose -j - 13 = -2*t, 0 = -3*j - 2*j - 2*t - 17. Let b = 11 + j. List the prime factors of v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*u - 5*i, -14 + 5 = 3*i. Suppose 5*x - 16 = h, u*h + x - 20 = 2*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p + 11. Suppose 215 + 136 = 86*x + 112*x - 441. Solve h + 2*h = -3*k + p, 2*h = -x*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-4)\/(-32)*-10*(-4)\/(-70)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 - 5*x - 1. Let u be m(-4). Let f = u - 47. Let q = 16 + 2. Calculate the lowest common multiple of f and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/587 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 - v. Suppose 0*a + 22 = -3*n - 4*a, 5*n + 6 = a. Let y = n + 3. Let s be h(y). Is 2 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1791 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 + 120. Suppose -y*i + 62*i = 66. Calculate the remainder when 40 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-12)*-3)\/(42 - 35). Sort 7\/5, -5, -4, -0.8, f in increasing order.\nAnswer: -5, -4, -0.8, f, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-7 - -10) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13862.0235 - -13863. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 1079455636.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29549802 is divided by 329.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*1\/4*2. Let w(m) = -m - 1 - m**3 - 5*m**2 + 13*m**2 - l*m**2 - 5*m**2. Let a(j) = -2*j**3 - 5*j**2 - 3*j - 3. Calculate 2*a(o) - 5*w(o).\nAnswer: o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 11:24 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-374)\/(-102))\/((4 - 23\/6)*2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**0*u**(-22) assuming u is positive.\nAnswer: u**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 11 - -1261) + (-8)\/(-2). What is the greatest common divisor of c and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -12*d - 33. Let f be c(-3). Suppose 5*q + l = 244, -13 = q + 3*l - 73. Find the common denominator of f\/(-18) + 332\/q and 47\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 208*u - 28371192 - 14304376. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, z: 3, y: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 538253.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 834976714 a multiple of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3588990 rounded to the nearest 10000?\nAnswer: -3590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(432) - sqrt(243)*1)\/(-6*sqrt(1296)*2*-3).\nAnswer: -7*sqrt(3)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*(-30)\/36?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1860*l**3 - 983*l.\nAnswer: -11160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/(-270)*(-60)\/(-50). Let p(l) = -l**3 + 4*l**2 - 3*l + 3. Let j be p(3). Which is the closest to j? (a) i (b) -0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 2*z**2 + 4*z - 2. Let w be l(3). Let q(h) be the first derivative of w + 1\/2*h**4 - 2\/3*h**3 - h**2 + 2*h. Factor q(p).\nAnswer: 2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 9, t + 349 = -3*k + 354 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275585.\nAnswer: 5, 55117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3651583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8582 - -12507. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1\/599?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.6. Let y = -11 + 10.79. Let q = y - -0.21. Sort 0.3, q, t in descending order.\nAnswer: 0.3, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 14*n**2 + 15*n. Let q be 2 + -19 + (-4 - -6). Let k be a(q). Solve 2*r + 3*y - 16 = k, 3*r + 6 = 2*y + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10150756703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132099, -132097, -132095, -132093?\nAnswer: -132091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -969 + 973. Let x = 5.5 + -0.5. What is the smallest value in x, 2\/5, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 109388\/10701 - (9 + (-1 - -2)). What is the fifth smallest value in -6\/5, 1\/4, 1\/15, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2654851 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 7. Let o(i) = 5 - 98439*i**3 - 5 + 4*i**2 - 10*i**2. Let j be o(z). What is j rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/15 + g**4\/24 - 2*g**2. Let b = -147 - -148. Let a be (-6 - (3 + (-2 - 4))) + b. Give y(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 129 = -5*n - 2*t, 0 = n - 4*t - 21. Suppose 4*k - 101 + n = 0. Suppose -k = -3*h + 32. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -991, -1, 3 in decreasing order.\nAnswer: 3, -1, -4, -991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-88)*397 - -3) + -3. Let h = 44271\/418 - k. Let m = -1523\/171 + h. Find the common denominator of m and -59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 67*q - 209. Calculate the remainder when p(-19) is divided by 127.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305349 by -11.\nAnswer: -27759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1193576 and 0.\nAnswer: -1193576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 1 = -f, 0 = 2*g - 4*f - 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*-13*(-13)\/507.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142265, 144625, 146985, 149345?\nAnswer: 151705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbobbbpbpbp. What is prob of picking 3 p and 1 b?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3938303 and 0.8?\nAnswer: 0.31506424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 1. Suppose 2*x = -s + 7, -9 = -2*f - x. Calculate the remainder when f is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/6)*(t\/(t\/(t\/(t\/t**(-2\/7)))*t))\/t)\/(t**(-5)\/t**(-6)) assuming t is positive.\nAnswer: t**(-145\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 7)*(-39)\/6. Let v = 15 + l. Suppose -v*b = -7*b + 5. Solve -4*x + 8 - b = 5*m, -5*x - 19 = -3*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**6 + 558*s**5 - 104*s**2 wrt s.\nAnswer: 240*s**3 + 33480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 35 = 3*k + 3*g, 0 = 3*k - 5*g + 85. Let z = k - -32. Suppose 2*v - 6*m = -m - 10, 2*v = m - 2. Solve -2*w = -5*d - v*d - 28, -d = 4*w - z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 8*r - 8. Let x be n(7). Let s be 100\/50 + x\/(1 + -2). Let g(h) = 4*h + 1. Determine g(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/204)\/((-14)\/252*195).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 16 - 6. Suppose -3*f + 4 = -h. Solve -f = 2*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2311837 is divided by 468?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -153.69 * 0.1\nAnswer: -15.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 41 - 4524*k**3 - 85.\nAnswer: -4524*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1748682 and 107\/7332?\nAnswer: 3497364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + 26*j - 11*j - 17*j + 2*j**2 to m*j + t*j**3 + d*j**2 + y + c*j**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1856907 and 8?\nAnswer: 14855256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 4:39 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - 148\/(-28). Suppose -5*p + 0*p - 12 = -k, 3*p = -h*k + 32. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 7*y**2 - 9*y - 12. Determine t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, g: 1, z: 1, u: 1}. What is prob of sequence wd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -33, -140, -353, -708, -1241, -1988?\nAnswer: -2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.98 and -0.2.\nAnswer: 0.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63994289*i**4 + 63717204*i?\nAnswer: 767931468*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 13 + 26 + 115*i.\nAnswer: 115*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11628 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*(-1620)\/(-225)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 14*v - 91. Find the third derivative of -2*c**4 - 331*c**2 + 340*c**2 - 2*c**3 + 19*c**v + 2*c**4 wrt c.\nAnswer: 2280*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = r + 134 - 122 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2 = -14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 156*a + 4892. Give u(53).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134934 divided by -2.\nAnswer: 67467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(4\/18) + 2. Let u be ((-6)\/(-4) - 3)\/((-4)\/200). Let w = u - t. What are the prime factors of w?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 - 16 = 0. Solve 0 = -0*u + 3*u + r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/((-21)\/9))\/(3\/2). Suppose 5*u = -y*h + 217, -h + 58 = -5*u - 13. Suppose -h = -23*z + 19*z. What is the greatest common factor of z and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 - -69. Let g be (-2202)\/(-54) - (-2)\/9. Let j = b + g. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/8*12\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.3 - 5. Let m = -0.6 + 0.2. What is the closest to 0.1 in m, g, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 7:32 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 + 158 = 244*p + 126 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 938\/25 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5 - 496765*z**4 - 496755*z**3 + 496765*z**2 + 496760*z = 0 for z.\nAnswer: -99352, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123727326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-4)\/(-48)*-3). Let d(f) = 17*f - 20. What is the remainder when d(w) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9599 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/(15\/9 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.59 - -0.89. Let d be 39\/312 + -1*(-24)\/64. Which is the smallest value? (a) -0.3 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5\/3 - 43*m**4 + 3211*m**3\/3 + 21023*m**2 + 107920*m\/3 - 322624 = 0?\nAnswer: -8, 3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -373 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 1 - (1 + 7 + (40 - 51)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-54)\/564)\/(((-7)\/(-16))\/7). Let o = 536\/141 - l. Let -28\/3*w**5 + 32\/3*w**2 + 0 + 28*w**3 + 8\/3*w**4 - o*w = 0. What is w?\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*z + 31*z - 203*z - 169*z + 71*z as x + l*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15550566 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-2))\/(3\/(-6)). Suppose 5*n = 3*b + 15, h*b + 6 + 0 = 2*n. Factor 2*k**n + 3*k + k - 3*k - k**3 - 2*k**2.\nAnswer: k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**2 - 25*j - 27*j - 6*j**2 - 9*j**3 + 50*j in the form v + m*j**3 + g*j + n*j**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, 2\/9, 32, -1617, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**5*x)\/x)\/(x*x\/(x*x**(2\/13))))\/(x**(-4\/3)\/(x\/((x*(x*x**(-3\/2))\/x*x)\/x))) assuming x is positive.\nAnswer: x**(545\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110101100100110000 (base 2) in base 12?\nAnswer: -725268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 2*y + 4*y. Calculate the remainder when 104 is divided by y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/21)\/(672\/196)*210?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51828*r - 25 = -51823*r, 0 = -7*k + 5*r + 53 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 869*j - 286763. Calculate w(330).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(80) - (sqrt(80) - (sqrt(80) + 1))) + -1 + 3*2*sqrt(80))*-2*-2 + -3)**2.\nAnswer: -2464*sqrt(5) + 62841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -116.249219 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f. Let m be -3*1 + 12 + -7. Let x be n(m). Suppose -5*u + 49 = -x. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/10)\/(87\/(-145))*(-20)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 31*q - 17*q - 14*q + 19.\nAnswer: -3*q**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13935287*p**4 - 54261649 wrt p?\nAnswer: -55741148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)\/sqrt(2)))\/(sqrt(8)\/sqrt(4)*-6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.3 + 1.3. Let n = x + 9. Let z = 38 + -191\/5. What is the biggest value in z, n, -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 - ((13 - 8) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-3)\/(-2 - -5). Is k not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2360877 is divided by 590195.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 936 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -132. Let p = 3 - 4. Let i be 2 - (p - 15\/(-6)). What is the smallest value in -2, r, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + (21 - 18) + 2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-7)\/(-6)) + (-4)\/12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 201201212?\nAnswer: 201201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(2\/17 + (-1624)\/(-2958)). Suppose 3 = 2*f + 1. Is (4501 - 20\/5)*f\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (209*i**2 - 161*i**2 - 113*i**2 - 117*i**2)*(i**2 + 2*i**3 - i**2).\nAnswer: -364*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, -4, 0.07, 0.27, 306 in decreasing order.\nAnswer: 306, 0.5, 0.27, 0.07, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, u: 3, g: 1, l: 1, c: 1}. Give prob of sequence lu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1689228, -3378362, -5067496, -6756630?\n\"Answer: -1689134*n - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 13) to base 3\nAnswer: 111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.8755343*0.6.\nAnswer: 6.52532058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10235 < 71653\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3622 = y, -2*y + 7274 = -6*g + 8*g. Suppose 4*o = -0*o + y. What are the prime factors of o?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6 + -4. Let m = 0.513 + 0.097. Let p = g - m. Round p to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:43 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 - 190. Suppose -10825 = 2*o + 5*h, -3*o + s*o = -5*h + 5375. Round o to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**3 + 2*q**2 - 3*q + 2. Let p be m(1). What is the highest common divisor of 12 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10408*q. Let z(t) = 26*t. What is z(k(v))?\nAnswer: 270608*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1189a5 (base 14) to base 12.\nAnswer: 24b345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**5\/20 + m**4\/2 - m**3 + 3*m**2 + m. Let j = 1816 + -1811. What is the units digit of u(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/50548 and -0.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1308 - -670. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 38*o + 13. Let l be b(8). Let g = l - 160. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 47 = 2*x - 51, -3*x = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 12:29 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*h, -5*n + 3*h + h = 20. Suppose n*b = 3*b - 117. Let s = b + -15. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-588)\/(-182)) + (-6)\/(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 1\/120*p**6 + 0*p + 1\/8*p**4 - 3*p**2 + 1\/3*p**3 + 0 + 1\/12*p**5. Let a be 0\/(0 - 2) + -4. Give s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 8*w - 115 = -5*t, t - 38*w + 33*w = -3*t - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185\/4 - -46. Let c = 1.0893 - 1.156. Let m = -5.0667 - c. Sort x, m, -8\/3 in decreasing order.\nAnswer: x, -8\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2, 3\/32, 2, -1.3, 0.1 in decreasing order.\nAnswer: 2, 0.1, 3\/32, -1\/2, -1.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 94. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21210)\/(-7575)*5\/273.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:38 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let v(q) = -484109*q**2. What is w(v(l))?\nAnswer: -968218*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwppmlwuuwp. What is prob of picking 1 l and 1 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 74 = -62, -6*c = z + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, p: 10, x: 1, o: 2, r: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4904*n - 16041*n**3 + 12*n**4 + 16439*n**3 - 14*n**4 + 2436*n**2 + 3280 = 0. What is n?\nAnswer: -2, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 3*j - 4. Suppose 3*g + 1 = 1. Suppose 0 = 8*w - g*w + 24. Calculate k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6583522 divided by -13?\nAnswer: -6583522\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**7\/273 - j**6\/195 + j**5\/130 + j**4\/78 - 30*j. Factor n(b).\nAnswer: -2*b**2*(b - 1)*(b + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15793 + 25193. What is r rounded to the nearest one hundred?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-285)*(14 + 5 - 18)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44860, -89667, -134436, -179167, -223860, -268515?\n\"Answer: 19*o**2 - 44864*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1422*q + 1396*q - 572 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 1 - (2 + -23). Suppose 88 = k + 3*k + 4*k. Suppose -64 = -b*u + k*u. What is the greatest common divisor of u and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -19*z + 6*k, 7*z - 134*k = -130*k + 37 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 26. Let x be 14\/(-42) - 43\/(-3). Suppose -5*h + 107 = -2*f, 0 = 4*h - 5*f - c - x. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(160\/(-6)))\/(17\/(952\/42)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43333b6 - -3?\nAnswer: 43333b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n - 6. Let v be u(-4). Suppose a + 77 = 8*a. Let k be a*(-2 + -2 + 3). Let q(o) = -7*o - 15. Let i(m) = -4*m - 8. Determine k*i(g) + v*q(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and 110.421.\nAnswer: -2760.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3953, 3948, 3945, 3944, 3945?\n\"Answer: j**2 - 8*j + 3960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**3 + 0*f**2 + 3\/4*f**4 + 0 - 2*f - 3\/20*f**5. Factor k(g).\nAnswer: -3*g*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 2, n: 1, g: 1, r: 11, v: 1}. What is prob of picking 2 r?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13559 and 8344.\nAnswer: 108472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2111138522 to 4 decimal places.\nAnswer: -0.2111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/2*29\/(-9918)*-95\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/2904 and -47\/639276.\nAnswer: 14064072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w**2. Suppose -15*p = -12*p + 5*u - 33, 3*u - 9 = 0. Let d(f) = f**2. Determine p*k(g) + 51*d(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 307415.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -17*f - 1. What is u(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3024, 13108, 30252, 54456, 85720, 124044, 169428?\n\"Answer: 3530*g**2 - 506*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33393649?\nAnswer: 1019, 32771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/3)\/v)\/v*v**(2\/35))**(2\/53))**(-2\/9) assuming v is positive.\nAnswer: v**(956\/50085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -37. Let v = 3 + -4. What is the closest to 0.1 in q, v, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219 + 218.9999386. What is s rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/762 and 29\/5080.\nAnswer: 15240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2899\/4 + -1449\/2. What is the nearest to 1\/4 in 2, 2\/7, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(320) + -3*sqrt(320) + sqrt(320))**2 + -2 + sqrt(320) + 2 + 4.\nAnswer: 88*sqrt(5) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40026?\nAnswer: 2, 3, 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vj when two letters picked without replacement from {j: 13, v: 4, k: 3}?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(-186)*((-18)\/(-30))\/((-1)\/(-210))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(55) - -2*sqrt(55))\/sqrt(11) - (sqrt(5) + (sqrt(5) - (sqrt(45) + sqrt(90)\/sqrt(2))))) + sqrt(15)\/(sqrt(33)\/(-2*sqrt(11))))*6)**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/3? (a) -412 (b) 0.05 (c) 6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 2.8. Let y = -14.5 - u. Let j = 16 + y. What is the closest to j in 3\/7, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -5, -2, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2656 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q + 1. Let u be b(-1). Suppose -15*h = -16*h + u. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*a - 1039 = -14, 4*c - 1357 = -3*a. Calculate the remainder when c is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2132, -2209, -2338, -2519, -2752, -3037, -3374?\nAnswer: -3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1463, 0.4, -0.04, 0.3 in ascending order.\nAnswer: -0.04, -2\/1463, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 35*h**2 + 122*h - 248. Calculate u(38).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 11. Let i(n) = 3*n - 5. Let g(t) = -7*i(t) + 4*v(t). Let o be g(-6). Let w be 0\/(-4 - -3) + (-9)\/o. Put 0, -2, w in ascending order.\nAnswer: -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 611*n**4 - 582*n**4 + 5 + n**3 - 3 as w*n + s + k*n**4 + a*n**3 + j*n**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8939985 = 3*c, -20811885 - 6008125 = 3*n - 2*c. Round n to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 59b49?\nAnswer: -59b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/60 - 5*t**4\/12 - 19*t**3\/6 + 110*t**2 - 2*t. Calculate w(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvkvlkvv. What is prob of sequence vv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-25))\/((-2)\/10). Let h = 0.04 - 0.14. Which is the closest to h? (a) -0.2 (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eghffef. Give prob of sequence ef.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3413919377 to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 378, 621, 934, 1341, 1866, 2533?\nAnswer: 3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -654 (base 16) in base 4?\nAnswer: -121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Suppose -2*a = -a - l. Sort a, 0, -4 in descending order.\nAnswer: a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/140 and 25\/19348.\nAnswer: 96740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76567 is divided by 55?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*p - 12, 0 = -x - 3*p + 2 + 1. Let n be (430\/(-15))\/((-4)\/x). Which is bigger: -42 or n?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 52992*d**2 + 233641287*d - 3281372682.\nAnswer: 3*(d - 14)*(d + 8839)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 645431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 n, and 1 a when three letters picked without replacement from {a: 12, k: 1, n: 2, r: 4}.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -1\/42*q**7 + 0*q + 1\/12*q**5 + 0*q**3 + 1\/48*q**8 + 20*q**2 + 1\/12*q**4 + 1 - 3\/40*q**6. Factor l(k).\nAnswer: k*(k - 1)**2*(k + 1)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffx when three letters picked without replacement from bfxrrfhrpxfp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -2115221543?\nAnswer: -2115221535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 15*z**2 - 366*z + 144 = 0?\nAnswer: 2\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39\/164, 9, -1\/51, -1\/2, 1 in increasing order.\nAnswer: -1\/2, -1\/51, 39\/164, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8932086ml?\nAnswer: 0.0008932086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 10*v**2 - 7*v + 18. Let n be t(9). Let c be 598\/10 - 29\/(-145). Calculate the greatest common divisor of n and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 1056*j**2.\nAnswer: -4*j**2*(j + 264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137634.\nAnswer: 2, 3, 7, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.008, 278, -11.25?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-32)*0\/(-2). Let k(q) = -q**2 - 31*q - 49. Let f be k(-29). Solve 2*i + s*z - f = -z, 0 = 5*i - z - 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41*((-611)\/141 + (-64)\/(-12))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 - 2*r**2 + 2*r**2)*(3*r + 2*r - 4*r) - r**5 + 2*r**2 - 2*r**2 + 3*r**5 + 0*r**5 - r**5 + (4*r**3 + 0*r**3 - 3*r**3)*(2*r**2 + 4*r**2 - 4*r**2).\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/10)\/(2\/(-5)). Let y = 103.7 - -369.3. Let k = y - 470. Sort -4, k, 2, q in ascending order.\nAnswer: -4, q, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 6 + 5)*(-2 + 1 - 1)*(-4*g + 5*g + 2*g)*(-276 - 70*g + 276)*(g**2 - g**2 + 3*g**2) in the form x*g**2 + p*g + a*g**3 + d + b*g**4 and give b.\nAnswer: 30240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/24 and -32\/5127?\nAnswer: 41016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.77 - -0.37. Sort -0.4, 5, l in increasing order.\nAnswer: l, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 107. Let x be 9\/a - (-16)\/5. Is (318\/9)\/(2\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485797 is divided by 87?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -86*h**2 + 14*h - 28. Let b be x(-13). Let g = -6764 - b. Let f = -5645 + g. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/106175 and 14\/287711.\nAnswer: 985410175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 904016?\nAnswer: 904016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*n - 94*n - 130*n = -516 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 49, -30, -1222, 7 in descending order.\nAnswer: 49, 7, -1, -4, -30, -1222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63.3 + -6.3. Let l = m - 57.000092. Round l to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216570719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.53, 3.\nAnswer: -1\/2, 0.53, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12546928*h**2*x**2 - 3*h*x - 520*h - 3*x**2 + 21*x wrt h.\nAnswer: -25093856*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from avhhv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -2)\/(3\/(-15)). Suppose 0 = 3*p - 2*o - 2*o - 36, -3*p - 2*o + 54 = 0. Let t = -657 - -661. Solve 5*u + 5 = 25, t*u = -g*c + p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251 (base 15) to base 5.\nAnswer: -4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10977121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0*x**6 + 0*x**3 + 1\/210*x**7 + 0*x + 2*x**2 + 0*x**5 + 0 + 1\/8*x**4. Find the second derivative of o(j) wrt j.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1389 and 1.\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*u + 2, -4*u = 6*p - 3*p + 1. Suppose 0 = -r + 2 - u. Solve 5*f - 1 + 21 = r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (0 - (1 - 6)). Calculate the remainder when v\/39 - 1137\/(-39) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 19376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 26. Let y be 10\/(-45) - 20\/(-9). Solve -2*q - l = 0, -2*l = 3*q + y*l + o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -0.3352, 1\/2, 0.01 in descending order.\nAnswer: 1\/2, 0.01, -0.3352, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -35. Let j = -10 + k. Suppose -12 = -2*d + 2*y - 0, 0 = 3*d + 3*y - 48. What is the remainder when d is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10795500 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 4*p**2 + 6*p + 1. Let t be o(-2). Which is the biggest value? (a) t (b) -1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2007200)\/6*((-10017)\/954 + (-18)\/2). What is n rounded to the nearest 100000?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/u)**26*(u\/(u*u**3\/u))\/((u*u**(-1\/6))\/u))\/(u**(1\/5)*u**(-3))**(-6) assuming u is positive.\nAnswer: u**(-1079\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 0 - (-192 - -194)) + 6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -67. Suppose -2*c = w + b*c - 25, 0 = -2*c + 4. Let j be 24\/15 - 2 - (-6)\/w. Solve 2*k = -j*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9674 - 38697\/4. Let x = 11.44 - 11. Let v = x - 0.04. Which is the nearest to 0.09? (a) t (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/3 + 2 + 4. Solve 4*m - 2*u + 3*u - o = 0, m + u + 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-18)*10\/((-2)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*l**2 - 202*l - 8462.\nAnswer: -46*l - 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13106, 12885, 12662, 12437, 12210?\nAnswer: 11981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -6. Suppose 4*s - s + 2*c - 15 = 0, u = s + 2*c - 5. Sort 0, s, 1 in decreasing order.\nAnswer: s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -333 + 341. What is the third smallest value in 2\/7, h, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 495, 509, 523, 537?\n\"Answer: 14*h + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 4*l - 184. Let j be c(16). Solve 0*m = -j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 20*r**2 + 2*r - 10. Let p be f(5). What is the greatest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851008 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 10*q - 4. Let c be z(9). Calculate the highest common factor of c and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -46. Let c = k + -29. Calculate the remainder when 35 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-20)*5*1. Suppose -i*j = -9*j + 55. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 10:54 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20386.0102 + 0.0102. Which is the biggest value? (a) n (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + 63 + -68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-3) - (3 - 0). Suppose 5*r = c - 12, 0 = 2*r + 1 + j. Suppose 4 = h + 2. Calculate the least common multiple of h and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*-6*-3*(-114)\/38\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42728937*o - 3*o**2 + 42728937*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-3*l + 0*l + l)*(-145 + 142 - 443).\nAnswer: -2676*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b**3 - 5*b**2 - 4*b + 4. Suppose -4*c = -0*c + 2*r + 24, 0 = 3*c + 5*r + 32. Let o be g(c). Is (o\/(-8))\/((-3)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = -3*q + 28, 5*q - 3*o = 49. List the prime factors of q + 1 + 9\/3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, c: 3}. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-1068))\/(-7 - 100\/(-15)). Is r greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(1210)*1)\/((sqrt(288) + sqrt(288)*-1 - sqrt(288) - sqrt(288))*-3*-6).\nAnswer: -11*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Let u be 16\/2 + 1*-2. What is the greatest common factor of i and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -134.5. Let o = j - 3. What is o rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 6 + 0*n - 5*n. Let w be f(-5). Let i = w - -182. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6.93. Let l = s + 0.37. Suppose 2 = -4*u - 2. What is the closest to 0 in 4, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p**3*v**2 + 15*p**3*v + 3*p*v + 52*v**2 wrt p?\nAnswer: 24*p*v**2 + 90*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -75. Let j = -21 - b. Are -5 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32005391 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.302307 rounded to four decimal places?\nAnswer: 0.3023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 9*f + 4. Let s be o(9). Let u(z) = -3*z**2 + z**2 + s*z**2. Let q(n) = n. Give q(u(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*c + 10. Let w(d) = 11*d - 225. Let m be w(21). Suppose -m*u - 10 = -3*g - 7*u, u + 8 = 3*g. Put c, 1, 5, g in ascending order.\nAnswer: 1, g, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*n - 816 - 4632 - 1487 = 571 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -107, -129, -159, -203, -267, -357, -479?\n\"Answer: -f**3 + 2*f**2 - 21*f - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97 - 77) + (4 - 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11334010 (base 5) in base 12?\nAnswer: 51081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.053 + -0.053. Which is the third smallest value? (a) -0.3 (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p + 0*p**3 + 0 - 5*p**2 + 1\/6*p**4 - 1\/15*p**5. Factor x(v).\nAnswer: -4*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 4115312413?\nAnswer: -4115312404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 364 and 690852253?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.89 and 0.1.\nAnswer: -14.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - l)*(-2 + 0 + 1)*(0 + 6 - 4)*(7*l**2 + 5*l**2 - 4*l**2)*(-4*l**2 + 5*l**2 + l**2).\nAnswer: -32*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(605) + -1)*-2 - sqrt(605)) - (-1 + sqrt(605) + 1)*-6)*3)**2.\nAnswer: -3564*sqrt(5) + 49329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a - 3 = 0. Let m be a - (-1)\/((-24)\/(-26)). Is 0 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 6288479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, e: 5}. Give prob of picking 2 e.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2182 = -5*s, 2*s - 6*p = -3*p + 866. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from bkbbbbbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348524?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/9 - 284*a**4\/3 - 1808*a**3\/9 + 40892*a**2\/9 + 9310*a + 41944\/9 = 0.\nAnswer: -7, -1, 7, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 3*c**2\/2 - 7*c - 14. Let k(i) = 7*i - 14. Let u(o) = 6*k(o) - 10*t(o). What is the units digit of u(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -4)\/(9\/45). Let v(t) = -7*t - 32. What is v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 1183840.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/27)\/(-2) + (-3042)\/(-162) + -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 17. Let x be t(19). Let c = x - -46. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 6*r + 104 = 0. Let h(y) = -3*y + 14. Let l = 2 + -8. Let m be h(l). What is the highest common divisor of r and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*l - 5*o, -6*l + 5*l - 4 = -4*o. Suppose -5*m - 4*r + 3733 = -3*r, -1486 = -2*m - l*r. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/153 and 70\/44637?\nAnswer: 2276487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = -5*d + 420, -2*d - 2*n = -168. Let u = d - 48. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -50. Suppose 0 = -a*y - 5 + 11. What is the remainder when 33 is divided by y + -6*(-1 + 2) + 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -584.31 times -0.0438?\nAnswer: 25.592778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-3150)\/324)*(-70)\/(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36780 is divided by 2902.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -22. Suppose 6*c - 4*c = k. Let y(o) = -o**3 - o**2. Determine y(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.42, -4, 10, 7?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + n = 5*w + 10, 6 = 5*w - 3*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - -76.1. Let s = 77.08 - d. Which is the biggest value? (a) -10 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5663888978.99997542 + 5663889035. Let q = k + -56. What is q rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000162881 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270*a**3*k*r - 370*a**2*k*r + 2*k wrt a.\nAnswer: -1620*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p + 21*p = 320. Does 25 divide (7095\/22 - 0)*p\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*f = -12 + 32, 5*f = -3*v - 12. Let d(r) = -v - r**3 + r + 4*r - 4*r**2 - r**2. List the prime factors of d(-8).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/17 + 21\/85. Let y = -2.26 - -0.26. What is the third smallest value in t, -2\/5, y, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*(-185)\/74\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3253 (base 6) to base 15.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 3*y + 4. Let h be w(3). Let p be (-4)\/6 + h\/6. Suppose l = -4*n + 3 + 15, p = -4*l + 4*n + 112. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18907 divided by -73.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46720 - (-6 - -3)) + 1. Let o be (-2)\/360*q\/(-148). Let g = -2\/555 - o. Which is greater: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**3 + 2*z**2 + z - 2. Let b(f) = -16*f**3 - 9*f**2 - 5*f + 10. What is 2*b(m) + 9*w(m)?\nAnswer: 4*m**3 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**4\/24 + 5*t**3\/3 + 4*t**2. Calculate the remainder when 69 is divided by f(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 2) + (-3 - (-2 + -1)). Let u be -1*(m\/(-3) + 78\/126). What is the nearest to 2 in u, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 17. Let j be a(15). Let h = j + 155. Is 39 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3074394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389173 is divided by 82.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.21 - -4. Let n = 473 + -476.79. Let y = g + n. Which is the second biggest value? (a) -0.4 (b) -1\/6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 21*d - 25*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 2*c + 4. Let o = 11 - 22. Let g = o + 8. Is g bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**5\/20 + 69*t**2\/2 + 139. Let l(n) be the second derivative of f(n). Let q(o) = 135*o**2 - 1. Calculate l(q(c)).\nAnswer: -54675*c**4 + 810*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -7*s - 77. Let v = s + 40. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23*(1 - 0\/(-5)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 24 + (33 - 40).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/42 - (-6)\/63) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 - -47. Let k = 1.1 + -7.1. Let z = 6.1 + k. What is the third smallest value in a, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 1. Let f(t) = t**2 - 5*t - 8. Calculate 2*f(q) + 14*z(q).\nAnswer: 2*q**2 + 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 12 = -45. Suppose 0 = m + p + f, -5*m + 5*p = 128 + 57. What are the prime factors of 14\/m - (-104)\/10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**3 - 2 + w**2 + 0*w + 1 + 0*w. What is o(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from 66982985508.\nAnswer: 66982985507.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 113833717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 + 6*k**2 - 9. Let m(u) = -3*u**3 - 9*u**2 + 13. Let l(v) = -7*g(v) - 5*m(v). Give l(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) -564 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 3, -80 in descending order.\nAnswer: 15, 3, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) 54 (c) 4\/179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2244188 is divided by 1244.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2685 - 2685. Solve u = -8*h + 43 - 67 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + h**2 - 3*h - 6. Let k be g(5). Let x = 4851 - 9933\/2. Let v = x + k. Calculate the common denominator of v and -71\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 11. Suppose 5*b - 20 = 0, -2*b + 175 = 3*i + c*b. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9757 = -h + 863. What is h rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:33 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from qzqbbatk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1662*c + 1562*c = 2100 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270217704, 540435408, 810653112, 1080870816, 1351088520, 1621306224?\nAnswer: 1891523928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.39 - 42.\nAnswer: -46.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 455873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 151*u**5\/60 + 79*u**2\/2 + 103*u. Let k(n) be the first derivative of q(n). Let j(p) = -2*p**2. Calculate k(j(a)).\nAnswer: 604*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229909.\nAnswer: 61, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -3.138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 637 and 273324107.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:16 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693 = -41*n - 333 + 1 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41647964?\nAnswer: 2, 41, 253951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.889 less than 0.14?\nAnswer: 5.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*w**3 - 26*w**3 + 35*w**3 + 11*w**3.\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let s(n) = -6*n. Suppose -5 - 7 = -2*f. Let k(d) = -d**2 + 5*d + 9. Let p be k(f). Give p*s(l) - 16*r(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**7\/105 - f**6\/60 - f**5\/15 + 75*f**2\/2 - 202. Let s(x) be the second derivative of u(x). Factor s(l).\nAnswer: 2*l**2*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -1, -1593 in increasing order.\nAnswer: -1593, -35, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 8) to base 6.\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from abwggw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + 1*sqrt(1008) + sqrt(1008) + -2*(sqrt(1008) + 0 + sqrt(1008)) + -1)**2*-4.\nAnswer: -16272 + 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14139271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 2*t - 11 + 7 + 20 - 20*t**2 - 2*t**3.\nAnswer: -2*(t - 1)*(t + 1)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + -15 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/5 + 8343*m**3\/5 + 766648*m**2 = 0.\nAnswer: -7855, -488, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -465? (a) 0 (b) -0.122 (c) -0.02 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374398?\nAnswer: 2, 521, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5 - 2. Let s(z) = z**3 + 7*z**2 + 8. Let f be s(d). Put 2, -3, f in descending order.\nAnswer: f, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z + 154. Let x(n) = -84*n + 928. Let w(b) = 13*u(b) - 2*x(b). What is the remainder when 97 is divided by w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**3\/6 + 4*d**2 + 2*d. Let t be f(-10). Let m = t - -12. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -2*l - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + z + z)*(-2*z**2 - 3 + 51 + 10) + 79*z**3 - 20*z**3 + 20*z**3 to the form b*z**2 + j*z + s*z**3 + g and give j.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38315885*s + 38315914*s + 696 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4 + 123835*g**3 + 15*g**2 + 259*g - 7 wrt g.\nAnswer: 24*g + 743010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sscscs. What is prob of sequence scss?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/(-6))\/(-3)*2. Does 3 divide (o - 1\/(-1)) + 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 5*h - 4. Let s be b(-7). Suppose 0 = -f + 3*f - s. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a century in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**2*s**2 - 2*r**2 + 6047*r*s**2 - 3*r*s - 33 wrt s?\nAnswer: 4*r**2 + 12094*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.8 - 4.1. Round v to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-two fifths of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from frnjtrrnrrrrtjrrnffr?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24031.\nAnswer: 7, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = -0*t. Let g = -1993 - -1996. Solve t = -g*i - 10 - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 4:06 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2819524670 rounded to the nearest 100000?\nAnswer: -2819500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from sjjzzjsjsljsj.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/56922011 and -67\/3.\nAnswer: 170766033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c - 2 = -19*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + (-2 - -1)) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6626.493 + -0.01?\nAnswer: -6626.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 9443115?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/525)\/((2\/14)\/((-42)\/84)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144296498*r**2 + 428537622*r wrt r?\nAnswer: -288592996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16401398?\nAnswer: 2, 13, 630823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66.0000889 - -66. Round n to six decimal places.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 + 22*l**2\/7 - 2588*l\/7 - 5248\/7.\nAnswer: 2*(l - 32)*(l + 2)*(l + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 0.31, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-42) + 2\/3. Let l be 1\/(h - 24\/21). Let v = 32 + l. Calculate the remainder when v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/66 and -67\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 145571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 503*h - 985*h**2 - 505*h + 127*h**2.\nAnswer: -858*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 460605841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4*j + 15 = 0, 3*j - 9 = -4*x - 28 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.3 and 0.01359.\nAnswer: 7.31359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -6*1) + -3. Suppose 3*t = -q*n + 2*t + 14, 3*n - t = 10. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 1225 = 4905. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 2*r + 20. Suppose r = 2*j - 74. What is the remainder when 97 is divided by j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497, 995, 1493?\nAnswer: 1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 1699*b + 1699*b. Let p(g) = 41*g + 17. Let y(a) = 7*a + 3. Let r(l) = 6*p(l) - 34*y(l). Determine t(r(f)).\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 2, n: 6, v: 2}. Give prob of sequence nnv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6970376.7 days?\nAnswer: 995768.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i*i**7\/i)\/i)*i\/(i\/(i*i\/(i\/i**(-2)*i*i))) assuming i is positive.\nAnswer: i**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 + 7*w - 7. Let p(g) = -4*g**2 + 7*g - 8. Let r(t) = 6*p(t) - 7*q(t). Let b be r(5). Is 0 + b + 3 + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c - 40. Calculate m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27813 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 40 = -n, -4*n = -x + n - 38. Let a be x\/15*(-20)\/3. Calculate the highest common factor of 96 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**4*f)\/f*(f\/(f*f*f*f**(-12\/11)\/f*f*f))\/f assuming f is positive.\nAnswer: f**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41857 + -41844. Let y = -474 + 695. Calculate the greatest common factor of y and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 21*d = -24*d + 17, -j + 2*d - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -43. Suppose s - q = 57. Let p(k) = 5*k**2 + 2*k**3 - 58*k + s*k - k**3. What is p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -7224742 divided by -82.\nAnswer: 3612371\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -61*v. Let p(q) = -242*q - 40. Give p(w) - 4*x(w).\nAnswer: 2*w - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951032 is divided by 156.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 8*g + 10 - 2 - g. Let u be v(8). Factor -2\/5*w**5 + u + 0*w**2 + 0*w + 0*w**4 + 2\/5*w**3.\nAnswer: -2*w**3*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:15 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 14063, -5\/3, -5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -25. Let r = d + 12. Solve -3*h + 9 = 3*a, -h + r = 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 31 + 9 + -41?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 11*t**2 - 16*t - 23. Determine o(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 53\/((-3074)\/(-1682)) - 36\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2574, 2578, 2590, 2616, 2662, 2734, 2838?\n\"Answer: q**3 - 2*q**2 + 3*q + 2572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c - 123 - 112 = 0. What is the smallest common multiple of c and 43?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24\/823 + 1228\/606551. What is the common denominator of s and -73\/603?\nAnswer: 6633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(2 + sqrt(68)))**2.\nAnswer: 288*sqrt(17) + 2589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-8) + (-5936)\/(-896).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 2*g - 0. Let s be g\/(-27) - 124\/90. Let q(y) = y**2 + 19*y + 48. Let b be q(-16). Is s > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 65 + 3*o + 12.\nAnswer: 3*o - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + 2)\/(4 - 7). Let u = b + -7\/6. What is the closest to 1\/2 in -0.4, -1, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*p + 92*p - 805 = 0. Suppose 12 = 4*i + 32, 0 = 5*a - 3*i - 15. Suppose -2*n - 3*n = a. Solve 0 = -3*b + t - 2*t - 10, 2*b - 5*t + p = n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 + 29. Let q = 159 - i. Let x = 20 - -24. What is the highest common factor of q and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18580575.89 + -169.063\nAnswer: 18580406.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7490130 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1173)\/68)\/3*(-450 - 2) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*a - 14 = 5*m, 4*m - 3*a + 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.660041 to 4 decimal places.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 - -129. Let i be ((-55)\/12)\/5 - 9\/(-36). Put u, i, -3\/4 in decreasing order.\nAnswer: u, i, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.395 - -0.0268?\nAnswer: -0.3682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 15 - 27. Let r = 2 - u. Calculate the greatest common divisor of 4 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036509 rounded to seven decimal places?\nAnswer: 0.0000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b**4 - b)*(2*b - 7 + 7) + 2*b**5 + b**5 - 4*b**5 + (1116*b + 199*b - 311*b)*(2*b**4 + 0*b**4 + 0*b**4).\nAnswer: 2009*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**4\/12 - 2*y**3\/3 - 3*y**2. What is the least common multiple of (-22)\/(-3) + (-2)\/6 and g(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16598 + -871. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 4*c - 1. Let n = 62 + -59. Let g(y) = y**2 - 3*y + 2. Let d be g(3). Suppose d*k - n = k. Give z(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lazzszzalsiiz. Give prob of sequence aiz.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148837178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -30. Let x = -36 - 13. Calculate the remainder when x*(1 + 0)*-1 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:44 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 - 6*b - 21. Let g be 0 - ((-38)\/4 + 1\/2). Is a(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-51*d + 129*d - 51*d) + 0 + 0 - 2*d.\nAnswer: 79*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2043 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 - -0.7. Let k be (-175)\/(-4) - (-3)\/6. Let d = k - 44. What is the third biggest value in d, 1, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-441)\/49 + 177\/21.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p + 207*p = -28*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 6. Let w be (2\/(-6))\/((-1)\/12). Let f be (4\/(-6))\/(2\/21). Let y(o) = -4*o + 11. Calculate f*r(v) + w*y(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2198, 8976, 24936, 54668, 102762, 173808?\nAnswer: 272396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15810 and 200?\nAnswer: 316200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 11261 = 3*u + 4277, 5*u - m = 11632. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**7\/105 + 13*b**6\/15 - 102*b**5\/5 - 7*b**2 - 366*b. Factor i(f).\nAnswer: -2*f**2*(f - 34)*(f - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = -0. Let i = d - -9. What is the greatest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8932 to the nearest one hundred.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/891 and 64\/99?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + 96. Suppose 11 = 5*o - a. What is the greatest common divisor of o and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28*-7093\nAnswer: -1986.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuk when three letters picked without replacement from kokuouuooooouo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 38*j + q = 10, -3*q - 2 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15641*t = 14799*t + 71570 for t.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6837 - -88879\/13. Which is the fourth smallest value? (a) -0.11 (b) k (c) 4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**6 + 75*t**5 - 46*t**3 - 542*t**2 - 14 wrt t?\nAnswer: 120*t**3 + 4500*t**2 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 275 - 13662?\nAnswer: -13365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 7*j + 9. Let v be r(6). Let m(p) = -3 + v - p. Let z(q) = q**2 + 6. Let k(h) = h**2 + 5. Let u(l) = 6*k(l) - 5*z(l). What is u(m(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4859, 5117, 5549, 6155?\nAnswer: 6935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express 1157*l + 176*l**4 + 13385*l**3 - 175*l**4 - 13385*l**3 + 2*l**2 in the form z*l**2 + h*l**3 + k + p*l**4 + w*l and give w.\nAnswer: 1157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2*o**2 - 3*n**2*o - 12*n**2 + 10*n + 47*o**2 with respect to o.\nAnswer: 4*n**2*o - 3*n**2 + 94*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2. Let g(y) = -792*y + 2. Give g(s(f)).\nAnswer: -792*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-50) - 177435\/(-74250) and -103\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -236. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 0 + 0)*(1 - 1 - w)*(244 - 244 + 92*w).\nAnswer: -184*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -8, 40, -16 in decreasing order.\nAnswer: 40, -8, -16, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let f(p) = 6*p**2 + 5*p. Let v = -2 - -1. Let w(r) = v*f(r) + 5*i(r). Let h(o) = -2*o**2. What is h(w(s))?\nAnswer: -72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + n**2 - 7*n**2 - 12)*(319*n - 321*n - 9*n**3 - 29*n**3).\nAnswer: 190*n**5 + 466*n**3 + 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 1. Let a(x) = 72*x + 3. Give a(d) + 5*g(d).\nAnswer: 77*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.4*231992.\nAnswer: -2180724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68285, -273177, -614681, -1092803, -1707549, -2458925, -3346937, -4371591?\n\"Answer: -a**3 - 68300*a**2 + 15*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3040\/13 - 234. Let f = -1.1 - 3.9. Let j = 11819 - 11818. Which is the nearest to j? (a) f (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813227 plus -0.66?\nAnswer: 813226.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 1. Let m(x) = x**3 + 2*x**2 + 2*x - 3. Suppose 0 = -4*c - 5*v - 12, -6 = 25*c - 23*c - 4*v. Determine c*z(o) + m(o).\nAnswer: o**3 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 7 = 3*m, -9 = -4*c - 4*m - 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of ((-413)\/84*-4*-202)\/((-4)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34306.85kg in grams?\nAnswer: 34306850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -49, -8\/141, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t**2 + 18*t + 18. Calculate the remainder when 16 is divided by b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -167?\nAnswer: 7\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3301 and 0.035.\nAnswer: -115.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93599 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 6. Let u be z(-3). Suppose 5*s - 68 = -4*y, -y + 1 + 3 = -2*s. Solve 0*c - 4*c = y, -1 = -2*p + u*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(0\/(-6))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*w + 12*w + 6. Determine x, given that -3*x**3 - x**2 + 3*x**w - 6*x**2 = 0.\nAnswer: -4\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1900) + -1) + sqrt(1900) + 2 + sqrt(1900) + sqrt(1900) + 1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*d + 16*d - 28*d)*(98 - 161 + 236) as b + r*d and give r.\nAnswer: -4844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3938 + -3938. Let a be (2 + 0\/(-1))\/1. Solve -d = -a*k + 5, -d + 3*k - 7 + o = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, 3, -3\/1718, 201\/2?\nAnswer: -3\/1718","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 4\/(-8) - 3\/(-6)*73?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from vqevqqqqqvqvh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2840, 11293, 25374, 45083, 70420, 101385?\n\"Answer: 2814*h**2 + 11*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l + 11. Let x(a) = 9 - 4 + a - 5*a. Suppose 6*h + 62 = -16. Calculate h*x(o) + 6*f(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*f - 154*f + 4076*f.\nAnswer: 4511*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 - 49*f**2 - 62*f - 34. Determine v(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/110 and ((-304)\/8)\/(-1 + 6 - 13).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2542401 by -282489.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let q be h(-4). Let w be (((-4)\/(-15))\/((-106)\/265))\/((-4)\/18). Put 1, q, w in descending order.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 7644*k**2 + 3625020*k + 25751068.\nAnswer: 4*(k - 959)**2*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/15 - 5*g**4\/24 - g**3\/6 + 2*g**2 - g. Let n(p) = 6*p**2 + 8*p + 2. Calculate -8*a(j) - 5*n(j).\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 10*j - 652 = 0. Let t = j + 109. Let c = -46 - t. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/4)\/(((-1927)\/47)\/574)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2473 or -2486?\nAnswer: -2486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - o = -n + 95, 5*o - 149 = -3*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 347 = -27. Let b = -139 + h. What is the remainder when b is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {t: 1, n: 1, a: 9}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2. Let b(h) = -39*h. Calculate b(p(s)).\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 14*n - 10*n = -18417. Do n and 1753\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -864780*o**2 + 346*o + 1044461079.\nAnswer: -1729560*o + 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -912, 3, 102 in ascending order.\nAnswer: -912, 3, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1120002012 (base 4) to base 15\nAnswer: 71c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:43 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.377? (a) -0.3 (b) 1117 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6 + 6*v + 2*v + 0*v. Let i be y(1). What is the greatest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0712 smaller than 2\/709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/((-3)\/(-6)). Calculate the lowest common multiple of 16 and (-1)\/(f*(-4)\/(-8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 6*s - 1. Let l be v(-1). Differentiate -45*y**4 + 8 + 39*y**l + 20 - 2 wrt y.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -789, -1577, -2349, -3099, -3821, -4509?\nAnswer: -5157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 64. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13249*w**2 - 93*w + 330. Let u be f(-42). What is u rounded to the nearest 100000?\nAnswer: -23400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/35156 and 12\/4499?\nAnswer: 14378804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 less than or equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3260812.\nAnswer: 2, 41, 59, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3518 - 2385. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**7\/14 + h**6\/5 - h**4\/2 - h**3\/2 - 8*h + 2. Let l(v) be the first derivative of m(v). Find o, given that l(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32593?\nAnswer: 11, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 230\/14 + (-3)\/7. Suppose 14 = -2*n + 10. Let w be (-3)\/n*(-2 + 3 - -1). Solve x = -3*b - r, -4*x + 3*b + w + 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by 6\nAnswer: -91\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -14*x**2 - 128*x - 10. Give i(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, y: 1, f: 2, d: 2, j: 1}. What is prob of sequence jy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 36620 - 36980 = 0 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193248 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w. Let d(q) = q - 4. Let i(r) = r - 3. Let b(x) = -4*d(x) + 3*i(x). Determine b(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289913790 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -1. Let c = 4 + l. Let j = 9.00000028 - c. Round j to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-16)\/(-24)))\/(1*-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 1, f: 10, j: 1}. Give prob of picking 1 v and 1 f.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvqqqqkovq. What is prob of picking 1 r, 1 q, 1 k, and 1 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.2843 - 0.0843. Is f not equal to -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.1 (b) -3\/11500 (c) 13 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 161982*a\/13 + 6230\/13.\nAnswer: 2*(a + 3115)*(26*a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*s*x**2 + 95*s - 3*x**2 + 464 wrt s.\nAnswer: 13*x**2 + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -9. Let y = u - 4. Let h = -7 + y. What is the second smallest value in -2\/5, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 8*m = 96. Suppose 0 = 5*h + 5*c - 255, 8*h - m*h - 3*c + 205 = 0. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/632992 and 45\/79124.\nAnswer: 632992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6534 and -65\/2772.\nAnswer: 91476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w + 5*w + 0*w**2 + w**2. Let j be i(1). Solve -3*h - 6*r + r = 11, -2*r - j = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 5*h + 8 + 1, -2*l + 5*h - 11 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 16*w**2 - 14*w + w**3 - 6*w**2 + 55 - 36 - 27. Calculate y(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + -8 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*z - 27. Let w(r) = r**3 + 2*r**2 - r - 3. What is w(z)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 1:42 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:41 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130908 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162 - 160. Solve 2*n = n - g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496105.9 centuries to millennia.\nAnswer: 49610.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*l + 5 = 4, -3*n + 4*l = -25. Let w(r) = 1 + 3*r**2 + r**3 + 3*r**2 - r + 0*r + n*r**2. What are the prime factors of w(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*c - 184*c - 700 = -95*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -0.5 (c) 1\/6 (d) 3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45090 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 - 25 = g, -2*g = -3*t + 30. Suppose t*x - 8*x = 174. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 205256, 410514, 615772?\n\"Answer: 205258*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20 + 3*f**2 + 6*f**3 - 44 + 4*f**4 + 19 + 11 wrt f?\nAnswer: 96*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1528 divided by -382.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*l - 9*l + 78. Let x be 72\/16*(-2 + l\/(-6)). Let b = 1063\/4 - 267. Sort x, 0.2, b in increasing order.\nAnswer: b, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26717 is divided by 143?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 1450*x - 7200.\nAnswer: -2*(x - 720)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*y - 7787 = 372 - 1642 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/15 - 13*b**4\/24 + 13*b**2. Find the second derivative of o(s) wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2603 + 0.0397. Sort m, -2\/11, -6, -0.4 in descending order.\nAnswer: m, -2\/11, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 1. Let i be m(8). Suppose 4*s - 41 = i. What is the lowest common multiple of s and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 6*y - 36. Suppose 0 = -2*n + 2*i + 32, 5*n + 3*i - y*i - 74 = 0. Suppose 23*w = n*w + 18. Solve 5*p - w*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 - -1.9. Let h = k - 3. Let j = -718 - -717.8. What is the closest to j in 1, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 10*a. Suppose 6*u - 7*u - 3 = a. Calculate the lowest common multiple of (2\/3)\/(u\/(-36)) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*g + 3*g + 37 = 0, -2*k + 3 = g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t**2 + 15*t - 2. Let d(i) = -18*i**2 - 22*i + 3. Let y(f) = 7*a(f) + 5*d(f). Let q(s) = -8*s**2 + 7*s**2 + s - 2*s. Determine -10*q(r) + 2*y(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38716 and 2668?\nAnswer: 25823572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 5, g: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -19. Which is the closest to m? (a) -5 (b) -4\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*g**4 + g + 8*g**4 - 24*g + 14*g**4 wrt g?\nAnswer: 432*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1)\/4*-10. Let b(q) = 1 - y*q - 4 + 1. Calculate the remainder when 14 is divided by b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 16*f**2 - 16*f + 18. Let x be c(15). Sort -1, x, 2.\nAnswer: -1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10547, -10551, -10559, -10571, -10587, -10607, -10631?\n\"Answer: -2*a**2 + 2*a - 10547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9222765, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -9491622?\nAnswer: -9491622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1525169, -1525170, -1525171, -1525172, -1525173?\nAnswer: -1525174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7710 by 1542.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:50 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912\/(-66) + (-4)\/22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 8. Let p be f(-8). Let q be ((-4)\/6)\/(20\/(-12) + p). Let m = -10 + 14. Which is the third biggest value? (a) m (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 34192*a\/7 - 92910.\nAnswer: 2*(a - 17115)*(a + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-858)\/(-108) + -8)\/((-2)\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.044*-17\nAnswer: -0.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 - 101. What is the smallest common multiple of 9 and q?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 18439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28501.095 months in years?\nAnswer: 2375.09125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 + -203. Let v = u - -120. Calculate the remainder when v is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2645643 rounded to 3 decimal places?\nAnswer: 14.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jmjjjjjjmjjj.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603*j = -58*j - 1090. Factor 1\/10 + 1\/10*a**j - 1\/5*a.\nAnswer: (a - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)*n)\/n**(-14)*((n\/(n*(n*n**(-3\/8))\/n))\/n)**(-1\/3))**28 assuming n is positive.\nAnswer: n**(1379\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -600.8848628 + -158.1156762. Let p = c - -759. What is p rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 11. Let j(l) be the first derivative of -l**3\/6 - 4*l**2 + 7*l + 9. Let g(s) be the first derivative of j(s). Give g(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2609210 to the nearest one thousand.\nAnswer: 2609000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/9234225 and -8\/452025?\nAnswer: 64639575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwgigiwg. What is prob of picking 1 w and 2 g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.97 - 0.67. What is the third biggest value in y, 2\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 36*n + 868. Let t(x) = 31*x + 867. Calculate 6*a(h) - 7*t(h).\nAnswer: -h - 861","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7b5b (base 12) to base 15\nAnswer: -411b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/17, -23, 9, -0.12, 82?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-872)\/(-2))\/(4*(-5)\/(-4)). Let l = -87 + k. Which is the closest to 0.1? (a) -0.4 (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 18*u = -4424. Suppose -5*d - 109 = 3*s - 875, -4*d + 4*s + u = 0. List the prime factors of d.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79610\/10475*((-10)\/4)\/(-1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (694 - 5674 - 12960)*(-2*c**3 - 2*c**2 + 2*c**2).\nAnswer: 35880*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 2\/9*u**3 - 2*u + 15 + 2\/3*u**2. Factor s(n).\nAnswer: 2*(n - 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t = 39*t - 32110. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 346, 285, 126, -179, -678, -1419?\n\"Answer: -8*z**3 - z**2 - 2*z + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 1, x: 2, k: 6, s: 5}. Give prob of sequence xsks.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 5*u = -11*u - 125 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 2*l - 1. Let v be m(2). Let o be (-1)\/v + (-159)\/(-27). Solve -y + 4*y = o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 2*u - 18 = 0. Let s be u\/(-5) + 1\/((-2060)\/784). Is 0 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2 - 2)*(5*o**3 + 5*o**3 - 11*o**3 - 10) + 2*o**4 + 0*o**4 - 4*o**4.\nAnswer: -3*o**4 - 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -102210?\nAnswer: 102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 763770 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55551.\nAnswer: 3, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqpo when four letters picked without replacement from {q: 7, o: 4, e: 2, p: 1, r: 2, h: 1}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 12. Let g = 78 - 68. List the prime factors of c(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7103, -14207, -21311, -28415, -35519?\n\"Answer: -7104*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 83147400 to the nearest one hundred thousand.\nAnswer: 83100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (9 - 4) - -4) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plajlppppajfpjjpl. Give prob of picking 1 l, 1 a, 1 f, and 1 j.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h - 581 + 282 = 0 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7*o**6*o**(1\/12)\/(o\/((((o**(-7)*o)\/o)\/o)\/o*o)*o) assuming o is positive.\nAnswer: o**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23164764 and 0.05.\nAnswer: 1158238.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40050937 + -2?\nAnswer: 40050935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 609000*j + 1826932. What is x(-3)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Suppose 2 = f - l. Let z(r) = -r**3 + 6*r**2. Is z(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:23 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -408\/29. Let u be (77\/28 + -2)*2\/3. What is the second biggest value in u, -2\/7, 3, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 175 (b) 2\/7 (c) 3\/13210 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -3*q**3 - 11*q**2\/2 + 25*q - 26. Let n be v(6). Let i be (12 - 16)\/(2\/n). Round i to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/3*33\/22. Suppose -9*y = -v*y. Solve -3*j = 4*a - 19, 3*j + 3*a + y*a - 15 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2940 = -792*g + 687*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5 + 8*f**3 + 2 in the form r*f + y + w*f**2 + t*f**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - b + 27*p - 6*p + 135, b = p + 51 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1\/2, -85 in ascending order.\nAnswer: -85, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Let k = -13 - -19. What is the lowest common multiple of k and s\/8 + (-87)\/(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 5. Let y be r(-3). Solve 0 = y*n + 4*v - 6, 5*n - 4*v - 29 = -0*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39214592 and 3?\nAnswer: -117643776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -111, -82, -53, -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 + 117\/(-27) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 36148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 66. Solve 1 = -b, 6*b - a*b + 9 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.4042 to 2 dps.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/20 - -109\/540. Are -1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -99129\/5135?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 1983472c?\nAnswer: -19834734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8673385 months in centuries?\nAnswer: 0.00238944875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -114, -89, -48, 15, 106?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1703 + 22137\/13. Let u = 13.3 - 13.7. Sort -0.2, m, u, -3.\nAnswer: -3, u, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {x: 3, v: 4, o: 6}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101436464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7069, 8058, 9705, 12004, 14949, 18534, 22753, 27600?\n\"Answer: -z**3 + 335*z**2 - 9*z + 6744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v + 2*v + 0*v - 6 + 0. Let f(l) = 8*l - 5. Suppose -3*c + 0*c + 78 = 0. Suppose -c = 3*g + 4*s, 2*s + 0*s = g + 2. Give g*i(o) + 7*f(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.710832266 + 47.308833. Let w = o - 0.598. Round w to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 4*v**2 - 15*v - 16. Let f be c(-6). Solve f*x + 19 = -x - 4*y, 4*x + 24 = -4*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 57, 115, 193, 291?\n\"Answer: 10*u**2 + 8*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-76)\/(-10) - 6\/(-15). Suppose -i = -3*c + b, -8 = -5*c - i - 0*i. Let j = -22 + 24. Calculate the remainder when c is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 41*x**2 + 37*x + 125. Let w be a(40). Suppose -b - 16949996 = -16*u + 11*u, w*u - 3*b = 16949988. Round u to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o**2 + 9*o. Let y be (63\/2)\/7 + (-6)\/(-12). Let t(f) = f**2 - 2*f. Let i(w) = y*t(w) + u(w). Let g(s) = -s. Calculate -g(z) + i(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 9*n - 7. Let w be a(8). Let x = w + 22. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 532*a**2 - 6 + 313*a**3 - 1072*a**2 + 540*a**2.\nAnswer: 313*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 18. Let u be 465\/27 - (-4)\/(-18). Let w = u + x. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qry when three letters picked without replacement from {r: 1, c: 1, p: 1, q: 1, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3.74 (c) 0.03 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (255\/25 - -3)\/((-2)\/(-10)). Let x = -64 + t. Suppose 5*q + 16 = x*n + 4*q, -4*q + 16 = 2*n. Solve 0 = 2*w + 3*r - n - 6, 4*r + 12 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004059 rounded to seven decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 304, 474, 346, -416, -2148, -5186?\n\"Answer: -56*q**3 + 187*q**2 + q + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-25) - -69*(-2)\/(-20).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(0 + (0 - 1)). Suppose -y*z - 2653 = 2*z. Let d = -109 - z. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3502278 and 3510.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10990, 11130, 11348, 11644, 12018?\n\"Answer: 39*p**2 + 23*p + 10928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*a + 117*a + 520 - 1540 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 891, 6\/47, 0.1, 3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-630)\/9828*(-18)\/(-10))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*6\/18 - -687. Let l = s + -426. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a meter in millimeters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*v + 3*f - 7 - 17, 2*v - 682*f = 687*f - 1358*f - 76 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-9)*0 + 2. Let a(n) = 2*n**2 + 2*n - q*n - n**2. Let i(d) = d. What is i(a(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-4)\/10 - 28*(-1504)\/1645. Solve -16*f = -p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*z**2 + 9*z**2 - 2*z + 3 - 6*z**2 as a*z**2 + i + t*z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3 - (5 + 4)) + 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - -1 - (10440 - 10497)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175644?\nAnswer: 2, 19, 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8525916?\nAnswer: 2, 3, 7, 23, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*b*z**2 + 2*b*z + 56*b + 7*z**3 with respect to z.\nAnswer: -28*b*z + 2*b + 21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {n: 6, x: 1, r: 5, g: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 - 150. Let o be ((-2)\/(-8))\/(3\/(-6)). Sort 0.07, -4, b, o in descending order.\nAnswer: 0.07, o, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + n + 333 + 409 = 0, o + n - 152 = 0. Calculate the least common multiple of o and 6.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13252.\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17384 and 2809.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14e7c5 (base 16) to base 3.\nAnswer: -2120121100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7 = -z - 2*z, 2*d + 2*z - 6 = 0. What is the nearest to -2 in 5, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:38 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/48 + 96\/256. Sort -23, 0.11, o in descending order.\nAnswer: o, 0.11, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {s: 6, y: 2, f: 2, o: 1, w: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 751947 from -94991751.\nAnswer: -95743698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 - 0.2. Let y = 2.9 + w. Suppose -1864 = 347*q - 293*q + 1268. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 26*z**2 - z - 35. Let b be y(-26). Let c(d) = -2*d - 4. Let j be c(b). Find the second derivative of j*s - 5*s**3 + 131 - 131 wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 9*h + 1. Let b be z(-9). Let i be (-6)\/2 - (-8)\/b. Let k(q) = 0 + i*q + 0 - 3*q. Let j(u) = u. What is j(k(v))?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f8 + -19?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 398 - 30?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693777 - 615.83382.\nAnswer: 693161.16618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 167*n**2 + 537*n + 4080. Determine m(-170).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*b = b - 7, 3*b = -h - 1. Let c be 2\/(2 + 10\/h). Put 2, c, 5 in ascending order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -407672 (base 10) to base 13.\nAnswer: -113735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4343383?\nAnswer: 11, 61, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -108, 143, -4, -0.3?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5\/2 + 69*d**4\/2 + 6795*d**3 + 20163*d**2 + 40173*d\/2 + 13365\/2 = 0.\nAnswer: -55, -1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(245) + -1 + 0) + (-3 + sqrt(245) + 1 - 1*sqrt(245)*4))**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 + -268. Let s = y - 22. Let z be (-1)\/(-3) - s\/9. Calculate the highest common divisor of 14 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 + 158. Suppose 0*s + 59 = -5*z - 3*s, -3*s - 49 = 4*z. Calculate the remainder when ((-6)\/z)\/((-3)\/(-135)) is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5\/4 - 3*s**4\/2 - 3*s**3\/4 + 3*s**2\/2 = 0. Calculate s.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -30?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 18*j - 1789. What is i(-26)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**2 - 2*j**2 - 47*j**2. Let k(d) = -d. Determine r(k(c)).\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {h: 3, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -0.4, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(2\/8*-2 + 1). Let p(z) = 2*z + 2. Let f be p(m). Solve -3*j - f = 2*h, -h - 3*h = -3*j + 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9334541213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-214976)\/(-30231))\/((-12)\/27).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315) - sqrt(315)*-2*-2)\/(-1*sqrt(700) + sqrt(700) - sqrt(700)).\nAnswer: 9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39360 = 454*t + 506*t for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -188542\/453177 - 127\/3513. Let x = -1\/129 - p. What is the biggest value in 5, -1, -13\/3, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 2)*(-14*u**5 - 95*u + 95*u) + 2*u**3 - 2*u**3 - u**5.\nAnswer: 69*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -742*t**5 + 221456 - 221456 + (0*t**3 - 3*t**3 + 2*t**3)*(t**2 + 0*t**2 - 2*t**2) + t**2 - t**2 + 2*t**5.\nAnswer: -739*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 13305\nAnswer: 5322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -61, -182, -351, -568?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164020 and 19379380?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9) + 1 + -18 + 5 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r - 3 = -63*r, -5*r = -4*l + 373. Calculate the greatest common factor of l and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -105, -1\/6, -4\/7, -4?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 5*i - 5*i + (-85*i + 42*i + 45*i)*(i + 4*i - 3*i) to the form t*i + h*i**2 + x and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -314*m - 460. Let z(w) be the first derivative of -53*w**2 - 153*w + 126. Let s(p) = 6*l(p) - 20*z(p). What is the derivative of s(k) wrt k?\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70530 + 103927 + 138985 = -4394*i - 122016 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -310 + 387. Let g = -45 + s. Calculate the remainder when g is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87974996*a**4 + 212685252 wrt a.\nAnswer: 351899984*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57082821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(25\/30))\/(4\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -36125*x + 1. Let n(d) = 626*d**2 + d. Give h(n(j)).\nAnswer: -22614250*j**2 - 36125*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*k + 135893 + 106923 = 2302*k for k.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 64.09232m?\nAnswer: 64092320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 18 = 4*s, -4*s + 5*y - 25 = -9*s. What is the nearest to -1\/4 in 16, -5\/4, s?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 17 - 9 - 8 + 4*c. Let r(m) = -3*m**2. Determine w(r(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2127, 4390, 6653, 8916, 11179, 13442?\nAnswer: 15705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.1 (b) -43 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7272650 is divided by 15506?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*r - 8440 = 2505*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 636 = 10*b. Let o = 621 - b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 5.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibjbjbiggtggigigtg. What is prob of picking 1 j and 1 t?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 228\/29803, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.451 and -307?\nAnswer: -138.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Suppose 24 = -6*b + 78. Let r be 5\/(-25) + b\/(-105). What is the third biggest value in y, 2\/7, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 73, 236, 483?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - 0.8326.\nAnswer: -30.8326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764 divided by -41698?\nAnswer: -882\/20849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Give h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/3*-2*81\/54. Solve -5*j + b*x = -25, 0 = -3*j + 2*x - 5 + 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 31. Let j(o) = -o + 16. Let w(s) = -4*c(s) - 7*j(s). Suppose -x + 38 - 15 = 0. Calculate the remainder when x is divided by w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-4 - (1 + -3)) - 108\/(-12). Are -2\/11471 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5001.6 + 3626. What is i rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 4:29 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/13)\/(-163 - 22747560\/(-139555))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64715.87 weeks in nanoseconds?\nAnswer: 39140158176000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 5 (c) -0.3655 (d) -4 (e) 1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702317 is divided by 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (132\/(-42) - -4)*7. Suppose 4*g = 3*s - 24, g = 3*g + d. Solve -s*c + 12 = 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 - 704*n\/7 - 7502\/7.\nAnswer: -2*(n + 11)*(n + 341)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562278 is divided by 865?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4527.4557 * -10\nAnswer: -45274.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -2311551?\nAnswer: -2311551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71601827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 11*v**2 + 3*v - 24. Let t be j(-10). Let y = t - 19. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 974 - 1027?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 7*n**2 + 5*n - 10. Let h be d(-8). What is the highest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -86*p**2 + 2 - 92*p**2 + 179*p**2. Calculate g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-186))\/((6\/21)\/(44\/(-77))). Which is the nearest to 0? (a) u (b) 2 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 - 210?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 - 22)*(2*c**4 - 2*c**4 + 2*c**4) in the form y + q*c**2 + n*c + f*c**3 + m*c**4 and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1229\/44 - 111\/4. Let y = -4 + 0. Which is the second smallest value? (a) x (b) y (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580*n - 1169*n + 572*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 4*p**2 - 3*p. Let w(f) = 5 + 0 - 2*f**2 - 5. Determine w(i(u)).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/9 + -3 + (-187)\/(-9). Solve -5*v + s = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**10\/378000 - a**9\/25200 + a**8\/5600 - 7*a**5\/60 + 19*a**2. Let d(g) be the third derivative of z(g). Factor d(n).\nAnswer: 2*n**2*(n - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8452282933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y + 4049. Let g(v) = -15*v - 12151. Determine 2*g(r) + 7*h(r).\nAnswer: -2*r + 4041","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*t - 4 + 151*t - 155*t + 2 + 165*t.\nAnswer: 283*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -5*w - 257 + 267, -5*u + w - 2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195 - -10. Let j = g - 120. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y. Let f(x) = 41051099*x**2. Give f(j(a)).\nAnswer: 369459891*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1962 + -1962. Let n(z) be the third derivative of j*z - 8*z**2 + 0*z**3 + 1\/4*z**4 + 0. Let a(t) = -2*t. Determine a(n(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 4*h + 2. Let r(g) = g - 1. Let f be r(6). Let k be z(f). Solve 5*n + 13 = k*n + o, 15 = 5*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*n = -85*n + i - 39416, -4*n - 5*i = -31516. What is the smallest common multiple of 3 and n?\nAnswer: 7884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from obooobboboooooooob?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 3, l: 2, e: 2, w: 2, c: 4}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z - 2. Suppose 20 = n - 6*n. Let m(g) = -4*g - 2. Let f(p) = n*m(p) + 3*w(p). List the prime factors of f(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 + 30. Let n = 46 + g. Let x be ((-1)\/(-1))\/(n\/(-8)). What is the nearest to 1 in x, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -29*p + 521. Determine m(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45008.26m to nanometers.\nAnswer: 45008260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 5*r + 6. Let y be c(7). Let h be 2\/(-4)*(y + 6). What are the prime factors of (-2 - 14)\/(-2)*h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53111 - 478712\/9. Let n = d + 79. Let k = -2.2 - -2. Which is the smallest value? (a) k (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13467698, 13467696, 13467694?\nAnswer: 13467692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 r, and 1 i when three letters picked without replacement from {w: 10, r: 1, i: 8}?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p*w**2 - 3136*p*w - 6*w**2 + 486 wrt p?\nAnswer: 2*w**2 - 3136*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31430 - 2?\nAnswer: -31432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:02 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -98, -128, -140, -128, -86?\n\"Answer: j**3 - 49*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -3*i**5\/5 + 23*i + 24. Find the first derivative of x(r) wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 35*y**3 - 4*y**2 + 27*y + 9. Let m be d(-7). Is 86 a factor of (-4)\/(-288)*9 + m\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001734019172 rounded to seven dps?\nAnswer: -0.001734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 559 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5005 and 490?\nAnswer: 70070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*1\/4 - (-28)\/(-16). Let w be (-15 + 19)\/(1\/1*b). Sort -8, w, 0, -5.\nAnswer: -8, -5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3135\/8 - -391. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 257870 and 1926?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 9 - (-295)\/(-35)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40451032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267 and 570579?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62981 + 175380 = 3288*r - 107897 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94130279 to the power of 1\/2, to the nearest integer?\nAnswer: 9702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3256, -10006, -16768, -23548, -30352, -37186, -44056, -50968?\nAnswer: -57928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252788.1 millimeters to kilometers.\nAnswer: 0.2527881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 374 = 5*a. Let d = a + -39. Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 13485293?\nAnswer: 121367637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5992 + 5992.000004168. Round h to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22399 and 5677285?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20\/11, -31\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -72009 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/24 + 5 - -6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -115*z + 31 - 10 - 4 - 10 - 5. Let k(q) = 3*q**2. Calculate l(k(r)).\nAnswer: -345*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b + 5*f, 3*b - 4*b - f + 2 = 0. Let k(m) = m**2 + 16*m + 5. Let o be (32\/(-2))\/(0 - 3 - -4). Let d be k(o). Solve -b + d = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13719679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 78*v**2 + 889*v + 2747. Give h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -11*j**4\/24 - 2*j**2 + 1. Let h(y) = -4*y. Calculate h(a(p)).\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*h - 9, -3*g + h + 10 = -3*h. Suppose 10*s - g*s = 0. Solve s = -3*d + 1 + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9*h**2 - 12*h + 11. Let d(y) = 13*y**2 + 18*y - 16. What is -5*d(s) - 7*m(s)?\nAnswer: -2*s**2 - 6*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1213*q**2 + q**3 - 3713*q**2 - 951*q**2 + 5*q**3.\nAnswer: 6*q**3 - 5877*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/7, -2\/11, -131\/5, -2\/3.\nAnswer: -131\/5, -2\/3, -2\/11, -0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31005973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2360302 + -11.0602402. Let a = 10.3642044 + o. Let u = -0.46 - a. Round u to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + t = -t + 1192, -4*q + 980 = -5*t. Suppose c - q = -3*c. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -787*i + 11646 = -140*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 9. Let r = -6 + k. Sort r, -5, -1 in increasing order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -22. Let z be (-50)\/l*(-3038)\/(-465). Let m = 109 - z. Which is the second smallest value? (a) -0.021 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 20694 - 20694 - 2*c. Let y(o) be the third derivative of -o**4\/6 - o**2. Calculate y(z(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*k*w**2 + 2*k*w + 6*k - 172*w**2 + 2*w + 7 wrt w?\nAnswer: -52*k - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20\/(-90) + 130\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76046136 - 197.8\nAnswer: -76046333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71385 is divided by 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 482 + 23.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/61 (b) 3551 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**8\/6720 - t**7\/420 + t**6\/80 - 14*t**5\/15 + 147*t**2. Let w(j) be the third derivative of q(j). Factor w(p).\nAnswer: 3*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9\/7))**(6\/13)\/((x\/x**(-19)*x)\/(x**(-13\/2)*x)))**(6\/11) assuming x is positive.\nAnswer: x**(-14793\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 371, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 48204*m + 722835.\nAnswer: (m - 48189)*(m - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from eiyyifyyiyyyayyyfyy?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 91*t - 18 = -184. Let z(u) be the third derivative of 35\/24*u**4 - 2*u**t + 0*u + 7*u**3 + 0. What is the first derivative of z(c) wrt c?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 706*o**2 - 62*o - 491. What is the units digit of k(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24*((-66)\/(-8) - 0). Let f = -2576\/13 + w. Let q = -1099 - -1098.5. Which is the nearest to -1? (a) f (b) 3\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45755 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a - 39*a - 69*a + 21*a to the form x*a + f and give x.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + 8 - (-2 - 1). Find p, given that 5\/3*p**3 + 0 + 3*p**4 - 3*p**s + 2\/3*p - 7\/3*p**5 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.2701 kilometers in meters?\nAnswer: 492270.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yynyynyynn. Give prob of picking 1 n and 1 y.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*t + 17, 0 = -2*t + 4*f + 10 - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*-2*2\/6. Let x = 0.16381 - 796.06381. Let p = -796 - x. What is the nearest to 0 in p, b, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.738792 centuries?\nAnswer: 73.8792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -26 + 22. What is the second smallest value in 0.2, -0.5, 0.4, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3797*0.061\nAnswer: 0.0231617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-72)*2)\/((-1)\/(-268)). What is the second derivative of -8 + q*x**2 - 3 + 2 + x + x - 2 wrt x?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + z = 11, 5*z - z + 31 = v. Suppose -v + 7 = -4*h. Factor -6 - 78*j**2 + 82*j**2 - 8*j + 7*j**3 + j**3 + h*j**4.\nAnswer: 2*(j - 1)*(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 476\/(20\/5) - 2. Let w = -62 + l. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 26 - 7. What is the remainder when 71 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 8*b + 4*b - 14581, 3*b - 14588 = -5*d. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 9 + 2 - 3 + 0. Let a be x(-6). Sort a, 5, -5.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45\/17 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 43 = 107. Find the third derivative of -620*f - 11*f**2 - 2*f**h + 614*f - f**4 - 13*f**5 wrt f.\nAnswer: -780*f**2 - 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 - -1.39910218292?\nAnswer: 1.39310218292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q - 8. Sort q, -5, 6.\nAnswer: -5, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 14 = -h, p - 1 - 5 = -h. Let k = -88 + 270. Let b(z) = z - 362 + k + 179. What is b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - (-1074)\/9. Suppose 0 = 5*l - 2*l - 12. Suppose l*w - w = y. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*j - 165 = 0, -13*j - 48 = 2*s - 6*j. Sort -2, s, 3, 6 in ascending order.\nAnswer: s, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -276679\/108 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 1\/14*p**2 + 1\/42*p**6 + 0*p**5 + 0*p**3 + 52 - 1\/14*p**4 + 0*p. Factor x(s).\nAnswer: s*(s - 1)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 34*j**2 + 4*j**2 + (4*j**2 - j**2 - j**2)*(-3 - 1 + 2))*(2*j**2 - 2*j**3 - 2*j**2).\nAnswer: -62*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182317069?\nAnswer: 11, 79, 209801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14014124 (base 5) to base 14\nAnswer: 3995b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + w + 1. Let c(f) = 2*f**2 + 9*f. Give -c(p) + 2*u(p).\nAnswer: -4*p**2 - 7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 3)*(0*b - b - b)*(-2 + 2 + 4) to c*b + w and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (32 - (-16 - -30)) + 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 619, -4, -2 in decreasing order.\nAnswer: 619, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 4*sqrt(1900))*4)**2.\nAnswer: 760000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -12 + ((-980)\/168 - -16). Factor -g*q + 0 + 1\/3*q**2 - 1\/6*q**3.\nAnswer: -q*(q - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:48 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 109. Calculate the greatest common divisor of p and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqxqkckcklxcqqqkkcc. Give prob of sequence ckx.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95422159*k - 129912510 with respect to k.\nAnswer: 95422159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -39 * 460\nAnswer: -17940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 n when four letters picked without replacement from {z: 6, n: 3, m: 1, h: 3, c: 1, d: 6}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eleeleecee. What is prob of picking 1 c and 2 e?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 8 - 29*h**4 + 24*h + 38*h**4 - 6. Differentiate c(r) with respect to r.\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 20155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 2678 + 338. Let r be -1 - (-3 + -21 - 3). Calculate the greatest common divisor of r and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {m: 7, k: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13465849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*h + 32, 5*x + 3*h + 21 = -26. Let v = 10 + x. Solve 0 = -2*y - v*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17552 is divided by 3485?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from {y: 18, g: 2}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(3\/6*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -23*q**2 + 7*q. Calculate g(2).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)\/((-3)\/18). Let d = 2 - v. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1875 and 92925?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/3 - 5380*j**2\/3 + 52900*j - 394500.\nAnswer: 4*(j - 1315)*(j - 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(30\/50*(-5)\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -7. Let a be (6\/(-24))\/((-3)\/180). Let m = a - u. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12662*c - 24403.\nAnswer: 12662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(-30)*(-126096)\/157620.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3776 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111552 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 22*g - g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -632*b*m**3 - 701*b*m**2 + 2*m**3 - m**2 + 1686*m + 3 wrt b?\nAnswer: -632*m**3 - 701*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (30 + 27 - (2 + -1)) - (-7 + 7).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:20 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 34 = -x, 6*f = 8*f + 2*x - 2. Solve 2*s + 1 = 3*t, -2*s - 12*t = -f*t + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19921583.46 to the nearest one thousand.\nAnswer: -19922000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k + 1. What is the remainder when 41 is divided by a(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-42))\/(13\/156*6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 368 + -2d8?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2875 is divided by 2818?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3\/2 - 1424*q**2 - 3995*q\/2 - 571.\nAnswer: (q - 571)*(q + 1)*(5*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -12*n + 30. Let a be (2 + (-15)\/n)*0. Is a != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 1 (b) -2 (c) 11 (d) 744\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, p: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123382?\nAnswer: 2, 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + z - 2. Suppose -9 = -4*o + 3*f, -f = -4*o + 3 - 0. Let h be k(o). Sort 2, h, 1 in descending order.\nAnswer: 2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -p + 102, 0*u - 2*u - 2*p = -64. Let x = u + -22. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60828.\nAnswer: 2, 3, 37, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**4\/3 - 52*f**3 - 11329*f**2\/3 + 422868*f - 419040 = 0.\nAnswer: -97, 1, 72, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4381 divided by 4231\nAnswer: 4381\/4231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*s = 0, s + 22 = -2*k - 3*s. Let u = -1 - k. Let h = u + -1. Is 1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142621 and 1651?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = 12. Let r(y) = -13*y - 7. Let b be r(v). Let m be 2\/2*(2 + 6). What is the greatest common factor of m and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(25)\/(sqrt(125) - sqrt(5)))*4 + 4)**2*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h - 4. Let z(f) = 2. Let n(a) = -2*j(a) - 22*z(a). Let u be n(-10). Suppose -u*w + 277 = 3*m, -3*w + 3*m + m + 214 = 0. Does 35 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/3, -5, 5, 850.7025?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 200, 179, 136, 59, -64, -245, -496?\n\"Answer: -2*d**3 + d**2 - 10*d + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-21))\/((-95)\/(-760))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -782*o + 18. Let h(r) = 4*r. Calculate h(s(n)).\nAnswer: -3128*n + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634929163 to the power of 1\/2, to the nearest integer?\nAnswer: 40434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*c**2*l*n + 27*c**2*l - 6*c**2 - 5*c*n - c - 94*l + 3*n wrt c.\nAnswer: -362*l*n + 54*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 27*k**2 + 477*k + 2099. Determine m(-7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**5 - 315894*v**4 + v**2 - 147091574*v?\nAnswer: 20*v**3 - 3790728*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + (14 - 14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeex when four letters picked without replacement from {e: 11, x: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 44*h**2 + 26*h**2 + 17*h**2 - 8*h + 10*h as b*h**2 + d + c*h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:38 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271*j**6*r**2 + j**3*r**3 + j**2*r**3 - 4*j*r + 15*r**3 wrt j?\nAnswer: 32520*j**3*r**2 + 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000000100011111000 (base 2) in base 3?\nAnswer: 1222101112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -3, 6, -314 in ascending order.\nAnswer: -314, -3, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 5:45 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.096 - -1.156. Put 13, 3\/5, y, -1 in ascending order.\nAnswer: -1, y, 3\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + 9 + (255 - 196)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119 + 19)*1\/(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4977*v**2 + 157*v + 0*v - 4982*v**2 in the form b + t*v + q*v**2 and give t.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**3\/3 + 9*r**2\/2 + 6*r + 23. Let t be (-2 + 10\/4)*70. Let v be (14\/t)\/((-1)\/15). Determine w(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 111.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - y**2 - 12. Let v(c) = -3*c**3 - 2*c**2 + c - 13. Let u(g) = 5*a(g) - 4*v(g). Let q be u(-2). Is (19\/4)\/(q\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-585)\/(-528) - (-1)\/(-3). Let x = i - 11\/48. Let z = -4583 + 4583.3. What is the third smallest value in -0.4, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose 15 - b = 2*v. Let t(a) = a**3 - 4*a**2 - 5*a + 5. Let n be t(v). Sort 2, -3, n.\nAnswer: -3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**3 + 20348*i**2 - 304320*i = 0.\nAnswer: 0, 15, 5072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 6:07 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 197\/5*w**2 - 397\/5*w + 1\/5*w**3 + 199\/5.\nAnswer: (w - 1)**2*(w + 199)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1621.599 times -4?\nAnswer: 6486.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 7*s**2 + s + 8. Let l be (-1)\/(80\/28 - 3). Does 6 divide c(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:16 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -m - t - 0, 5*m - 5*t + 25 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 987*-263960.\nAnswer: -260528520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -47. Let k(d) = 10*d**2 + 9*d + 6. Let a(g) = -g**2 - g. Let r(u) = 5*a(u) + k(u). Is 10 a factor of r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -137124836 + -1?\nAnswer: -137124837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 2495224\/17 and 146778 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -14. Let q(p) = -20 - 4*p - 3*p - j*p. Let l(u) = -3*u - 7. Let f(i) = -17*l(i) + 6*q(i). What is f(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266 by -133.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 25*f - 91. Let o be b(5). Solve -2*i = h + o, 2*i + 1 = h - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0638 and 625.\nAnswer: -39.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + 2 - (5 + -6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 + 8*k. Let q(d) = d**2 + 2*d. Let m(h) = -j(h) + 4*q(h). Let x(v) = v**2 - 16*v. Determine m(x(a)).\nAnswer: -a**4 + 32*a**3 - 256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1100) + -2)*5 - 6*(sqrt(1100) + -1)) + 3)**2.\nAnswer: 20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psm when three letters picked without replacement from {p: 1, n: 5, m: 1, a: 2, s: 1}.\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1541.47 - -1490.3312. Let x = -0.1388 - q. Let i = -1.7 - -2. Put -2, i, x in ascending order.\nAnswer: -2, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 + -7 - 1) + (1 - (0 + 9))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1a398b (base 16) to base 5\nAnswer: -414444132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 414.472793 and 261.\nAnswer: 675.472793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-21)\/15)*(61152\/(-210))\/52.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67, -598, -1565, -2840, -4429, -6338?\n\"Answer: -l**3 - 145*l**2 - 223*l + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 4*p + p**3 + 2*p - 4*p + 101 - p. Is 25 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30259?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 282852 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 639268 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: What is prob of picking 1 a and 1 z when two letters picked without replacement from {a: 4, z: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (11 + (-10 - -5) - -1) + 2 + -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11894*t + 648401 - 293119 = -8771*t - 905283 for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654005 is divided by 164.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4620\/(-112651)*19*(-14)\/(-4)\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15634637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 - -89. Let i = 70 + y. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -2\/13, -0.2, -1\/10?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/4939?\nAnswer: 2\/4939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:36 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 3, -38?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-136)\/(-28) + (-9)\/3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p\/(p**0\/p))\/p)\/p))**(-1\/27)\/(p**5\/p**2))\/(((p\/p**(-3))\/(p*p*(p\/(p**(-3\/7)\/p))\/p))\/(p**(2\/7))**(2\/23)) assuming p is positive.\nAnswer: p**(-15578\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 340 + 19*n**2 + 47*n**2 - 337 in the form g*n**2 + l*n + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 223, 440, 657, 874, 1091, 1308?\n\"Answer: 217*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-12) - 8\/(-6). Let i(s) be the second derivative of -1\/20*s**5 - 1\/2*s**3 + 1\/2*s**j - s + 0 + 1\/4*s**4. Factor i(g).\nAnswer: -(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -15\/2, -2\/9, 1\/26, -0.2, -1?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13129.8 or 86\/9?\nAnswer: 13129.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315217 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*7 - (3 + -45 + 49). Let n(m) be the second derivative of 26*m + 0 + 0*m**2 + 1\/30*m**6 + 0*m**3 + w*m**5 - 1\/3*m**4. Let n(f) = 0. Calculate f.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o**2 - 17*o - 72. Let g be 8 - (-4 + 33 + 4). Is c(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 5*u - 2. Suppose -4*t = -3*t - 5. Let p be f(t). Do p and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/5)*j**4*((j*(((j*(j*j*j**1)\/j)\/j)\/j)\/j*j)\/j)**(-16\/7))**47 assuming j is positive.\nAnswer: j**(846\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 117ba25b + 5?\nAnswer: 117ba263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 7197131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 63 = -9*h. Let k be 0\/(-2)*(-7)\/28. Suppose k = u + 6*u - h. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7267543 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = 140. Let l = g + 10. Let c = l + 32. What is the remainder when 27 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a + 72. Let r be k(17). What is the second derivative of -r + 7*u - 354*u**3 + 420*u**3 + 18 wrt u?\nAnswer: 396*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19312679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -328 - -144. Let s = p - -151. Is -33 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77 + 2657b2?\nAnswer: 265869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132 - -395\/3. Which is smaller: -84.24 or g?\nAnswer: -84.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -281454 or -281456?\nAnswer: -281454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147010771 to the power of 1\/3, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.44 - -0.5. Let u = j - -0.34. Let h = -0.3 - -0.2. Which is the nearest to h? (a) 0.2 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46.43 - 23.57. Let k = -51 + 51.3. Sort g, k, 4\/5 in decreasing order.\nAnswer: 4\/5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-21)*12\/10. Let j(u) = 56*u**n + 0*u + 0*u - 68*u**2. Let y(r) = 7*r. Determine j(y(v)).\nAnswer: -588*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -24694866\nAnswer: 4\/4115811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w - 4. Give c(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 25*f**2 + 87*f + 48. Let l be w(-14). Calculate the greatest common factor of l and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*c + 12. Let q = -79 + 86. What is the third derivative of -7*m**5 - 3*m**2 + 0*m**5 - q*m**c wrt m?\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 615841, 3, 2 in decreasing order.\nAnswer: 615841, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -113, -169, -225?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -74, -183, -340?\n\"Answer: -24*t**2 + 11*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262241088?\nAnswer: 2, 3, 431, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 + 12 - (-109)\/(-42). Let t = b - -3\/7. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-6))\/(211\/(-105) + 2). Suppose -68*q + n = -61*q. Let z = 9 + -4. Calculate the highest common factor of q and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 9*d - 6. Let c(i) = 4*i**2 + 45*i + 30. Let v(u) = -11*b(u) - 2*c(u). What is q in v(q) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13395 + 14476. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3 + 16*o**2 - 12*o = 0 for o.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/18 and 41\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 57.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -8\/21?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 7*y**3\/6 - 9*y**2 - 7*y. Let o be n(3). Solve 2*i = i + o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(49*c**2 + 146 - 146) in the form j*c**2 + r*c + u and give j.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234*g + 499*g - 588 = -619*g + 920 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/26, 2\/5, -3\/4, -2, -4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 267, 523, 779?\n\"Answer: 256*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49607, 49554, 49501?\nAnswer: 49448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614.1552 nanograms to milligrams.\nAnswer: 0.0006141552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4 + 7246*m**3 + 150*m**2 - 542950*m - 1811500 = 0.\nAnswer: -5, 10, 3623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.868621 days in milliseconds?\nAnswer: 161448854.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**2 - 64*o + 156 = 0 for o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:12 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:39 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3935*l + 650*l = 187245 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1349137128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - (-1)\/((16\/6)\/(-8)). Solve -2*g - 3*s = -10, -j*g + 6*g - 5*s = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1866 + -1861. Sort 0, c, -5, 15, -2.\nAnswer: -5, -2, 0, c, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82662 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - 57*u + 3. Let r(m) = -364*m. Give b(r(f)).\nAnswer: -264992*f**2 + 20748*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/8 - (7 - 7). Let z be (-6)\/(-21) + 5\/70*24. Suppose 2*r - 2 = -2*q, -z*r - 2 = -3*q + q. Which is smaller: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3421 - 0?\nAnswer: -3421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1749089989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 j when four letters picked without replacement from {p: 1, b: 10, j: 7, k: 1}.\nAnswer: 175\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -11. Let f be ((-5)\/2)\/((-1)\/2). Suppose 2 = -f*l - p. Which is greater: l or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 5*b + 0*b as l + d*b and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 5. Let h be o(-4). Let c = -1 + h. Let n(j) = -j**3 + j**2 + 2*j + 1. Give n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -24*x**3 + x**2 - x - 1. Let j be b(-1). Let s = j - 17. Suppose -f + 15 = -0. Calculate the remainder when f is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/14)\/(6*1\/(-21)). Let k(h) = h + 6. What is k(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27338\/195 != 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -10*6\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0*y**3 + 1\/30*y**5 + 0 + 0*y + 8*y**2 + 0*y**4. Let d(w) = -6*w**2. Give c(d(q)).\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2350\/(-564) + 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*r + 5*u, -r + 5 = -3*u + 1. Let j(h) = 2 + 0*h + h - 3 + 15*h**3. Does 11 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816272700?\nAnswer: 2, 3, 5, 313, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 162 = -6*p. Calculate the highest common factor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**6\/120 + c**5\/60 + 5*c**2\/2 + 4. Let y(z) be the second derivative of l(z). Find i, given that y(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 202 = -523. Calculate the greatest common factor of t and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4364500 by -75250.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015696 - -142646116?\nAnswer: 142646116.015696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 617 + 373?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -3*n, -4*y + 3*n + 63 = y. Suppose 5 = -2*c - 5*h, 1 = -5*c + 2*h + 3. Suppose -5*q = -3*t - y - 4, -q + 5 = c. Round t to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/4147)\/(40\/(-20))*(-7)\/((-7)\/(-2)).\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 19*k**2 - 22*k + 8. Let x be n(-10). What is the highest common factor of 32 and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**3 + 192*w - 5. Let h(j) = 6*j**3 + 193*j - 4. What is 5*h(l) - 4*v(l)?\nAnswer: 2*l**3 + 197*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - d**2 - 2. Let i be p(2). Let s be ((-11)\/(-3))\/(i\/6). Suppose 5*m = -3*w + 40 - 1, w + m - s = 0. Solve -w = 2*x + 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 338 = 5*c. Suppose -19*b - 119 = -c*b. Calculate the least common multiple of b and 7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2*6\/(-24))\/(-4)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chc when three letters picked without replacement from hhhhhhhchhhhhchhhhhc.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000168161 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(-2\/7)\/k*k*k*k)\/k)**(-2\/43)*(k*k**(3\/5)*k*k*k*k*k)\/k**(-3) assuming k is positive.\nAnswer: k**(14188\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702817 divided by -4.\nAnswer: -702817\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**3\/2 - u**2\/2 - 2*u + 3. Let m(q) be the first derivative of i(q). Give m(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:24 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 3:57 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.18 - 1.28. Sort -3\/2, 0.5, 4\/11, l in descending order.\nAnswer: 0.5, 4\/11, l, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, 0, 1527, -9\/7, -4, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2747400.3s?\nAnswer: 763.16675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454684910 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {d: 2, j: 8, o: 1, n: 7}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 0 - 1 - l + 3 + l**2 + 7*l. Let w be i(-7). Is 119 + 1 - (6 - w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (11 - 6) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67205 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*v - 31, -4*v - r = -3*v - 11. Suppose -6*n = 3*m - v*n - 941, 2*n - 319 = -m. Does 35 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*g - 2*o + 20, -5*g - 13 = 4*o. Which is the nearest to 0? (a) g (b) -10 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 53 = -43. Let n be -1 - 2 - -4 - -1. Suppose -o = -3*x + n*y, 4*x + 3*y - 17 = 2*x. What is the greatest common divisor of x and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97.6 - 98.1. What is the nearest to 0 in c, 2\/9, -4\/7, -7\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let t(h) be the second derivative of -h**4\/12 - h**3\/6 - 9*h - 8. Let u(z) = 20*z**2 + 14*z. Let x(n) = -4*t(n) - u(n). What is x(l(o))?\nAnswer: -16*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 14*y - 4. Let f be i(-6). Suppose -12111 = -f*d - 2511. Suppose d = -5*b - 9000. Round b to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 2*c**2 + 4896. Does 33 divide k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**3 - 240*d**2 + 1836*d - 2680 = 0.\nAnswer: -67, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = 19. Suppose -4*o - 1 = -z. Let b(y) = -2 - 1 + 2 + 2*y - 8*y. What is b(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 15*l - 31*l + 12*l.\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -249*m - 114. Let h be x(-6). What is the thousands digit of (-34 - -32) + h\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9 + (-4380)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/19 - 902*l\/19 + 904\/19.\nAnswer: -2*(l - 1)*(l + 452)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27442 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 9*x**2 - 3*x - 16*x**2 to the form c + l*x**2 + r*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, a: 4, i: 3, j: 1}. Give prob of sequence aj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(17216\/28480 + 6\/(-10)). Calculate the greatest common factor of 623 and j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:03 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -299*f**4\/24 - 4*f**3\/3 - 3*f**2 + 76*f. Let s(g) = -3*g**2. Determine h(s(x)).\nAnswer: 897*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 426 - 447. Let v be 76 - ((o\/(-3) - 0) + -6). What is the greatest common divisor of 525 and v?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -22. Let f(c) be the second derivative of c**4\/6 + 3*c**3\/2 + 2*c**2 + 2*c + 4. Let g be f(j). Calculate the greatest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = 4*c, -5*c - 2*u = -4*u - 22. Suppose c = -5*h + h. Let d be 3*1\/3 + h. Solve 0 = n - d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -195*q + 15. Let d(p) = -204*p. What is x(d(k))?\nAnswer: 39780*k + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2474, -9733, -21774, -38591, -60178, -86529, -117638?\n\"Answer: k**3 - 2397*k**2 - 75*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 1. Let q(d) = 4*d**2 - 4*d - 7. Let b(n) = -3*n**2 + 3*n + 5. Let l(y) = 7*b(y) + 5*q(y). Determine -2*a(i) + l(i).\nAnswer: -i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3115592 months in centuries?\nAnswer: 0.001092966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or 2170\/1021?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/3)\/((-1)\/3). Suppose 0*k = -f - 5*k + a, -2*f + 2 = -k. Factor i**4 + f + i + i**3 + i**5 + 3*i**2 - 5*i**2 - 3*i**3.\nAnswer: (i - 1)**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/5, -76, -6501?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*u + 966, 0 = 2*w - 0*w + 5*u - 966. Let z be 6\/(-21) - ((-2241)\/(-21) - -3). Let y = w + z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 15*g + 238 = 0. List the prime factors of g.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/12)\/(b**6*b)*(b**(-3\/7))**(6\/7))**(1\/4) assuming b is positive.\nAnswer: b**(-4381\/2352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9445603.\nAnswer: 19, 497137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21118790 divided by 4223758\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 5220?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 488886 and 31586?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -810 - -994.4. What is y rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.291 and -125.\nAnswer: -123.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5882, -5911, -5942, -5975, -6010?\nAnswer: -6047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.465962 rounded to 2 decimal places?\nAnswer: -8.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 23347698?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31195 and 4037?\nAnswer: 343145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h + 183. Let b be 16\/40 - 1032\/30. Let z = 22 - -40. What is the remainder when z is divided by x(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -10764, 9, 3 in increasing order.\nAnswer: -10764, 3, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooortoooioio. Give prob of picking 1 i and 1 o.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -2 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(52))**2 + 3 + -2)*-6 - (((sqrt(13) + (sqrt(13) - (0 + sqrt(13))*-3))*-4)**2 - (-5 + (sqrt(468) - (sqrt(468) + 0)))**2).\nAnswer: -5493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 551669669?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*k**4 + 0 + 5 + (-5*k + 5*k - 11*k**3)*(2*k - 4 + 4).\nAnswer: -24*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-553 - 822 + 461)*(5*f - f - 2*f + (1 - 1 - 3)*(f + 1 - 1))*(-1 + 1 + f)*(-5 - 2 + 5) to r*f**2 + y + z*f and give r.\nAnswer: -1828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 1. Let x(h) = -60*h + 55. Suppose 2*z + 2*z = 5*j + 12, 3*z - 3*j = 6. Give z*x(b) - 110*c(b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -123, -137, -163, -207, -275, -373?\n\"Answer: -q**3 - 7*q - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l - 5. Let g be y(4). Suppose 4*i = 103 - g. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*t + (1 - 4 + 17)*(t - 2*t + 0*t) to the form x*t + o and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Let i(n) be the second derivative of 1\/24*n**3 + 0*n**f + 1\/48*n**4 + 0 + 2*n - 1\/80*n**5 - 1\/120*n**6. Factor i(k).\nAnswer: -k*(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:43 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3\/9 - 248*j**2\/3 - 3682*j\/9 - 1468\/3 = 0.\nAnswer: -367, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-6*(-123)\/(-18)*19\/(-19).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + q = 13, c - 5 = 4*q + 6 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*r**2 - 10*r + 3*r - 168*r**2 + 1 - 3156*r**2.\nAnswer: -2842*r**2 - 7*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 440 - 438. Solve -f*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 + r**2 + r + 1. Let p be t(-1). Let v = 171 + -168. Suppose -p*c + 1065 = -h, 1347 = 8*c - v*c + 4*h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/4 + 993*g\/2 = 0. Calculate g.\nAnswer: 0, 1986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -95969620 divided by -20?\nAnswer: 4798481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 5*a + 5. Let h be i(6). Let w = 68 - 63. Let d(c) = -1 + 2*c + w*c**3 - 9*c**3 - 3*c. What is d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 less than -1232.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1 - 8 - -16. Solve 5*s + z = t - 2*t, 5*t + 4*s = 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244413, 488820, 733227?\nAnswer: 977634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, 49, 116, 173, 214, 233?\n\"Answer: -t**3 + 4*t**2 + 66*t - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-36) - 2\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22601 is divided by 263.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 + 4*o**3 + 15*o**2\/2 - 2*o - 10.\nAnswer: (o - 1)*(o + 2)**2*(o + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*n + x - 16, 0 = 4*x - 20. Calculate the greatest common divisor of n and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 - 83*m - 452. Let j be u(-5). Sort j, 1\/3, 2\/13 in decreasing order.\nAnswer: 1\/3, 2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10454377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4258 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -790 + 14221\/18. Let a(f) be the second derivative of 0 + 4*f - 1\/30*f**5 + 0*f**2 + 1\/63*f**7 - x*f**4 + 0*f**3 + 1\/45*f**6. Factor a(w).\nAnswer: 2*w**2*(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -57. Solve 4*p - 17 = -3*v, 0 = 5*v - v - z*p + 24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80*-16656.8.\nAnswer: 1332544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + c - 4. Let i be 870\/78 - (-4)\/(-26). Let d = i - 5. Suppose d*y - 4 = -28. Calculate r(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2294323.103 - 10282?\nAnswer: 2284041.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 918*z - 18060 = 897*z. What is the highest common factor of z and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1400 and 25200.\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 - 41 = 3*v. Let f = 50 - v. Let y = -12 - f. What is the greatest common divisor of y and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.047 - -19.953. Let b = 23 - w. Put -5, -9, b in decreasing order.\nAnswer: b, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4421 - -4420. Sort 4, r, -1\/2, -12, -3\/14 in ascending order.\nAnswer: -12, r, -1\/2, -3\/14, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1413, -2768, -4123, -5478?\nAnswer: -6833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7772)\/(-20) + -14 + 4\/10 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 2*c)*(-c - 3*c + c)*(1 + 1 + 5)*(1 + 90*c**3 - 1) + 2*c**5 + c**2 - c**2 + (-c**4 - 2 + 2)*(3 - c - 3).\nAnswer: -3777*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let c(j) = j**3 - j**2 - 9*j - 7. Let k be c(4). Let y(l) = 4*l - 9. What is k*r(s) - y(s)?\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 43*s + 272. Let m be h(-48). Solve -4*c = 2*a - 10, 0 = -4*a + 4*c + c - m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iriiziiwi. What is prob of picking 1 z and 1 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 6. Suppose v - y = -1. Let g(c) = 4*c. Calculate the remainder when g(v) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/502823 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504408 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.72214\nAnswer: -0.072214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 16, 24, 32, 40?\n\"Answer: 8*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 - (-9 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 = 65*k + 2731 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -155*c**3 - 10*c**2 + 30*c + 11. Let b(o) = 78*o**3 + 4*o**2 - 12*o - 5. Calculate 5*b(r) + 2*w(r).\nAnswer: 80*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 196*x**2 - 109*x - 83. What is the tens digit of u(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 - 22. Suppose 10 = -5*t, -2*t - 7 + 1 = -2*d. List the prime factors of n\/6 + d\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11654 is divided by 2906.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by -2 + (18 - (-2 - 3\/(-3))).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -742 (base 13) to base 12.\nAnswer: -871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/35)\/(f\/((f*f\/f**(2\/131))\/f)) assuming f is positive.\nAnswer: f**(-332\/4585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*h - 1 + 28 + 47*h + 41*h to b*h + p and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) -70 (b) -0.9 (c) 11\/114 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 117741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 26*w**2 + 22*w + 31. Let v be u(17). Let r be (-4 - 6)*2004\/10. Let j = r + v. Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5966 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**2 - 82982*h + 166299*h - 83317*h.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*d - 3. Suppose -3*l - 3 = d*p, p = -l - 2*p + 5. Let c(u) = -13*u - 6. What are the prime factors of c(l)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 + 118.7. Let g = 159\/5 - 32. Which is the fourth biggest value? (a) q (b) 2\/15 (c) g (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 1\/6*b**3 - 20 - 11*b + 21\/4*b**2. Find g, given that v(g) = 0.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6086 + 10546. Calculate the highest common factor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -20 - ((-36 - (-35 + 33)) + -16)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(15\/(-9)) - 0. Suppose 3*o - 12 = h, -3*o + 16 + 14 = -n*h. Let z be h\/((-18)\/(-29500))*-400. What is z rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*l**5 - 287*l**4 - l**3 + 77495*l**2 - 4 wrt l?\nAnswer: 4560*l**2 - 6888*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 - 111. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 20618, 4.\nAnswer: 3, 4, 5, 20618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -12*r + 5. Suppose -9490*f + 9513*f - 46 = 207. Calculate the remainder when k(-5) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z + 37*z - 21*z. Let u(l) = -l + 1. Let n(c) = -4*c + 5. Let t(r) = n(r) - 5*u(r). Give t(m(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -192\/5. What is the nearest to 2\/7 in 0, -2, -4\/11, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2849 and 2.9?\nAnswer: 8262.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111899 is divided by 111775.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278873601 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 1832 + 0*c**3 - 2*c + 2*c**2 - 1831. Suppose -s - 4*s + 10 = 0. What is x(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*d - 1)*((d - 2*d - d)*(-2*d + 2*d + d) - 2*d**2 - 8*d**2 + 3*d**2).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37411551)\/343197 + (105 - -4)?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + c. Let i(h) = 13*h**2 - 7*h - 20. Let v(m) = -i(m) - 6*q(m). Give v(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5869 + -5871. What is the second biggest value in -68, y, -6, -6\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -879, -1739, -2601, -3465?\nAnswer: -4331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 11 = 1436*t - 1431*t + 6*x, -3*x - 18 = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341, 1429, 3243, 5783, 9049, 13041?\nAnswer: 17759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3549332 to the nearest 10000.\nAnswer: 3550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxpitbxxtltxx. What is prob of sequence xtp?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:47 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -679\/264 + -10\/33. Let k(l) = 29*l**2 + 5. Let t be k(10). Calculate the common denominator of g and t\/28*(-2)\/(-30).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 12*n + 5 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 32*d. Suppose -3*c + 21 = -a, 3*a = -2*c - 3 + 17. Let u(t) = 3*t - 8*t + c*t. Determine u(m(k)).\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*2)\/sqrt(6))**2 + (sqrt(57) - 2*sqrt(57))\/sqrt(3).\nAnswer: -sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7437829459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11335 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2173 - -2176. Let h be (68 + -64)\/(z\/(45\/66)). Factor 2\/11*s**2 - h*s + 2\/11*s**3 + 6\/11.\nAnswer: 2*(s - 1)**2*(s + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*h + s, h + 5*s = -1 + 2. Suppose -3 - 9 = -4*g, 4*f + 2*g = -h. What is the third biggest value in 4, f, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 706 + -717. Let l(p) = 5*p**3 - 8*p**2 + 6. Let u(k) = -9*k**3 + 15*k**2 - 11. Determine r*l(b) - 6*u(b).\nAnswer: -b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -484233\/31 - -15619. Let m = 2583\/124 - v. Find the common denominator of m and 9\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/594 and 139\/132.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-10)*-4)\/(29486\/8182365)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 184360000 to the nearest 1000000.\nAnswer: 184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3 + sqrt(208) + sqrt(208))**2 + -2*sqrt(117) + 5)*-6.\nAnswer: -25380 + 1620*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1253.009 > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*n**2 + 36*n**2 + 223 - 223 - 93*n**2.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0723157 rounded to 3 decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/(-11) - -3) + 1. Let f = 91\/88 + q. Put -0.1, -4, f in ascending order.\nAnswer: -4, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 2 - (-2 + 0 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0)\/(-125 + 89).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 22*k + 239. Calculate f(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*n = 182*n + 70*n - 1386 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12648.81 - -12649. What is the second biggest value in 3\/8, 0.03, 2, n, 0.2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*k + 39 = 724*k + 5*h, 5*k - h - 17 = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 9*s**2 + 8*s - 5. Calculate k(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 7*q**2 - 2*q - 10. Let g be l(-7). Let h(c) = -c**3 + 7*c**2 + 3*c - 5. Is h(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(60)\/(2*sqrt(10)) + sqrt(6)))\/((1*sqrt(320) + sqrt(320))*-3 - sqrt(320)) + 1.\nAnswer: -sqrt(2)\/84 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/235 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 15, -23, -97, -219, -401, -655, -993?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.2 - 7.1. Let l = v - -13. Let w be 2\/1 - (-12)\/(-2). Which is the second biggest value? (a) -3 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 11*y**2 + 160*y + 4463. Determine a(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14.7 or -13?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.9 and -915?\nAnswer: 908.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 23 + -66 + 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5712 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15203, -31624, -48045, -64466?\n\"Answer: -16421*o + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 31, 4720, 1, 0 in ascending order.\nAnswer: -5, 0, 1, 31, 4720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v - 2*c = -100*v + 10, -3*c = -2*v + 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2629 - -2629. Solve q = 2*x - 5*u + 17, -5*x + 7 - 2 = -3*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**5\/2 + 3*r**4 - 12*r**3 - 24*r**2 + 24*r + 48.\nAnswer: 3*(r - 2)**2*(r + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 406385.5 nanograms in grams?\nAnswer: 0.0004063855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.9. Suppose 0*g = f - 3*g + 14, 4*f = -5*g + 12. Which is the third biggest value? (a) j (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, 1.01, -0.1 in descending order.\nAnswer: 12, 1.01, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**13*y**(-2)*((y**6*y)\/y)**(-4\/11))**(-48) assuming y is positive.\nAnswer: y**(-5184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*n - 1338 - 223, -5*p = -5*n + 1555. Does 26 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 130 = 114. Let l(h) = 3*h**3 - 2*h**2 + 15*h + 3. Is l(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - a = o + 32, -4*o + 16 = 4*a. Suppose 59 = 5*m - 26. Calculate the remainder when m is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 17*g - 957 = 0. Solve 7*u + 5 = g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + (-699)\/(-15). Let m = v - 30. Suppose -i + z + 10 = 0, 2*i + 0*z = -z + m. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058479?\nAnswer: 17, 19, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 11 = -2*s, 0*s = -2*s + 5*t + 17. Suppose 31*i - s = 30*i. Suppose -4*g = -i*g. Solve -5*k + 5 = -g*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*m - 229 - 356 = 0. Let o(z) = z**2 + 7*z + 5. Let u be o(-7). Which is the closest to m? (a) -1\/2 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 4, 188, -5, -1\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**3 + 96*k**3 - 680 + 696 in the form x + a*k + j*k**2 + y*k**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125529 is divided by 125521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, -39, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**3*u*u*u*u*u*u**(-4\/7)*u\/(u*u**(-4)*u)*u**(-2\/3))\/(u**(-2)*u*u**(-5)*((u\/u**(-2))\/u)\/(u*u*u\/((u*u**(-1\/4)\/u*u)\/u))) assuming u is positive.\nAnswer: u**(1177\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f - 904. Suppose -4*s + 2 = -f. List the prime factors of s.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 424 by 106.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 6*k + 5*k)*(-2*k**3 + 2*k**3 - 4*k**3).\nAnswer: -56*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752409821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**6\/15 - 4*h**3\/3 + 3*h**2\/2 + 4. Let n(c) be the second derivative of q(c). Find the first derivative of n(w) wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*o + 23. Put -3, o, 5 in descending order.\nAnswer: 5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220 - 8*o + 3*o - 152.\nAnswer: -5*o - 372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:54 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173 - 170. Is j\/(-12) - (-15353)\/52 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*o + 250, 7*z - 168 = 3*z + 4*o. Suppose 5*u = -3*k + z, -91 = -5*k - 4*u + 2*u. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 11, 23, 37?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17230937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6004 + -4070. Suppose 0 = -c + 2*c + 3*y - i, -5*c - 2*y = -9683. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5\/327 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 690550 by 7.\nAnswer: 98650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1076*h**2 + 64. Let u(f) = -215*f**2 + 12. Calculate 3*g(z) - 16*u(z).\nAnswer: 212*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.8 + -5.5. Let l = -13.1 + p. Put l, -1, -0.3, 5 in increasing order.\nAnswer: -1, -0.3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 59*x**2 - 114*x + 241. Give q(-57).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5724, 11474, 17224, 22974, 28724?\n\"Answer: 5750*l - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.4, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 33*d - 1750. What is h(53)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 1 - 10*p**2 - p + 5*p)*(-6 + 6 - 4*p).\nAnswer: 40*p**3 + 4*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhh when three letters picked without replacement from {h: 3, b: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -260, -1 in increasing order.\nAnswer: -260, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 858, 1731, 2594, 3441, 4266?\nAnswer: 5063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7190460 divided by -180.\nAnswer: -39947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -883, -2227, -4517, -8227, -13831, -21803, -32617, -46747?\n\"Answer: -79*n**3 + n**2 - 794*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 211851 and 31424565.\nAnswer: 94273695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 473729, 2, -4, -3, -1 in ascending order.\nAnswer: -4, -3, -1, 2, 473729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 5*z + 968*z**2 - 2*z**3 - 3*z.\nAnswer: -2*z**3 + 968*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 26. Which is the fourth smallest value? (a) -4 (b) -1\/3 (c) p (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27, 743261 in decreasing order.\nAnswer: 743261, 27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 6 (c) 129371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - 24. Let t be o(-8). Suppose -14*p + 9*p + 15 = t. Solve -p*f - 4 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 750208129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j + 24. Let v(s) = 4*s + 8. Let m(k) = 8*v(k) - 3*y(k). Let l be m(-6). Suppose 1 = i - 4*q, 2*i = -q - q - 8. Sort l, 3, i in increasing order.\nAnswer: i, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12781946 and 0.033.\nAnswer: 0.00421804218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1117*c - 112 = 1121*c - 4*j, -j = -16. Let y = -15.2 - -17. Which is bigger: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(175)))**2 + 5*(sqrt(175) + 2 + sqrt(175)) - ((sqrt(7) + 1)*5 + 1*1*sqrt(7) + 3 + 2).\nAnswer: -436*sqrt(7) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -110. Calculate the common denominator of b and 2488\/(-192) + 5 - 4\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -1\/12*b**4 + 0 + 0*b + 2*b**2 - 5\/6*b**3. Let i be 10 + 1 + (-1 - 66\/11). Give f(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353500367 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 5*n - 12. Determine j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11483.45 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113219?\nAnswer: 3, 37, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 g when three letters picked without replacement from ggzzzzzgrrzzwzgrrzz.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 834 + 162 = 12*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:18 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-25)\/10 + 4)*(-12)\/(-9). Suppose 13*x = -a*x - 15. Let j(m) = -14*m**2 - 9. Let o(z) = 7*z**2 + 4. Let q(i) = 4*j(i) + 9*o(i). Give q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*24*(-172)\/8. Suppose 5*y = d + 964. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319636.\nAnswer: 2, 103, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 12*q**2 + 7*q - 3. Let m(t) = t - 1. What is -4*m(i) + z(i)?\nAnswer: 12*i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:14 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.20352046 to three decimal places.\nAnswer: 3.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 + 0?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1805 = 2*i, -6*r = -r - 25. Calculate the lowest common multiple of 979 and i.\nAnswer: 9790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from zccclzlccczlcllcdzcz?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w - 110. Suppose 0 = 11*z - 0*z - w. Determine n, given that 0*n**z + 0 + 0*n + 1\/5*n**3 + 0*n**4 - 1\/5*n**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q**5 - 68*q**4 + 253*q**3\/3 - 14*q**2 - 13*q - 4\/3 = 0.\nAnswer: -1\/6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:21 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is be43 + -2343?\nAnswer: 9b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 1\/90*p**5 + 0 + 1\/27*p**4 + 1\/27*p**3 + 5*p + 0*p**2. Let b(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*z = -113, 5*j + 59 = 5*z + 254. Find the common denominator of (5\/100 + 0)*j and 49\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 12 = -3*c, 0*c + 2*c = -2*u + 8. Suppose u*v = -5*v + 10. Let a be 3\/(1\/((-6)\/(-9))). Solve -v*b - a - 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005936 to four decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {a: 4, l: 3, w: 13}.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517 a factor of 116669441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 11*g**2 + 2*g + 23. Suppose -6 = -4*m + 2, -42 = 4*q + m. Let f be t(q). Let j be 1 + (-46)\/(-2)*f\/(-29). Is j less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190\/(-342)*11\/(-55)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-876)\/3 + 1. Let p = -266 - w. Solve k - 5*o = -10, -3*o = 5*k - 6*o + p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (10 - (5 + 1)) - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.27 - -0.27. Let k = 0 + -0.2. Let x = -910.5 - -910. What is the closest to k in b, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n. Find the second derivative of n*o**2 + 3*o**4 - o - 4*o**4 + 0*o**2 wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 145440*h + 13220496000.\nAnswer: 2*(h - 181800)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 6. Suppose -n + 0 + 3 = -r, -9 = -4*r - 3*n. Suppose 4*s + 23 + 13 = r. Calculate the smallest common multiple of 11 and b(s).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.173602 meters in nanometers?\nAnswer: 7173602000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:55 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3080 and 37\/1103025?\nAnswer: 8824200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*j - 5 = -37, 2*j - 19 = -5*d. Suppose 1008 = 13*p + d*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-12)*(-216)\/24336*39.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icuivvv. What is prob of picking 1 i and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v - 14. Let l be d(-3). Calculate the least common multiple of 52 and -2 - l - (9 - 33).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 167 in 1\/2, -4, -0.033?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -551692*u**5 - 125231*u + 7?\nAnswer: -11033840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 4. Calculate the remainder when c(2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-21))\/((-50)\/175).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -10\/301, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*k - 6*k + 420. Let y = 71 - 48. Suppose y*o - 28*o + 35 = 0. What is the greatest common factor of k and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/9451 and 19\/6.\nAnswer: 56706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4400950.\nAnswer: 2, 5, 88019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -l, -2*l + 2*o - 28 = 7*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 11. Let n = -5.4 + i. Sort 2, n, 0.4 in increasing order.\nAnswer: n, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1186\nAnswer: -3\/1186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168737031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.77 times 0.3?\nAnswer: 39.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h. Let l(j) be the first derivative of j**3\/3 - 4*j - 6. Let b(o) be the first derivative of l(o). Give v(b(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {f: 1, h: 2, r: 2, l: 1, p: 1, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-84)\/(-16))\/((-11)\/(330\/(-45)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 0.05. Let h = v + -0.34. Which is the second smallest value? (a) 2 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -30. Which is the smallest value? (a) -0.1 (b) 2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - ((15 - -97) + 7 + -20)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11207.994 months?\nAnswer: 9.339995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (798\/84)\/((-2)\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 238 - 58. What is the greatest common divisor of h and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*l*o**3*t**2 + 27*l*o*t**2 - 6*l*t**2 - 44*o**5*t - 7*o*t**2 wrt o.\nAnswer: 204*l*o*t**2 - 880*o**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 217658 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -31*m**2 - 5580*m - 376. Give r(-180).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**6)\/(z*z*z*z**(2\/5)*z)*z**(-1\/4)*z*z**(-2) assuming z is positive.\nAnswer: z**(-213\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*h - 34, -5*i = h - 26 + 1. Suppose 6*w - 2*y - h = 2*w, 3*w + y = 15. Solve g - 3*g = w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let g(f) = -f - 1. Let z(c) = c + 2. Suppose 3 = 5*k - 7. Let s(v) = k*g(v) + z(v). Determine s(b(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 14 - 14)*(f - 2*f - 3*f)*(-2 - 1 + 1) to l*f + m and give l.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n - 3. Let b = -3 - -13. Let h = b + 4. Let o(x) = -24*x + 14. Give h*i(d) + 3*o(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 21 = 3*o, -3*m - m - 4*o - 4 = 0. What is the units digit of (-537)\/(-9) - (-1)\/(m\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756514 and 337846?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1820\/9 - 202. Let i = -895 + 2686\/3. Which is the closest to i? (a) 3 (b) 0.06 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slool. Give prob of picking 1 s and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s + 401 - 443 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247048 is divided by 19003.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 7602728?\nAnswer: -7602726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 1. Let n(m) = 2*m**2 - 9*m - 17. Let a(y) = h(y) + n(y). Let s be a(11). What is s rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.051 (b) -3\/98 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j. Let k(a) be the first derivative of 0*a - 3 + 1\/2*a**2. What is y(k(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (-9 + (-5 - -10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = 3*i - 2*p + 81, -4 = 4*i - 2*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19720\/12 - (-2)\/3 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 119 (c) 6\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*f**3 + 85*f**3 - 129*f**3)*(3*f - 5*f + 0*f)*(5 - 5 + 1).\nAnswer: 162*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 102. Let v be h(-21). Let l be 9 + (5\/3)\/(1\/v). Let t = -4 + 32. Calculate the greatest common factor of l and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 493567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a6d6 (base 14) in base 11?\nAnswer: -357797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.09?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*g + 810 - 351 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1608 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 154, 313, 582, 961, 1450, 2049, 2758?\n\"Answer: 55*q**2 - 6*q + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:30 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a + 16\/3*a**2 + 0*a**4 - 4*a**3 + 2\/3*a**5 + 0.\nAnswer: 2*a*(a - 1)**3*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*k + 20952 = 197*k - 77*k. Calculate the remainder when 4849 is divided by k.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (-4*(4 + sqrt(153) + (sqrt(153) - (0 + sqrt(153)))) - (5 + (-5*2*sqrt(153) - sqrt(153))))**2).\nAnswer: -39690 + 4410*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*b - 2*z, 2*b - 7 - 32 = z. Let j = 6 - b. Find the common denominator of (j\/(-154))\/(-1 + (-274)\/(-238)) and 47\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.073 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123601 is divided by 11230.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 193*z**2 + 42*z + 44922. Give f(-192).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. What is the smallest common multiple of b and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esge. Give prob of sequence es.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncnb when four letters picked without replacement from qqcccqcqbncnn.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 14*j + 5*h - 39 = 0, -5*j + h - 8 - 2 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*i. Let w be (14\/(-35))\/((-3)\/i). Which is the third biggest value? (a) 0.4 (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o. Let s(w) be the second derivative of 0 + 3*w + 0*w**2 + 0*w**3 + 1\/12*w**4. What is m(s(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h - 1. What is the remainder when 22 is divided by c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28309, 28311, 28315, 28321, 28329?\n\"Answer: n**2 - n + 28309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.137 - -0.063. Let s = 6 - u. Let h = 71 - 76. Which is the nearest to 1? (a) s (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -421?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.73 + 1.47. Let f = r + -67. What is f rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12020102221002 (base 3) in base 7?\nAnswer: 32443421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -705 times -0.2986?\nAnswer: 210.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6578 and -181?\nAnswer: 6759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -34, -49, -62?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10 + 14 - 11*t**2 - 8*t**2 - t**3. Let y be z(-19). Find the third derivative of -37*s**y + 15*s**4 + 20*s**4 + 8*s**2 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 1 - (4 - 2). Let t(j) be the second derivative of j**3\/6 - 4*j**2 - 2*j. Let l be t(v). Sort -1, l, -3 in decreasing order.\nAnswer: -1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 5*p + 20, -3*b = 3*p + 6. Find the common denominator of b and (11\/86)\/(1\/(-2)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1051 + 1433 - 371 - 133)*(-4*n + 4*n - 2 - n).\nAnswer: -1980*n - 3960","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + u + 6*u - u)*(-3*u**4 + 19*u**4 + 3*u**4).\nAnswer: 114*u**5 - 38*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*v**4 - 3*v**3 + 0*v**4 + 8*v**4 + 60*v**2 wrt v?\nAnswer: -192*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91 - (-12684)\/140)\/(((-8)\/410)\/(-2))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28251 - -0.224.\nAnswer: -28250.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592*a - 205*a - 821*a - 2*a**3 - 6 + 26.\nAnswer: -2*a**3 - 1618*a + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59760*t**3 - 120473*t**3 + 59999*t**3.\nAnswer: -714*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - (sqrt(112)*-2 - sqrt(112) - sqrt(112))*6) + sqrt(112))\/(1*(sqrt(8)*2 + sqrt(8))))\/(4*((-2*sqrt(20) + sqrt(20))*-1)\/sqrt(10)).\nAnswer: 13*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (1 - -10) + 4*(-2)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 0.03 (c) -0.28 (d) -0.4 (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 822 + -14?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16923 + -2030851\/120. Find the common denominator of d and -59\/270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301378?\nAnswer: 2, 7, 11, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*w**3 + 26*w**3 + 87*w**3.\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*o - 8 = 47*o. Let g(t) = -48*t - 25. What are the prime factors of g(o)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**7\/840 + 201*k**6\/80 - 122403*k**5\/80 + 45225*k**4\/2 - 135000*k**3 - k**2 + 31*k + 10. Let n(i) = 0. What is i?\nAnswer: 3, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 33*g**2 - 15*g - 126. List the prime factors of q(44).\nAnswer: 2, 5, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/28)\/(41\/((-4428)\/5)))\/3?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-463 - 75 + 70)*(0*h**3 - 2*h**3 - 5*h**4 + 4*h**4) to the form t*h**4 + y*h + l + x*h**2 + g*h**3 and give g.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007464 rounded to six decimal places?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 0*t + 305226 - t + t - 305226.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180941 is divided by 177.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -361643*n**3 - 139*n - 845 wrt n?\nAnswer: -2169858*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453892 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 3*p**2 - 736 + 46 - p**2 in the form q*p + s + h*p**2 and give s.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 115 = -5*t, 3*j - 92 = -t - 3*t. What is the third derivative of t*r**6 - 46*r**6 + 31*r**6 - 3*r**2 wrt r?\nAnswer: 960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 4, d: 2, r: 3}. What is prob of picking 1 p and 3 r?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-56))\/((-6)\/16))\/((-5)\/(-150)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 1423 + 6083 = 0. Let k = b + -221. What is the highest common factor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/6 + 317*g**2\/6 - 1933*g\/6 + 1615\/6 = 0. What is g?\nAnswer: -323, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 91 and 67136.\nAnswer: 67227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = -20. Let r(x) = 16 + x - s + 5 + 9. Let q be r(0). Solve -4*l = l + q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 - 62607*r + 87093006 = 0 for r.\nAnswer: -22178, 1309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**6\/10 + 5*a**2 - 7*a. What is the first derivative of o(k) wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73)\/(2426155\/(-16558)) + 22\/935?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjjyjokkojovkvovo. Give prob of sequence vkjk.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42188\/85371 + 2\/39?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/15)*i*i)\/(i\/i**(2\/5)*i)*i**(2\/9)\/(i\/i**(-5\/2)*i) assuming i is positive.\nAnswer: i**(-71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1893?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1191*q + 594*q + 595*q = 12 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23268 and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let c be (5\/5)\/(1\/2). Let w(h) = -2*h**2 + 5*h**c - 2*h**2. Calculate y(w(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*30\/(-462)*(-30)\/(-15).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -19, 25, 45, 17, -83, -279, -595?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 6*i + 8. Let d be f(-7). Suppose -t + 1 = -d. Suppose -k + 214 = t*v - 183, 16 = 4*v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1601*f - 4*f**2 - 1599*f - 4*f**3 + f**4 + 10 + 6*f**3 to g*f**3 + k*f + w + c*f**2 + n*f**4 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 4}. What is prob of sequence xxk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 5) in base 6?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 48*v + 25*v = 53438. What is the highest common divisor of 56 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -137008, -136992, -136976, -136960?\n\"Answer: 16*g - 137024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggpgpghgggppp. Give prob of picking 1 g and 1 h.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 12 - 13. Suppose -t - 220 = -2*k, -6*k + c*t = -3*k - 323. Suppose 12 = p - 11. Calculate the remainder when k is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*r**3*v - 181*b**3*r**2*v + 21*b**3*r + 29*b**2*r*v + 2*b*r - 2*r**2*v wrt r.\nAnswer: -6*b**3*r*v - 362*b**3*v - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(513\/19))\/(((-17)\/153)\/(5\/(-3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 9*o - 60 = 0. Solve 0 = -3*d - 3*h - 18, o*d + 2*d - 5*h = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 9:41 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 762721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*q = 16, -3*q - 6 = 2*s - 2. Let p = 7 + s. What is the smallest common multiple of (0 - -6)\/((-9)\/(-6)) and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101232 (base 4) to base 3.\nAnswer: 11012221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by -1\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -12, -10, -5.\nAnswer: -12, -10, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-20)\/800*12))\/((-2)\/(-8))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3418*o + 7296*o - 301*o to the form x + d*o and give d.\nAnswer: 3577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77475, 309956, 697423, 1239876, 1937315, 2789740?\n\"Answer: 77493*r**2 + 2*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = -4*k, -5*k - 2 = 3*f - 3. Suppose 5*u = 3 + f. Let j = u + 7. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4771, 9455, 14053, 18565, 22991, 27331, 31585?\nAnswer: 35753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*((sqrt(133) + (-2*sqrt(133) - sqrt(133)) + sqrt(133) - sqrt(133))*2 + sqrt(133))\/(sqrt(28)\/(2*sqrt(4)) + sqrt(7)) + 2.\nAnswer: 3 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 354 = 94. Suppose -x = -d - 11. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841958209 to the power of 1\/3, to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m. Let i(w) = -4*w. Let x(v) = 3*f(v) - 2*i(v). Let l(b) = 11 + 5*b - 11. Calculate x(l(g)).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8209834616 and -0.0485.\nAnswer: -8209834616.0485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Suppose -p*c - 7 = 3*i - 1, 0 = -4*c + i + 2. Suppose c*x + 3*x - 24 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2034 - 54. Suppose 0*n - 11*n + u = 0. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(275) - (sqrt(275) - (2 + sqrt(275)))) - sqrt(55)\/sqrt(180)*3)*5.\nAnswer: -5 + 45*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -37*g - 87. Let f(u) = 35*u + 85. Let d(n) = 6*c(n) + 5*f(n). What is the first derivative of d(s) wrt s?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 9. Let d(l) be the second derivative of 0 - l**2 + 23*l - 1\/3*l**3. Determine d(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**5\/60 - l**4\/24 + l**3 - 6*l**2 + 2*l. Let c be b(2). Sort -2, c, 2 in decreasing order.\nAnswer: c, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - t + 1. Let d be r(0). Suppose d = -2*a + 4*w - 3, -3*w = -6. Suppose 0 = -7*g + 9*g - 6. Solve -g*i = a - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 14633 + 14646 = 2*y, 6*p + 2*y - 16 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 8) in base 14?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98060 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a1c289 + e?\nAnswer: 2a1c298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -204? (a) -2\/15 (b) -1 (c) 0.06 (d) 4 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-54) + 28\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 94.2*-0.1\nAnswer: -9.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 + (-50)\/(-4). Suppose -t*p + 7839000 = p. Round p to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*m**5 + m**4 + 39*m**5 + 33*m**5 + (2 + 0 - 3)*(-3*m**5 + 3*m**5 + m**5).\nAnswer: 41*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 - -4. What is the biggest value in r, -1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 3. Let z be f(-5). Solve z*j - 3*j = 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56322928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2. Let a = 2 + o. Let d(i) = -18*i + 2702. Let r be d(150). Solve 0 = -z - a - r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**3 - 3*x**2 + 6*x - 7. Suppose 0 = -21*k + 117 + 9. Let j(m) = 11*m**3 + 6*m**2 - 13*m + 15. What is k*j(z) + 13*w(z)?\nAnswer: z**3 - 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.5 + -71. What is y rounded to 0 dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -252 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 221 = 3*a + 118, 2*n = a + 135. What is the highest common factor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-3 - 2*b + 3) + 0*b + 3*b - b + (-1 + 1 + b)*(-2 - 2 + 6) - b + b + 2*b + 0*b + b + 0*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 4*t**2 - 34*t\/5 + 16\/5.\nAnswer: -2*(t - 8)*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64)\/sqrt(2) + -1)*6)**2 - sqrt(192)\/(sqrt(6) + 3*(sqrt(6)*2 + sqrt(6)) + sqrt(6)))*3.\nAnswer: -9516*sqrt(2)\/11 + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09 and 329.\nAnswer: 329.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 25*r**2 - 84*r - 3. Give u(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 718 + -718. Sort -6, 23, n in descending order.\nAnswer: 23, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 957277.7 minutes?\nAnswer: 57436662000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/5)\/a**5)\/(a\/(a\/a**(-2\/7)))**(-9\/2))**(-10))**(-25) assuming a is positive.\nAnswer: a**(-11700\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -3.12?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*r - r + 8, 2*p - 1 = 3*r. Suppose -3254 = -p*o - 4*j, 0 = -6*o + 5*o + 5*j + 674. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -482*n**2 + 491*n**2 + 3*n**4 + 3*n - 2*n to the form p*n + y*n**3 + o*n**2 + w*n**4 + z and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**4\/24 - f**3\/6 + 2*f**2. What is the units digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(396) + (sqrt(396) + sqrt(396) + -2 + -1)**2 - sqrt(396)) + (sqrt(396)*-2*-2)**2 + -3 + -1.\nAnswer: -72*sqrt(11) + 7930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Let n = -503 - -507. Suppose z + 616 = b*s, -n*s - s + 1529 = 3*z. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*27832\/(-8946)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 4*n + 5*n)*(5 + 4 - 15 + (-4 + 1 + 1)*(3 + 0 - 4)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 1)*((1 - 1 - q)*(q + 3*q - 5*q) + q**2 - 4 + 4 + 4*q - 4*q + 7*q**2).\nAnswer: -63*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.3 rounded to 0 dps?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444 + 2341 = 142*z - 108 - 373 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llbfvhe. What is prob of picking 1 l, 1 v, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10101011111101 (base 2) to base 3\nAnswer: 120002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37799148, -37799147, -37799146, -37799145?\n\"Answer: w - 37799149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 771678 to the power of 1\/2, to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - -2. Let s = 0.13 + -1.13. Which is the third biggest value? (a) s (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3180*a + 12698. Determine j(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from cucccuscsuss?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5)*c)\/(c*c**(-1\/10)))\/(c*c*c\/(c\/((c\/c**1)\/c))*c*c**(3\/4)))**28 assuming c is positive.\nAnswer: c**(-1071\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - a - 1. Suppose 0 = -3*o + o + 8, -13 = -3*j - o. Suppose a = -j*f + 19. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-26)*((v**(-5)*v)\/v)\/v*v**(-4\/3) assuming v is positive.\nAnswer: v**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17560 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.72 rounded to one decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.272529503 take away -50?\nAnswer: 50.272529503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s*(s\/(s\/s**(-17\/2)))\/s)\/s)\/s)*s*(s\/(s\/(s\/s**39)*s*s))\/s)\/((s**(1\/2)\/s)\/(s*s*s\/s**(-3))) assuming s is positive.\nAnswer: s**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -3 - (3 - -5)) + 17 + -10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubudbbbbbbdbbbbbd. What is prob of picking 2 u and 1 d?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882548475?\nAnswer: 3, 5, 89, 109, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15838\/41 + -386. Let s = i + 3\/410. Is 1 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(16\/2))\/(80\/110 + (-291)\/264).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -142401403?\nAnswer: 142401431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15\/2 - 25\/2*s + 35\/6*s**2 - 5\/6*s**3 = 0. What is s?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 9:58 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 6*w**2 - 4*w - 1. Let l be v(5). Let r(p) = -p - 1. Let d(y) = 5*y + 7. Calculate l*r(t) + d(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 5. Let a be (-1 - -1)\/(2\/(-1)). Suppose -3*c + 7 + 5 = a. Calculate the lowest common multiple of p and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 448*p + 16173. Give j(85).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - i**2 + 2*i**2 + 13*i**2.\nAnswer: 14*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 4*q + 11*q)*(3 + 1 - 6) - 4*q - 3*q + 4*q to w + n*q and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006713222 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 6:32 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/14)\/(((l**(7\/6)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 703*n + 42170. Calculate b(-60).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448567.\nAnswer: 7, 64081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-19)\/((-1653)\/(-116)) - 90050\/(-24))*4?\nAnswer: 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 5*i**2 + 4*i - 23. Calculate x(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 142\/68)*(-110)\/165. Is 4\/5 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 78*c + 1. Let v(y) = -13*y + 5. What is w(v(s))?\nAnswer: -169*s**2 - 884*s + 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/33 and 1\/65043.\nAnswer: 65043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 3*t**4 + 2*t**2 - 4*t + 6*t - 4*t to n*t**3 + j*t**2 + r*t**4 + k*t + o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 144271991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/453384 and 151\/42942.\nAnswer: 3244869288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhdddhhhdddh. Give prob of picking 2 d.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3145009)\/(-28) - (570\/40)\/19 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -580448.32599?\nAnswer: 580448.22599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -47610 divided by -230?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 37 = -3*o. What is the remainder when o is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 - -277. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26970511 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113262 and 8?\nAnswer: 453048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**9\/2520 + y**5\/30 - 7*y**4\/24 + 12*y**2. Let d(x) be the second derivative of m(x). What is the derivative of d(o) wrt o?\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*g - 936 = 19*g. Calculate the remainder when 595 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 203583.\nAnswer: 0, 2, 203583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2472288206 - -37430443454597\/15140. Let w = s + 7\/757. Find the common denominator of w and -113\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-250)\/(-30) - 8)\/(2\/354). Let h = u - 56. Solve -h*g + 8 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -14465?\nAnswer: -14465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (35\/210)\/((-5)\/6 + 1). Is (-1)\/r*8426\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 0.2, -2\/7, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -164. Let y = j + 49. Let u = y - -121. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27.26 and 9.\nAnswer: -245.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10320 and 3376360.\nAnswer: 20258160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -119655*l - 9. Let v(m) = 5*m**2. Calculate w(v(a)).\nAnswer: -598275*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -0.7. Let s(p) = p**2 + 10*p + 2. Let q be s(-10). Which is bigger: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 3. Let i be 9 + (m\/(-2) - 4). Let u(k) = 2*k**2 - 9*k - 3. Is u(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 (base 9) in base 7?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -27. What is the third smallest value in 0.1, -3, 0.02, u?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/6 + (-18)\/(-27) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtsg when four letters picked without replacement from {w: 1, v: 4, t: 1, g: 2, s: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 16*o - 40. Let p(f) = f**2 - f. Let b(t) = 2*p(t) + y(t). Let d = -2 + 3. Calculate the smallest common multiple of d and b(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*g**2 + 254*g**2 - 507*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 6:17 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*(15 + -16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - -188)\/(1084\/1355)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*a = 5*g + 9, -5*a = -2*g + 15. Solve g*w - 20 = -0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.1 - -71.1. Let t = o + -50.35. Round t to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6312 and -4.\nAnswer: 25248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11432 - 113342?\nAnswer: -101510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 1)*(3 + -4). Let f = q - 63. Let g = f + 93. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 4*l. Determine t(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - 1)*(0*u**3 - u**3 + 0*u**3) - u**4 + 28*u - 1644*u**3 + 2*u**4 + 3406*u**3 - 1668*u**3.\nAnswer: -u**4 + 94*u**3 + 28*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -1)*(-7)\/4*26614098\/(-8379).\nAnswer: 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39534 and 32346?\nAnswer: 355806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 35*o + 10. Let h be q(2). Suppose -25*j = -26*j + h. Calculate the remainder when j is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 17 + -1 + -7 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 141 + 79 = 0. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2009*p**2*t**4 + 2*p**2*t**3 + 17917*p**2*t - p**2 - 4*t**2 + 2*t wrt t.\nAnswer: -48216*p**2*t + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + ((sqrt(1331) - (sqrt(1331) + 1 + 5) - sqrt(1331) - (1 + 1 + sqrt(1331)))*-2)**2) + -5.\nAnswer: 7040*sqrt(11) + 107775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81838.\nAnswer: 2, 17, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -84*i + 97. Is 61 a factor of n(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + -b585?\nAnswer: -b574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - p**2 - p. Let g be j(-1). Suppose 0 = -3*s - g. What is the units digit of (-4)\/((-4)\/(-5))*s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106 times 0.009?\nAnswer: -0.000954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.0831154 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 1, j: 2}. Give prob of picking 1 i, 1 j, and 1 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155 - 93. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23713 is divided by 524.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512375793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -80*i**2. Let w(h) = -2*h + 1. Calculate k(w(t)).\nAnswer: -320*t**2 + 320*t - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 263485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -3617.4.\nAnswer: 3616.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 3:57 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 53 (c) 366 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.847 + 735.153. Let d = -734.897 + t. What is d rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 11*d + 10*d. Find l, given that 9\/2*l**2 + 3\/4 - 3*l**d - 3*l + 3\/4*l**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2*k**3\/3 + 5*k**2\/2 + 7*k + 32. Let j(n) = -n**2 + 4*n + 8. What is 3*j(m) - 2*t(m)?\nAnswer: m**2 + 2*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-58)\/(-18) + -1 - 0\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z\/((z*z**(-1)\/z)\/z)*z*z))\/z*z**(-4))\/((z\/(z*(z\/((z**(-11)*z)\/z))\/z))\/z**8))**1)**(4\/5) assuming z is positive.\nAnswer: z**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-6)*(-13)\/(-2). Let f = r - 9. Suppose 0*t + 92 = f*t. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 960851727*x**3 + 629279399*x**2 wrt x?\nAnswer: 5765110362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90816 a multiple of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-g**5 - 2*g**5 + 6*g**5) + (-1 + 1 - 3*g)*(g**4 + 2*g - 2*g).\nAnswer: -9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95096 (base 11) to base 10.\nAnswer: 138529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 16*u + 6. Let w be t(-16). Factor 12*d**4 + 9*d**3 + w*d**3 - 465*d**5 + 462*d**5.\nAnswer: -3*d**3*(d - 5)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6227 + 5?\nAnswer: 6231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 40. Let r be x(14). Suppose -5*w + 1375 = 5*g, 3*g - 2*w - 1368 = -r*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5435226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46736.36 years to decades.\nAnswer: 4673.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*b + 9 = 6*w, 0 = -5*w - b + 29. Calculate the common denominator of (w\/44)\/(-3)*-111 and 97\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 8*t**2 - 6*t + 27. What is c(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*((w*w**(-3)\/w*w)\/w)\/w*w)))**(-49)\/((w\/w**(-1\/6))\/((w*(w*w**(-5)*w)\/w)\/w*w)))**(-48))**(-16) assuming w is positive.\nAnswer: w**72064","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 2*y**3\/3 - 2. Let r(c) = c**2 - 5*c**2 + 0 + 0. Give f(r(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.3358584 rounded to 0 decimal places?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1 - -1 - (-45)\/(-6).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34163454 >= 34163454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133890 is divided by 366?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-3*v - 3*v + 4*v) - 3*v - 2*v + 7*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) -4\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -29*s**3 + 7*s**2 + 2*s + 6. Let i(x) = -x**2 - 1. Let z(t) = a(t) + 5*i(t). Calculate z(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 905*l - 17. Let h(x) = 4*x - 8. What is -2*h(w) + y(w)?\nAnswer: 897*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -235.8385359 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -7 (c) -1105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let j(y) = 2 + 26*y + 45*y**2 + 38*y - 43*y**2 - 14*y + 0. What is j(k(d))?\nAnswer: 2*d**2 - 50*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -508 - 3*z + 508. Let k(i) = 2*i. What is x(k(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*z**3 - 2*z**2 + 22*z**3 - 40*z**3 + 2)*(3 - 11 + 9)*(5*z - 40*z + 5*z) in the form p*z**4 + l + u*z**3 + c*z + a*z**2 and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21876 (b) 0.01 (c) -44.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 4*g**5 - 13*g**4 + 12*g**3 + 2*g**2 - 8*g - 184. Factor x(n).\nAnswer: 4*(n - 1)**3*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r + 1. Let l = -63 + 72. Let a be l\/(-18)*8\/(-1). Let m = 4 + -3. Let s(h) = h. Determine a*s(z) + m*q(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68981483 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*k - 22, -4*t = -0*k + 3*k - 62. Let q = t - -8. What is the greatest common factor of q and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 6) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13411599 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41191*t**3 + 1 - 1.\nAnswer: 41191*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(500) + 0)*4)**2.\nAnswer: -960*sqrt(5) + 8144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let j be 0\/4 - (-3 - 0). Suppose 2*t = -j + 7. Let x(i) = 0*i**t - i**2 - i**2. What is x(z(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8735 by -3.\nAnswer: 8735\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a**(1\/13)\/a)))\/a)**(-9)*(a**(-18)*a)\/a**(1\/3) assuming a is positive.\nAnswer: a**(-352\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 25. Suppose -35 = 5*y - 10, y = i*f - 25. Let h(s) = 28*s**3 + s**2 - 9*s - 2. Let q be h(f). What is q rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z, 2*t + 2*z - 21 = 5*z. What is the remainder when t is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119.4 + 119. Sort 3, 1, k in descending order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 838 - 584. Suppose 0 = -v + k + 70. What is the common denominator of v\/(-80) - (1 + -1) and -115\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 27, -8\/9, 146?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*l = -2*l + 112, 3*l - 147 = -4*s. Let r = s + -41. Let o(a) = a**3 + 4*a**2 - 4*a + 5. Let c be o(r). Solve c*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 622*i*r + 361*i wrt r?\nAnswer: 622*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*sqrt(78)\/(2*sqrt(150) - sqrt(150) - sqrt(6)))**2 - -6*(6*(sqrt(143) + (-2*sqrt(143) - sqrt(143))))\/(sqrt(1331)*1 + sqrt(1331)).\nAnswer: 96*sqrt(13)\/11 + 181\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 404988. Let j(g) = -3*g. Give j(f(d)).\nAnswer: -9*d - 1214964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 3:51 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/3*(10 - 2787\/(-12)). Let n = 649 - h. Solve n*y + 9 = 12*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 243 + -241. What is the lowest common multiple of 15 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128517812 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/173472 and -103\/12896.\nAnswer: 5377632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 42.4, -3.7, 14\/9?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/12)\/(10 - (-3285)\/(-324)). Let g be 6\/(-15) + (-17)\/(-5). Solve -4*p = -4*i + y, 0*i = -4*i - g*p + 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/15 and 27\/23.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 10*b**2 + 935*b - 6638. What is o(7)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 205, 376, 465, 430, 229, -180?\n\"Answer: -7*n**3 + n**2 + 217*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 0*i**4 + 0*i - 4\/5*i**5 + 4*i**3 - 4*i**2 + 17. Determine a so that o(a) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + -14. Let n = m - -33. Let v(k) be the second derivative of -k**4\/6 - 5*k**3\/6 - k**2 - k. Give v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - 42*p**2 - 6*p**2 - 75*p**2 - 81*p**2 - 12*p**2.\nAnswer: -228*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7\/q*q**3)\/((q\/(q*q*q\/(q\/q**7)*q))\/q**(-1))*((q*q**(-2))**15)**(-5) assuming q is positive.\nAnswer: q**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 459 - 861. Round z to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.6659ng in kilograms?\nAnswer: 0.0000000008526659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.09450894 to 2 decimal places.\nAnswer: -55.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2394 and 179151?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1800*f**4*t - 9*f*t - 2*f - 18*t wrt f?\nAnswer: 21600*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2046 + 5405. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26372*10.\nAnswer: 2.6372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**3 + 35*l**3 + 28*l**3.\nAnswer: 84*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -775131 + -1?\nAnswer: -775132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*h = -q + q - 62, -31081*h + 31086*h + 80 = 5*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4415 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (-9 + 4)) + 35 - (-6 + 0)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 4*a + 57, -4*a - 21 = -q. Solve -j + 4*j + q = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/5 (b) 1\/4 (c) -1 (d) 7 (e) -2 (f) 0.059\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**9\/756 - i**5\/30 + i**3\/2 - i**2. Let a(q) be the first derivative of y(q). Find the second derivative of a(g) wrt g.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23243410 - -5?\nAnswer: -23243402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-1*sqrt(117) - sqrt(117))\/sqrt(9))**2 + sqrt(13))*-5 + sqrt(65)\/(-2*sqrt(500) - sqrt(500) - sqrt(500))*-3.\nAnswer: -1300 - 997*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 35. Put i, -2, -5 in decreasing order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17 and -371202.4?\nAnswer: 371219.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 + 250 - 140*o - 2983*o - 132.\nAnswer: -3123*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 29. Suppose 2*c - z = -2*c. Let x = -15 + 16. Solve -x = 2*j + c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 30*j**3 + 75*j**2 - 40*j.\nAnswer: -5*j*(j - 1)**2*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 203639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -202042 plus 107.5?\nAnswer: -201934.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + 5*a**2 + 5*a - 2. Let b be j(-5). Let d = -194 - b. Let m = d - 52. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1010?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10186)\/(-66)*(10 + (3 - 4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -66. Suppose 0 = q*t + 8, 5*y - 1 = -4*t + 3*t. Solve -z = y - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48971498 is divided by 2215.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 230, 234, 232, 224?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 5*q**3\/3 - q**2 + 61*q - 62. Let t(c) = 13*c**2. What is t(m(a))?\nAnswer: 1300*a**2 - 520*a + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1340.1 - -1069. Let d = 271 + i. Which is the closest to d? (a) 4 (b) 5 (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*v + 3*j, 5*j - 19 = -4. Let m(c) = -5*c**3 + 2*c**2 - 2*c + 1. Let x be m(v). Let t = 3 + 2. Put t, -3, x in ascending order.\nAnswer: x, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 5*g**2 + 12*g - 20. Let j be (4\/3)\/(26\/117). Let d be w(j). What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 51e2?\nAnswer: 51de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138798 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 8. Let m be z(6). Suppose 1226*g - 2*y = 1230*g - 6, 4*y + 15 = g. Put 5, g, 2, m in decreasing order.\nAnswer: 5, g, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*u - 2*u. Let a(v) = 5*v**3 - 2*v**2 - 1. Is a(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0 (c) -46821254 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w + 18*w + 30*w**2.\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -19*h. Let x(m) = -15*m. Let z(s) = 3*c(s) - 4*x(s). Let j(k) = 2*k + 12. Calculate j(z(n)).\nAnswer: 6*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -129*k + 138*k. Let d(l) = -11*l - 52. Calculate d(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:34 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 553 and 2.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*v = 3*f + 19, 4*v = -2*f + 12. Suppose 7*u - 10 = 2*u. Let b(j) = j - j**u - 4*j + 3 - 5. Calculate b(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 6 = 3*s, -113*s + 117*s = -2*k + 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 947437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 2*g**2 + 59*g**2 - 6*g**2 + 15*g**2 to the form o + d*g**2 + t*g and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2012*g - 1848*g - 59460988 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**2 - 10*l**2 + 6*l**2 + l. Let a(r) = 6*r. Calculate z(a(b)).\nAnswer: 108*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -6) + 0 + 5 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w)*(8 - 27 + 0) - 4 + 4 - 2*w.\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 13. Let q be u(13). Suppose -w + 5*m + 13 = 0, q = 5*w + 5*m - m - 36. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 70 = -2*z. Suppose 5*s - 103 = -2*d, 5*d - 3*s + 119 = 330. Suppose 4*b = -4*i + d, -i - 2*i - b + z = 0. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 + 38)*(-3*v + v + v).\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, r: 2, x: 2, y: 1}. What is prob of picking 1 f, 1 x, and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrv when three letters picked without replacement from {v: 4, r: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 732603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 122622784 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5963.8617123 and 373.\nAnswer: -5590.8617123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 1, x: 3, o: 2}. What is prob of picking 3 x and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17282 - 8514 = -2344*b + 18570 + 21266 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2020973624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 129, 701, -4\/95, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ogggmrmhhrhhhmmgggog?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1603, -1454, -1307, -1162?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 3:27 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258649 = 10*k - 214821. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 - 36419*w**2\/5 - 145664*w\/5 - 29132.\nAnswer: -(w + 2)**2*(w + 36415)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/394053 and -133\/143292.\nAnswer: 1576212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1564\/46*15\/66?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 433061859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 149618400 to the nearest 1000000.\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + -12 + (6 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -2559969?\nAnswer: 2559959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 19*k + 52. Let j(x) = 10*x + 27. Let m = 289 - 278. Let l(c) = m*j(c) - 6*w(c). Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5 + sqrt(180) + 2 + sqrt(180)*-1 + -1)*1 + -5)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265411?\nAnswer: 19, 61, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + (72 - 67) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 j when three letters picked without replacement from hjhj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-27 - -2) + (-153 - (90 + -259)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -745*s**3 + 0*s**2 - 2*s**4 + 372*s**3 + 366*s**3 + 23*s + s**2 to the form v*s + b*s**3 + l + i*s**2 + z*s**4 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49, -124, -233, -364, -505, -644, -769?\n\"Answer: 2*l**3 - 29*l**2 - 2*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + 2 + 70805\/(-364). Let l = a + 193. What is the smallest value in -0.2, l, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/54 and 145\/130018026.\nAnswer: 1170162234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 101. Let f = -95.4 - g. What is the fourth biggest value in -1\/8, f, 5, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*sqrt(60)\/sqrt(5) + 5*sqrt(48)\/sqrt(4))\/(1*-4*sqrt(144)))**2.\nAnswer: 97\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 31*x**3 - 8*x + 24*x**3 - 54*x**3 + 10*x**2 to a*x + k + f*x**2 + d*x**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**3 + 2*l**2 - 2*l + 1. Let c be u(1). Suppose -c*x + 25 + 117 = -4*s, -3*s = 3*x + 120. Let o = 56 + s. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 0.031, -0.5.\nAnswer: -2, -0.5, 0.031, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 5, -1 in decreasing order.\nAnswer: 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b5 (base 12) to base 2\nAnswer: 10001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50711445 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -3*z**6\/2 + 5*z**2 + 5. What is the second derivative of g(n) wrt n?\nAnswer: -180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-294) - (-1866)\/(-105)) + 2\/10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5275?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 991*v - 964*v = 540. Calculate the highest common factor of 124 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/30 - 6\/(-4). Suppose b*f = -2*s + 30, 0 = 3*f - 6*f + 9. Are s and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + d + 5. Let o be f(0). Suppose 0*y - o*p = 5*y - 45, 0 = 2*p - 4. Let z = 0 + 4. What is the least common multiple of y and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 24. Let m = -11 + w. Suppose 3*d - 11 = -2. Solve -2*i - m = -d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 334 + 348 = -506 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296487 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j. Let i(w) = 1 + 2*w - 1 + 0. What is i(l(r))?\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 612 and 6339096.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1804938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2519.\nAnswer: 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3125, 4877, 6629, 8381, 10133, 11885?\n\"Answer: 1752*c + 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 34156.334?\nAnswer: -34155.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-10)\/((-4 - -3)\/((-3)\/(-6))) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 133 = -34*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (5 - (7 - (-1 + 3))) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5561*j + 63516 + 59939 + 65619 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 2. Let z be x(0). Let w = -1 - -5. Suppose 0 = -2*q - 0 + w. Solve -2 = -2*d - 4*h, 3*d - d + z*h = -q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Let k = -5 + w. Let y be 3\/((k\/(-1))\/(-2)). Put 3, -1, y in increasing order.\nAnswer: y, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.14 - -0.14. Let n be (-4)\/(-10)*9\/(-18) + -11. Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2403 + -2760. Is -357 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -4. Suppose -2*g - 3*g = f*l - 16, -5*g - 4*l = -22. Solve -5*x + 12 = h - g*x, -3*h - 2*x + 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllillll. Give prob of picking 3 l.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 40 = 3*b + 2*b, 2*b - 8 = 0. Suppose -l*o = -u - 2, -o - 8 = 5*u + 2. What is the nearest to -1\/3 in u, -3\/11, 2\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijjiiijjjq. Give prob of sequence iiii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090294?\nAnswer: 2, 433, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 438445?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 4) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/14 + 2*3\/(-42). Let b be n + -4 + 5 + -2. Is 5\/18 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4*x**3 - 1969*w**3*x**3 + 29*w*x**3 + 4*x**3 - 3*x**2 wrt w?\nAnswer: 12*w**2*x**3 - 11814*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-4)*q)\/q)*q**(-3)*q**(2\/11)*q*q\/(q\/(q*q*q*q**(-1\/5))))**(14\/9) assuming q is positive.\nAnswer: q**(4606\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 199, 788, 1999, 4054, 7175, 11584?\n\"Answer: 37*n**3 - 22*n**2 - 4*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/(-5)*(107 + -112) - -2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*j**2 + 41*j**2 - 39*j**2 - 22*j**2 - 34*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146\/24571941 or 0?\nAnswer: -146\/24571941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -222?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -369*n**3 + 11*n**2 - 1043*n - 2?\nAnswer: -2214*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -d - 0*d. Let m be (0 + 1)*(20 - 8). Solve -4*z + d = -z, m = 2*x + 2*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 15*d**2 + 5*d + 35. Is c(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -18, 1.3, -5, -3\/8?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*x - 63*x - 22*x.\nAnswer: -140*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 0 + 3 - 1. Suppose 4*u = f + 1, -u + 3*f - 12 = -4*u. Let g(z) = -1. What is u*b(d) + 2*g(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/500 and 107\/377900.\nAnswer: 1889500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**3 - 97*c + 191*c - 94*c.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 5. Determine r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bc8f6 + -5?\nAnswer: -2bc8fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.09 (b) 1 (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -58, 5, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*i - 7*i + 12*i + 3*i.\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 887 - 890. Let h(a) = 7*a + 5. Let m be h(-5). Sort k, -5, 2, m in increasing order.\nAnswer: m, -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.218 - -20.08. Let u = 0.138 + x. Which is the smallest value? (a) 0.2 (b) u (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(1\/77)\/(112\/196)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 339, 508, 677, 846, 1015?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - (sqrt(147) - -1*sqrt(147))) + 1 + sqrt(147) + sqrt(147))*5 + 1)**2 + 2.\nAnswer: 420*sqrt(3) + 3713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14088 plus -39931.5?\nAnswer: -54019.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - i - 10 = 0, 0 = 3*u - 5*i + 52 - 11. Let c be -17*14\/(-1666) - (-22)\/u. Let z be ((-9)\/15)\/((-3)\/2). Sort c, 1\/6, z in decreasing order.\nAnswer: z, 1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 561*x. Let b(t) = -t. Determine i(b(s)).\nAnswer: -s**2 - 561*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8\/r*r)**8)**(-15) assuming r is positive.\nAnswer: r**(-960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*v - 84 = 105*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -253*r - 1706. Let z be j(-7). Solve z*p + 41 = -24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 3*i. Let b be 0 - 2\/6*3. Let p(s) = 2*s + 24. Let r be p(-10). Let v = b + r. Let m(d) = 2*d**2 + 4*d. Determine v*m(h) + 4*y(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -4, -0.5, 68, 1, 4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -27, 46, 0.2, -2\/7, -3\/2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**3 + 25*s**2 + 4*s - 23. Let q(y) = 4*y**3 - 13*y**2 - 2*y + 12. Let k(o) = 5*q(o) + 3*u(o). Determine k(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 64 = 2*b. Suppose -h = j + 4*h + b, -3*h = 3*j + 9. Calculate the highest common factor of j and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*k**3 - 234*k**3 - 187*k**3 + 868*k**3 - 232*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.694929 years in months?\nAnswer: 56.339148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 15*o - 10. Let w = -8706 - -8717. Calculate c(w).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 0*o + 80 - 164 + 84 - 5*o. Let a(x) = 56*x**2 + 16*x + 16. Let c(t) = -11*t**2 - 3*t - 3. Let b(h) = 3*a(h) + 16*c(h). What is d(b(k))?\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -386*h**2 - 687896*h - 255741449 wrt h?\nAnswer: -772*h - 687896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -95.\nAnswer: -23\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eektkttettemetts.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*k**3 + 0 + 19\/2*k**2 + 0*k.\nAnswer: -k**2*(k - 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 256.02 + -255.92. Which is the closest to 2? (a) -0.3 (b) 9\/19 (c) 2\/5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4) - (7\/2 + -2) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 84. Suppose k*l + 30 = 3*u - 0*l, -l + 3 = 0. Solve 3*s - u = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/12 - 8\/(-3). Suppose -c = 3*d - 8*d + 125, j*c + 87 = 3*d. Suppose 0 = 2*l - d - 10. What is the remainder when 48 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7254991 rounded to 3 dps?\nAnswer: 25.725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 7*x**2 - 7*x - 7. Let d be s(-6). Is ((-95)\/2)\/(d\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/646 and 5\/61183.\nAnswer: 2324954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.649 times 0.7297?\nAnswer: 66.8762753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13b0 (base 12) to base 4\nAnswer: 203310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -1020710?\nAnswer: 1020710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*k + 7057 = 0, -3*k + 7639 - 607 = 3*d. Calculate the greatest common factor of 81 and d.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j - 6401 - 24574 = -110*j. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/5)\/(-6)*8\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 3 = 5*i. Suppose 5 = -k - n, -i = -3*n - 19. Let d(j) be the second derivative of j**4\/4 - j**2\/2 - 3*j. Determine d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-10))\/9*-1*44\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -81, -39 in ascending order.\nAnswer: -81, -39, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.83, 0.3, 0, -1\/16, 1\/4 in descending order.\nAnswer: 10.83, 0.3, 1\/4, 0, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 6, r: 1, e: 2}. What is prob of sequence rwe?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: How many centimeters are there in 1.130529 meters?\nAnswer: 113.0529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24599 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 8*h + t - 11, -10 = 2*h - 2*t. Let r(c) = -8*c + 3. What is r(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16423751 and 0.4.\nAnswer: 6569500.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 46 - 45 - ((11 - 3) + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16442 is divided by 5471?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 28*m**3 - 2*m**2 - 2*m - 1. Determine q(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 + -0.05. Let j be 1\/(-6)*(2 + -6). Which is the third biggest value? (a) -2 (b) f (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 135 + 65 = 0. Let j be (m\/(-50))\/(2\/(-25)). What are the prime factors of (-178)\/j - 8\/(-40)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2043900.3 rounded to the nearest 1000?\nAnswer: -2044000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-12 - -31) - 36 - (3 + -4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 11) to base 10.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 + -85. Calculate the least common multiple of 20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 40*x - 31*x - 51*x - 36*x - 3 - 32*x + 185*x.\nAnswer: -5*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -79528 * 8\nAnswer: -636224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 7:18 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 93*l + 5)*(-4 - 5*l + 4)*(-10*l + 9 - 9).\nAnswer: 4650*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 < 709\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 4:16 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 77471 (base 10) to base 3\nAnswer: 10221021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 5*r + 5. Let i be m(4). Suppose x = 2 - i. What is the units digit of 3\/(-3)*x*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in 2, -1, -4\/9, 0.017, 0.8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/2, 96 in decreasing order.\nAnswer: 96, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -8, -2*t + 5*t - 6 = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -2*m**3\/33 + 6*m**2\/11 - 10*m\/11 - 17. Factor p(x).\nAnswer: -2*(x - 5)*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -47.7, -0.117024.\nAnswer: -47.7, -4\/7, -0.117024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/10 + 12438\/90 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0*g)**(-11\/7)\/(g*g**2*g*g\/(g**(-1\/3)\/g)*g))**47)**(9\/4) assuming g is positive.\nAnswer: g**(-26367\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-407)\/407*(-26)\/(-10)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(38) - sqrt(38)))\/(sqrt(128) - -1*sqrt(128)).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/52 - 2\/(1 - 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 0*r**2 - 4*r**3 - 2*r**2 + r**3. Let a be w(-1). Suppose 0 = g + g - 12. Solve -a*c = -2*t - g, -3*c + t = -0*t - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 7*r**2 + 11*r. Let w be z(5). Solve 0 = -w*x + 4*j - 2*j + 29, 3*x = 4*j + 23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546594547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/4 + 5*j**3\/3 + 4*j - 233. Let v(c) = -c + 4. Let f be v(9). Determine z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j + 3*j - 4*j)*(-2 + 3 + 1) + j - 3 + 3 - 4*j + 9*j + 0*j)*(-j**3 - 5*j**3 + 3*j**3 - 4*j + 4*j + 2*j**3 + (-5*j + j + 3*j)*(0 - 3*j**2 + 0)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2732)\/(-20415) + (-260)\/1950. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z + 1931881 = 602344 - 1211466. What are the prime factors of z?\nAnswer: 44579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/11 (b) -0.176 (c) 2\/5 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 4*(2*sqrt(171) + sqrt(171)))\/(sqrt(1296)*2 + sqrt(1296) - sqrt(1296)).\nAnswer: -11*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365, -742, -1121, -1502?\nAnswer: -1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31331 and 646.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*s = 12, -9*m - 15 = 3*s - 21 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2 - 3*g. Let u(i) = -6*i**2 + 4*i. Suppose 0 = 19*y + 114 - 38. What is y*j(l) - 3*u(l)?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044886 to five dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*k + 4*k**2 - 29*k - 23*k - 9*k**5 wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 4*i**2 - 3*i + 2. Suppose 60 = 4*y - 16. Let l = y - 12. Calculate the remainder when w(-3) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dyaadyadyaaaaada.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - 31*b - 21. Let f be s(11). What is the highest common divisor of 4 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4)*204\/(510\/(-5)))\/((-2)\/(-48))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 3, 11, 1\/6, -100, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38311800 rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14816559 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 r when four letters picked without replacement from krkrr.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -17741863.\nAnswer: 14193490.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 373, 455, 225, -497, -1891?\nAnswer: -4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8.07 (b) 5 (c) -5 (d) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 37*h - 2832 = -17*h. Calculate the smallest common multiple of 531 and h.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3756710 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q + 6 = 0. Let u(l) = 22*l + 1. Let p(j) = 35*j + 1. Let o(n) = 2*p(n) - 3*u(n). Determine o(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 47642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/50)\/(-1) - 13\/(-26). Let t = 59\/150 - z. Which is the nearest to t? (a) -6 (b) -1\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153430 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: Let 182*p**3\/9 - 11404*p**2\/3 - 7768*p - 1520\/9 = 0. What is p?\nAnswer: -2, -2\/91, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*b - 3*y, 4 = -3*b - 3*y - y. Solve b = -i + 5 - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6332, 6339, 6338, 6329, 6312, 6287, 6254?\nAnswer: 6213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -8*t - 2*t. What is the closest to -2\/3 in 0.2, -7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229898 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1064*d - 20226. Give x(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:14 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 96\/19, -0.5, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 18*h**2 + 391*h + 1212. Calculate v(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 8\/87, -26\/3 in decreasing order.\nAnswer: 8\/87, -2\/7, -26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12592512 and 1104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 77*l. What is o(1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -6\/7, 14\/3, -1.1, 6, 4 in increasing order.\nAnswer: -1.1, -6\/7, 1\/7, 4, 14\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (912\/19)\/(-16)*12\/(-468)*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) + 2224\/56. Let g(v) = 2*v + 37*v**2 - c*v**2 + 0*v**3 - 4 - v**3. Let q = -8 - -5. Give g(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 93589.57?\nAnswer: -93589.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1280*i**4 + 138*i**2 + 3402621*i wrt i?\nAnswer: -15360*i**2 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/6)\/((-3480)\/464)*((-18)\/104)\/(-1)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299\/(2 - -2 - 3) a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -0.1 (c) -1\/2 (d) -9.7 (e) 210\/11 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-4 + 0 - (sqrt(78)\/(-3*sqrt(6)))**2.\nAnswer: -4*sqrt(13) - 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/5458337 and 74\/13527183.\nAnswer: 311125209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 86568 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3133*o**2 + 2381*o - 1. Is a(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87539 divided by -8?\nAnswer: 87539\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 u when four letters picked without replacement from {h: 2, u: 11}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19723720 divided by -20\nAnswer: 986186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9860.\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**3\/9 - 266*m**2\/3 + 70756*m\/3 + 2086. Factor x(o).\nAnswer: (o - 266)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14149 - -1.\nAnswer: 1.14149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2305 (base 13) to base 12.\nAnswer: 2a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 43159 = 26768. Suppose -4612 = -7*a + g. Find the first derivative of -11 + 1567*z - a*z - 40*z**2 wrt z.\nAnswer: -80*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 - 12*q - 7. Let m(d) = -3*d**2 - 6*d - 3. Let u(b) = 9*m(b) - 4*y(b). Suppose -l - 7 = -2*c, -14 = -3*c + 2*l - 5. Give u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ab + -233b2?\nAnswer: -23305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 15*s = -3932. Let u = s - 676. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6942652 centuries in millennia?\nAnswer: 0.06942652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.386 - 3.614. Suppose -z + 0*z = 0. Which is the nearest to f? (a) 3 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1935 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.51 + 1.4. Let g = k + 0.21. What is the closest to g in -3, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1457 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 207*d*o - 83*d wrt o?\nAnswer: 207*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 3*b + 12. Suppose 3*r + 8 = 2*y - 7*y, -3*y - b = 2*r. What is the closest to 0 in r, -5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6633 is divided by 6605?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4552 - 4546. Sort o, -0.4, 63.\nAnswer: -0.4, o, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sby when three letters picked without replacement from zzwwszyswbzszzzszzz?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:10 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 3:44 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12228886 divided by -302.\nAnswer: 40493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(74\/555) - 8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40503376*f**3 - 14262736.\nAnswer: 121510128*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/5, 1, 2\/115, 0.5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 18*h - 16. Determine a(-18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2))**31*(((x\/((x**(-1)\/x)\/x))\/x)\/x)**(2\/79))\/(((x*x**(1\/11))\/x**(4\/7))\/((x**(-1\/2)*x*x)\/(x**2*x*x))) assuming x is positive.\nAnswer: x**(-112346\/6083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - a + 214 - 225, -6*a = -2*p - 25 + 143 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-100))\/(((-39)\/(-10))\/1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3224917363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1484*k - 711504 = -204*k - 4144*k for k.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13*o + 1092*o**2 - 2144*o**2 + 1051*o**2 - 17. Calculate z(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:29 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24153 and 3486?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/44)\/((-51)\/187)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86922 is divided by 701?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 444.\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110100 (base 2) in base 13?\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - (-2)\/(-6). Let b be (-1)\/(r - 6\/(-8)). What is the second derivative of 3*y**4 + 2*y**4 - 3*y**b - 2*y wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1147\/2957 in -1\/3, 1\/3, -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80572 + -70988.\nAnswer: -151560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**0\/h)*h*h)**(-7)\/(h*h**2*h*(h\/(h\/(((h*h*h**1*h)\/h)\/h)))\/h*h)*((h\/h**9*h)\/h*((h*h*h**1)\/h)\/h)**(-34\/5) assuming h is positive.\nAnswer: h**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - d = -6, 7 = 5*d - 3. Suppose 5*p = -z*m + 180, 5*m + 3*p - 88 = 362. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -0.23.\nAnswer: 2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1 + (-1 + 2 + 1)*(1 - 1 - 1))*(11*z**2 + 40 - 40) to n*z**2 + l*z + m and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(5\/214)*(-13085)\/2617?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01194323 to five dps.\nAnswer: -0.01194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-17\/2)\/z**(-1\/2)*(z**(1\/13)*z)**(-40) assuming z is positive.\nAnswer: z**(-664\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - 278?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 111102331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-8))**(2\/9))**(6\/25) assuming w is positive.\nAnswer: w**(12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byyfe. Give prob of picking 1 y and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -9*r + 253. Solve -5*t = 2*s - r, 0 = -2*s + 5*t - 1 - 22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z - 5. Calculate g(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5783051555.\nAnswer: 5, 691, 809, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + ((-23)\/2 - 0) and -5*1133\/(-1310) - 4?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*2*(-64)\/416*26.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 615? (a) -3\/5 (b) -12 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/2 + (-7)\/(-2) + -4. Suppose -3*l - w*o = -24 - 0, -3*l + 20 = 2*o. Solve i - l*z = 1 - 2, 0 = 5*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 4, -4*o + 28 = 4*f. Let j be (-3 + (o - -3))*7\/3. Solve -2*k = j*k - 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 53*l**2 - 34*l - 23. Is z(54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7560 + -47?\nAnswer: -7617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2 + 108\/52). Suppose 3*y - 434 = 4*k - 106, 0 = 4*y + 4*k - 400. Calculate the greatest common factor of y and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/14)\/((-1*4)\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**7)\/u*u*u**6\/u)\/(u**2\/u)**(2\/7) assuming u is positive.\nAnswer: u**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Suppose g - 55 + 18 = 0. Suppose b*z = 5*z - 3*l - 22, 0 = -5*z + 3*l + g. Solve 3*p = z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 z when three letters picked without replacement from eezeeeeeze.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -30, -543 in descending order.\nAnswer: 64, -30, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*(m\/(m*m*m**(-3)))\/m*m*m*m))\/(m*m*m**(-3))*m**(1\/3)*m*m*m*m**(1\/8) assuming m is positive.\nAnswer: m**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(192)*5)**2 + -4 + 2*sqrt(3) + sqrt(3) + (sqrt(75) + 0 - sqrt(3))**2.\nAnswer: 3*sqrt(3) + 76844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - p**4 - p**3 - p**4)*(-3 - 2 + 2).\nAnswer: 6*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*d - 13, -d = -5*z - 8. Are z and 2\/163 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 216*s - 63 - 1343 + 110 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*u = -157*u + 322*u + 162 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - 5*m**3 + 3*m**4 + m**2 + 0*m**4 + m**2 to the form k*m**2 + l + g*m + w*m**3 + z*m**4 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*c - 74*c = 162. Solve -c*b + 17 + 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20190 + 1.777818?\nAnswer: -20188.222182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 90\/431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27135 = k + 2*a, -334*k - 3*a - 108485 = -338*k. List the prime factors of k.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -1187, -3999, -9475, -18503?\nAnswer: -31971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 + 3*q - 873*q**2 + 2*q - 3*q + 862*q**2 as b + o*q**2 + r*q**3 + p*q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 6) to base 5\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 less than 1477.7740772656?\nAnswer: 1455.7740772656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 4:30 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:27 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) 8 (c) -2\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2426765?\nAnswer: 5, 11, 44123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -39) + (1220 - 1282).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 32. Let b(a) = 0*a - a**2 - 6 - c*a - a. Give b(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 divided by -33.\nAnswer: -73\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2255325, 2255361, 2255401, 2255445, 2255493, 2255545?\n\"Answer: 2*w**2 + 30*w + 2255293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 89*d**5\/20 - 11*d**4 - d**3\/6 + 40*d + 1. What is the third derivative of w(g) wrt g?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7285563\/4584104 - -2\/81859. What is the common denominator of s and 45\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:38 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 11*l - 6. Let i be m(-11). Let y(k) = -4*k + 11. Let d(o) = -o + 1. Let x(v) = i*d(v) + y(v). Determine x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, p: 2, f: 4}. Give prob of picking 1 f and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-80))\/(45\/(-60)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332520 by -33252.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00200888121 to five decimal places.\nAnswer: 0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 4*p**2 - 5. Give l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (59\/177)\/(112\/384)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 297530948 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 - 28684*a**2\/9 - 47576576*a\/9 + 146747597504\/3.\nAnswer: -2*(a - 2946)*(a + 8644)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 - 125 = -5*f + 2*a, -3*f + a = -184. Suppose 5*s - 93 = -3*z - 0*z, 2*z - f = -4*s. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 310*c + 423437 - 451647 for c.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 - 6*g - 7. Let v(n) = -n - 1. Let a = 5266 + -5265. What is a*y(c) - 4*v(c)?\nAnswer: 9*c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 3, -21, 0 in increasing order.\nAnswer: -21, 0, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796230?\nAnswer: 2, 3, 5, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -323\/94 + 41791\/11656. What is the common denominator of -19\/31 and p?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -1\/3 (b) -1\/4 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 1, -1, 291, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005352 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/407? (a) 0.2 (b) 0.112 (c) -0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 23*p**3 - 22*p**2. Let m(r) = -46*r**3 + 43*r**2. Let c(h) = 9*j(h) + 4*m(h). What is the third derivative of c(q) wrt q?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q = 17*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*b - 7 - 14, 13 = -m + 2*b. Let q be 3\/(-1)*7\/m. Let w(k) = -2*k + 19. Let l be w(q). Solve 12 = -5*g + 5*x - 8, l*g = 2*x - 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -63. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-338)\/(-84) + -4). Calculate the common denominator of (6\/(-56))\/(b\/(-80) + 1) and 38\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o. Let v(i) = 0*i - 5*i**2 + 4*i - 4*i. Determine g(v(c)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -122*243\/(-34587)*(-476)\/3\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1849 - 1850 + 17*u + 5553 + 38*u**4 - 1856 + 6*u**3 to the form b*u**4 + f*u + y + t*u**2 + a*u**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0\/(-1) - (-52)\/(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**6\/120 - w**5\/3 - w**4 + 2*w**3 + w**2. What are the prime factors of m(-19)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -9*m - 11. Let h = 13 - m. Solve -2*j + 43 = h*f + 16, 6 = -4*j + 2*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1337*n**2 + 17*n - 14. What is the units digit of a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -425, -939, -1655?\nAnswer: -2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(5 + (-174)\/30). Solve -4*i + 6 = -3*v - 16, f*v + 12 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1064, 2160, 3232, 4268, 5256?\n\"Answer: -2*x**3 + 1110*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/3 + 7\/12. What is the nearest to -0.2 in 0, f, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*s - 205832 - 570550 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1.11 (b) -27 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 1. Let a be x(-1). Solve 3*d = 3*s + a, -s - 3*s - d = -16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -396459\/5 or -79292?\nAnswer: -79292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -230*c**3 + 228*c**2 + 2*c = 0.\nAnswer: -1\/115, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:04 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -0.03, -3, 1\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -61. Is 61 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 344032*v**3 - v - 344001*v**3 - 2*v - 2 in the form x*v**2 + d + z*v + g*v**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/12 + 999*a\/2 - 2996\/3.\nAnswer: -(a - 5992)*(a - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 + q - 1. Let n(m) = -25*m**2 + 14*m + 7. Let h(f) = 5*d(f) + n(f). Factor h(o).\nAnswer: -(o - 2)*(10*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0*w - 13\/3*w**3 + 0 - 152*w**2 - 1\/12*w**4. Let l(t) = t**2. Determine l(r(j)).\nAnswer: 4*j**2 + 104*j + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6000647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -a28c56?\nAnswer: -a28c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 249069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s**2 + 9*s + 92 - 3*s**2 + 7*s**2 + 2*s**2 - 90. Give z(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/89)*n)\/n**(3\/17)*n**(-29)\/(n*n**(-3\/31)) assuming n is positive.\nAnswer: n**(-1315968\/46903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from aaaaaiaibabaa?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 540790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -4, -k + 10 = 3*w - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -8 + 1\/6*r**3 + 1\/20*r**5 - 1\/2*r**2 + 3*r + 1\/12*r**4. Let w(a) = -2*a**3 - 6*a**2 - 6*a + 6. Calculate -6*s(l) - w(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4600572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(10) - -2*sqrt(640)) + sqrt(480)\/sqrt(3))\/((sqrt(180) + sqrt(180) + -6*(sqrt(180) + sqrt(180) + 1*sqrt(180) + sqrt(180) + sqrt(180)))*-5).\nAnswer: -3 + sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) + -2) - 6*(sqrt(19) + -1).\nAnswer: -9*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/20561?\nAnswer: 1\/20561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 3:32 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*f - 33. Let a = f + -9. What is the third derivative of -3*j**2 + 4*j**2 - 19*j**6 + 0*j**a wrt j?\nAnswer: -2280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -44*k. Let x(y) be the third derivative of y**5\/12 + 36*y**2 + 15*y. Determine g(x(h)).\nAnswer: -220*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:56 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4 - 3\/(-6). Let d = -1.6106 + 1.1106. Which is the nearest to 7? (a) d (b) j (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 3, p: 9, c: 6}. Give prob of sequence acap.\nAnswer: 9\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100336741801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x**2 + 41*x + 16. Let l(s) = -217*s**2. Give n(l(q)).\nAnswer: 565068*q**4 - 8897*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 811 or 1?\nAnswer: 811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002609 rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4610*c**3*t**3 - 31*c**2*t - c - 13*t**3 wrt c?\nAnswer: 27660*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 864 and -0.02.\nAnswer: -17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -444304511?\nAnswer: 444304515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19036, -38071, -57108, -76147, -95188, -114231?\n\"Answer: -b**2 - 19032*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 44*s**2 - 102*s + 465. What is c(46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 34677?\nAnswer: -34682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938550 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1c6b (base 16) to base 4\nAnswer: 1301223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1782*r + 14266. Let t be s(-8). Solve 4*q = -2*o + 6*q - t, 3*o + 15 = q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from prxgr. What is prob of sequence xrgp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - 2*a**5 + 6*a**5 + (4*a**2 - 4*a**2 - a**3)*(0*a**2 + 0*a**2 - 2*a**2).\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 4c?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u + 13*u**3 + 0*u - 56*u**3 + 32*u**3 + 13*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1353 in -0.5, -6\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, 7, 3, -2, -3593 in increasing order.\nAnswer: -3593, -10, -2, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 41*w**3 - 5*w**2 + 58*w - 5. Let v(m) = -61*m**3 + 8*m**2 - 87*m + 8. Let p(c) = -8*d(c) - 5*v(c). Find the second derivative of p(r) wrt r.\nAnswer: -138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-26)*l)\/l)\/l**(1\/8) assuming l is positive.\nAnswer: l**(-201\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40\/12*(24 + -17)*(1 + -4)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -9*h**2\/2 + 4*h - 9054. Let t(k) = -k**2 - 28*k + 13. What is 7*c(u) - 2*t(u)?\nAnswer: 2*u**2 - 7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3947670.\nAnswer: 2, 3, 5, 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40050920 is divided by 34408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2010, 2011, 2012, 2013?\nAnswer: 2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*x**2 + 2 - 8 - 28*x**2 + 28*x**2 to q + n*x**2 + b*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21648175*m**3 + 11525824 wrt m?\nAnswer: -64944525*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9. Suppose x = 2*f - 11 + 1. Suppose o = -0*o - 2*c + 20, 4*o - 65 = -f*c. What is the remainder when 37 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 7*s - 4. Is q(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7796, 15594, 23392, 31190, 38988, 46786?\n\"Answer: 7798*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = 12*p + 78 - 133 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2 - 8 - u + 2 - 10. Let v be k(-13). Let d be (-4)\/6 - 32\/(-66). Which is the nearest to v? (a) 1 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 641.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from bdsqbqbdsqkqbqqqbq.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-3*j - 4*j + 5*j) - 2*j - 3 + 3 - 5*j + j + 2*j + 316*j + 9*j - 107*j.\nAnswer: 210*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3512 = 6*p - 1174. Let d(s) = 5*s**2 - 54. Let c be d(-5). What is the greatest common divisor of c and p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 404 = -32*o, 2*o + 115*r - 125*r = -74 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 2*l + 224. Suppose l*q = 332 + 1396. Calculate the lowest common multiple of q and 16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 2*g - 17*g**2 + 312*g**2 + 90*g**2 - 3 to the form w*g + i + v*g**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 229280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a (base 16) to base 5.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*r + 224 = 84*r - w, 3*w - 120 = -3*r. Suppose 154 - r = 22*l. Solve 11 = -3*h + 6*h + 4*p, 3*h = l*p - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*n - 0*f + 22, 0 = 3*n - f - 18. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185\/52 less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - -111. Suppose u*n - 26*n = -3. Solve n*q = -8 - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9801.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 - 77*x - 1. What is s(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 30307.46 seconds?\nAnswer: 30307460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**3 - 18256*f**2 - 274876*f + 622744 = 0.\nAnswer: -17, 2, 4579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*b - 32, 7*b - 5*b = -5*j. Suppose -252 = -b*a + 16*a. Let h be (-54)\/a + (-2)\/7. Solve -4*i + h = -4*n + 21, 3*i = -5*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/2)\/((h*h**6)\/h)*(h\/(h**1*h))**(-2\/13) assuming h is positive.\nAnswer: h**(-191\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-35)\/(-195)*4\/(-110)*(-220)\/(-20)\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -203, -597, -1335, -2531, -4299?\nAnswer: -6753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4027.719 rounded to the nearest ten?\nAnswer: -4030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -771\/241 or -4?\nAnswer: -771\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-113928)\/470)\/101)\/(3\/10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, b: 5, x: 10}. What is prob of sequence bxx?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7493787322 + 0.129.\nAnswer: 7493787322.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 23*m - 1. Calculate q(-2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27766*t + 2052 = -27712*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 77*n**5\/60 + n**4\/6 - n**3\/6 + 13*n**2. Suppose 2*q = 3*x - 5, 5*x - 7 = -q + 3*q. What are the prime factors of y(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3555, 3564, 3575, 3588?\n\"Answer: k**2 + 6*k + 3548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34761\/1372 at most 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 8*x + 4. Let b be z(3). Let c = b - -7. Calculate the remainder when 83 is divided by (-474)\/(-39) - c\/(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -19. Let l be 4 - (h - 2) - -4. Factor 4\/9*u**2 + l*u**3 + 10\/9*u**5 + 0 + 8\/3*u**4 + 0*u.\nAnswer: 2*u**2*(u + 1)**2*(5*u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2*sqrt(600) - sqrt(600))*1)\/((sqrt(1728) - 2*sqrt(1728))*6) + -2)**2.\nAnswer: 25*sqrt(2)\/6 + 1777\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.53643 - 0.03643. Which is smaller: q or -0.087?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175*f**4 - 114*f - 2?\nAnswer: -2100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + k. Let f(r) = r**2 - 3. Let j(a) = f(a) - 2*m(a). Let p = 6 + -3. Let o = -7 + p. Calculate j(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2244, -4582, -7004, -9510, -12100, -14774?\n\"Answer: -42*w**2 - 2212*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2268 and 56.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6711.79785 to the nearest ten.\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 - -155. Let o be 2 + (n + 4\/12 - 3). Which is the closest to -1? (a) 5 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -156726 from -0.49.\nAnswer: 156725.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -112 + 1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19100692.\nAnswer: 2, 13, 367321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -290195 divided by -58039\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24509903 is divided by 6127473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13034936 greater than or equal to 13034936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 5*y + 7. Let n be v(-6). Suppose -i + 3 - n = 0. Suppose -2*h + 28 = i*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48714 divided by 9.\nAnswer: 16238\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8347*k + 2052. What are the prime factors of r(-4)?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/30 and -19\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 240\/1120*(-19)\/(-3) and -41\/38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -49 (c) -7 (d) -1\/32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - d**2 + d + 1. Let t(s) = 7*s**3 - 12*s**2 + 10*s + 6. Let x(h) = 6*k(h) - t(h). What is the units digit of x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 67. Let o be d(-13). Let u be 2 - ((-2)\/(-10))\/(4\/70). What is the closest to -0.04 in u, 2\/13, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-one fifths of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.36 - -4.06. What is the nearest to 0.2 in 2\/19, 0.24, v?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3966651 is divided by 1739.\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -5*s + 185, n + 48*s + 37 = 24*s - 14*s for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -8176271?\nAnswer: -8176271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 178*s - 2. Let d be l(1). Let p = 342 - d. Suppose -4*m + 606 - p = 0. What is the highest common divisor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -558, -4, 17 in descending order.\nAnswer: 29, 17, -4, -558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -369 - -420. What is the remainder when 200 is divided by y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.638339 take away 195.5?\nAnswer: -194.861661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -45. Let c be h + -2 - 15\/(-5). Suppose -c*z - 2*z - 32 = 0. Do -7 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4116 divided by 2058.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24304 + 534791\/22. Let g be 68\/(-50)*(-64830)\/24. Let w = 3678 - g. Calculate the common denominator of w and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 15) to base 9\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2)**2 + sqrt(114)\/sqrt(150).\nAnswer: 41*sqrt(19)\/5 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5 + 16*n**4 + 257*n**3 + 1032*n**2 + 1296*n = 0. Calculate n.\nAnswer: -4, -3, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11533142 (base 8) in base 9?\nAnswer: 4686163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 30 = -5*y, -y - 27 = -2*u. Let b(v) = -82*v - 3 - 3*v**2 + 2*v**2 + 91*v + u. Let z be b(10). Sort -7, z, -4 in descending order.\nAnswer: z, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/720 + f**4\/8 - 5*f**2. Let t(o) be the second derivative of k(o). Let q be t(-3). Solve 3 = q*b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)*(6 - (-34)\/(-2)). Let f = 346 + -324. Calculate the highest common factor of f and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149529767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:08 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2560990 and 5\/25097702?\nAnswer: 125488510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72742222.\nAnswer: 2, 7, 19, 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 - -2)*0)\/(-3). Suppose r*j + 376 = 8*j. Let s = 48 - j. Solve -4 = h - s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/60 + 11*t**4\/24 + 7*t**3\/3 - 5*t**2. Suppose 3*q - 10*q = -49. Is a(q) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by -2*2\/(-8) - (7 - 115\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjojpjykjnjjpokjppjp. What is prob of picking 2 j?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3330 (base 7) to base 5.\nAnswer: 14242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2178 and 19998?\nAnswer: 219978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - -31 - (53 - 80)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/2, 1, -0.5, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92170233 = 4*p - p. Let r be ((-2)\/8)\/(-1) - p\/4. Let b = r - -12019147. Round b to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -156. Suppose 4*c - 622 = j, -17*j = -b*c - 13*j + 783. Does 31 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.091 and 3.\nAnswer: -54.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 4*z + 16 = 4*u, 4*u - 18 = -5*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -15*j**2 - 15*j + 2. Let c(x) = -59*x**2 - 61*x + 9. Give 2*c(z) - 9*o(z).\nAnswer: 17*z**2 + 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -105*b**5 - 342*b**2 - 6*b - 5. Let n(c) = -2*c**5 - c**2 + c + 1. Let i(s) = 5*n(s) + o(s). Find the third derivative of i(h) wrt h.\nAnswer: -6900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3155 divided by 23?\nAnswer: -3155\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(162) + -2 - sqrt(162)) + -4*(sqrt(162) + 0) + -1 + (sqrt(162) + 1 + sqrt(162))*4 + 2 + sqrt(162) + 2 + sqrt(162) + sqrt(162))**2.\nAnswer: 1134*sqrt(2) + 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 10*l**4\/3 + 7694*l**3\/3 + 1852676*l**2\/3 + 132835840*l\/3 + 17612800 = 0.\nAnswer: -320, -129, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.12 (b) 1\/4 (c) 0.5 (d) 2 (e) 0 (f) -1573\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4576 less than 0.062?\nAnswer: -9.3956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -5, 2, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = u. Sort u, -20, -1.\nAnswer: -20, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 - 19*y**2 + 90*y - 160. Calculate a(5).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1159605 and 13\/35?\nAnswer: 8117235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11282260?\nAnswer: 2, 5, 11, 51283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9992880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/19, 5, 4, -39 in increasing order.\nAnswer: -39, -16\/19, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -483677 at least -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7395\/174)\/(1462\/172).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.0065 + -5?\nAnswer: 17.0065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2564*w**2 - w - 13132 wrt w.\nAnswer: -5128*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189140?\nAnswer: 2, 5, 159457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160901\/31 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 4, s: 3, u: 6}. What is prob of picking 1 s and 1 t?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 303, 607, 917, 1233, 1555?\n\"Answer: 3*v**2 + 295*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5266354 is divided by 1611?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28181272 - -59496.\nAnswer: 59495.71818728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihhihhiiiiihii. Give prob of picking 2 i.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/1)\/(-2))\/((-13)\/(-52))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7154 or -5333?\nAnswer: -5333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2672*q + 10750. What is l(-4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 198 + 5)*(14*x - 19*x - 4*x).\nAnswer: 1737*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4 + 11*a + 0 + 0. Is 24 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2237 divide 115354746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*q + 47*q = -324. Let h = 139 + q. Suppose -2*d = 3*r - 41 - 15, 2*d + 2*r - h = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1)))**(-23\/5) assuming v is positive.\nAnswer: v**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 4:21 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1295\/(-740))\/((-70)\/(-20)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 + 23495*x**3 - 2363010*x**2 + 57588500*x + 59975000 = 0. Calculate x.\nAnswer: -4798, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00176128212 to 5 dps.\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/(-3) + 2\/(-6). Let y = -4 - j. Calculate the smallest common multiple of 6 and 2 - y\/2 - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162189202883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(23\/4)*b*b**(-6\/19) assuming b is positive.\nAnswer: b**(489\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 + 11*c + 8. Let g be x(-2). Determine b, given that -7*b**2 + 6*b**4 - 7*b**5 + b**2 + g*b**5 - 3*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-4\/11)\/t))**39*t\/(t**23*t)*t*t\/((t**(-1)*t)\/t))**(2\/21) assuming t is positive.\nAnswer: t**(1588\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:37 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2312)\/(-272)*5\/(10\/4)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2714*z**3 - 599*z**3 - 4 + 1 + 5.\nAnswer: 2115*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10927786.\nAnswer: 2, 5463893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + -18.53. Let k = y + 16. Let l = k + 0.5. Which is the closest to 2\/5? (a) l (b) -3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = b + 177, h = -2*h - b + 103. Calculate the remainder when 138 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -152462943 and 18.1?\nAnswer: 152462961.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5311147*r*y**2 + 19783*r*y - 11*r + 4 wrt y?\nAnswer: -10622294*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -19. Suppose -3 = 2*b + 7. Which is bigger: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 12, 20, 12, -24, -100, -228?\n\"Answer: -2*q**3 + 10*q**2 - 4*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699 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: List the prime factors of 174293576.\nAnswer: 2, 1801, 12097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/83491 or 1?\nAnswer: -13\/83491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10 + -5)*(188716\/330)\/(4\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4 and 51\/8420.\nAnswer: 8420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 3*q**2 + 5*q - 2. Let a(j) = -j + 1. What is -2*a(z) - m(z)?\nAnswer: z**3 - 3*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(75)*2.\nAnswer: 4 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/5)*o*o**(-8)*o assuming o is positive.\nAnswer: o**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 3111.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {u: 4, a: 2, g: 10}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 0 + 0)*(-3*c + c - 2*c) + 3*c**2 - 2*c**2 - 3*c**2 + (-5 + 2*c + 5)*(-2*c + c + 3*c) + 2*c**2 + 2*c**2 - 2*c**2 as k + u*c**2 + t*c and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-27 + (-75)\/75).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 23436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1610*x**3 + 338*x - 568046?\nAnswer: 4830*x**2 + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 46. Is -32 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285497749 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1676\/(-3)*(-3 + (-9)\/(-6)). Let v be 0 + a - 20\/5. Let t = -548 + v. What are the prime factors of t?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -1 - (-3)\/(-2). Let k be 4\/26 - 658\/728. Let w = 1 - 1. What is the nearest to w in y, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.037 + 3.137. Let w = m - 3.1. Let l be ((-2)\/26)\/(1\/(-2)). What is the nearest to w in -0.5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5594 + -1)\/(-3) - (7 + -6). Suppose -9*j = -13*j + d. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.858*-1.042.\nAnswer: 1.936036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3311 - 3260. Calculate the remainder when j is divided by 3*(1 - (-100)\/12).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r - 2 - 13 + 6*r. Let z be x(-8). What are the prime factors of 73\/(z*-4*3\/(-12))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1751\/2 - 928. Let g = -54 - d. Put 3, -3\/7, g in ascending order.\nAnswer: g, -3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3749*d + 56 = 3756*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8228640 and 217.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 6*r + 4. Let y be o(-4). Suppose 5*h - h = -y. Let q be 20\/6*h\/(-2). Solve -4*t = t - q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n + 3. Let c be -2 - (7\/(-7) + -3). Let k(w) be the third derivative of -1\/6*w**3 + 0*w - w**2 + 1\/24*w**4 + 0. What is c*k(d) + h(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226.994 + -222. Let i = j - -0.006. Sort -0.1, 4, i in decreasing order.\nAnswer: i, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1)*(-16)\/32. Suppose n = 3*a - 4*a - 3*a. Solve 4*r - 16 = 4*b, a*r + r - 4*b - 13 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 - 13*g**5\/60 + 11*g**4\/24 - 17*g**3\/6 - 8*g**2. What is the remainder when s(-14) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 7*t**2 + 7*t + 8. Let b be l(-6). Let f be (-5)\/b*1\/5. Are f and -0.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 83, -11, -35 in decreasing order.\nAnswer: 83, 5, -4, -11, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42\/(-105))\/(-16*(-4)\/120). What is the closest to -4 in j, -2, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 94*d**2 + 3 + 89*d**2 + (1 - 2 - 1)*(-2 + 2 - d**2).\nAnswer: -3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, v: 2, c: 1, q: 1, g: 1}. Give prob of picking 1 v, 1 g, and 1 q.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 56684.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6730 is divided by 6637.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6417952.8 + -1102665.8. Let l = 5315284.9000072 - z. Let x = -2.1 - l. What is x rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399080210 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13*r + 20. Let s(v) = -11*v - 19. Give -3*h(n) - 4*s(n).\nAnswer: 5*n + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12601.6 + -14333. What is r rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**3 - 128*a**2 + 82*a - 60. Give o(-22).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 18*x + 15. Let f(g) = g + 1. Let y be 10\/15*6\/(-4). Determine y*d(l) + 15*f(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.7 times -1.17?\nAnswer: 45.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 - 81. What is the least common multiple of q and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fax when three letters picked without replacement from {l: 8, i: 2, a: 1, f: 4, o: 2, x: 2}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 7629?\nAnswer: 3\/2543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 6}. What is prob of picking 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 13*f**2 + 12*f + 8. Let k be h(12). Let o = -0.67 + 49.17. Let x = 48 - o. Which is the fourth smallest value? (a) k (b) x (c) -3 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 5*k - 5. Let q(b) = 3*b - 3. Suppose 0*z + 60 = -z. Let w = -57 - z. What is w*i(v) - 5*q(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 divided by -265649.\nAnswer: 167\/265649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4306 = -1586*z + 37056 + 27518 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:15 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129158 = -x + v, 5*v + 11108 + 247202 = 2*x. What is x rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 2*h**2 - 5*h + 3. What is i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.059? (a) -1 (b) -4 (c) -9\/5 (d) -0.0731\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/24 - 7*u**3\/6 + u**2. Let w = -595 + 613. Suppose 25 = 5*i, w*x - 13*x + 15 = 3*i. Determine y(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, f: 3, w: 3, b: 1, h: 2, j: 3}. What is prob of picking 1 f, 1 w, and 1 h?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h**5 + 40*h**4\/3 - 64*h**3\/3 - 160*h**2\/3 - 32*h\/3 = 0. Calculate h.\nAnswer: -2, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c - 80. Let k be 16\/(-6)*(-24)\/c. What is the second smallest value in k, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00080400497 rounded to 6 dps?\nAnswer: -0.000804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from dsdusqf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107, 804, 2667, 6278, 12219?\n\"Answer: 97*v**3 + v**2 + 15*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) 9834 (b) 3 (c) -1\/2 (d) -4 (e) -5 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-888)\/80 + 4 + 2\/20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*h - 34737, -3*y = -2*y - 5*h + 11559. Let b = y + 28684. Round b to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -5*s. Suppose h + 2 = s*h. Calculate the remainder when 5 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27e9 (base 15) to base 11.\nAnswer: -6468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 6 + 6)*(0 + 0 + 2)*(-3*j**2 - 2*j**2 + 12*j**2).\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*f - 77 + 94*f + 336*f - 75*f + 76 in the form j + q*f and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 15796?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i - 3. Let b = -4 + 2. Let f be w(b). Calculate the highest common divisor of 99 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(8*j - 5*j + 9*j) + (4 - j - 4)*(2 - 9 + 1).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(576))\/sqrt(3).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 148\/(-18) + 2\/9. Let u = 1 - y. Suppose -4*l - 80 = -9*l. Calculate the remainder when l is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from yooqnyonccqwnc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.801001 to one decimal place.\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/4, 2, -11\/16 in decreasing order.\nAnswer: 2, -11\/16, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - ((sqrt(304)*3 - sqrt(304)) + -3))**2 + ((sqrt(304) + -1)*-4)**2 + -4.\nAnswer: -152*sqrt(19) + 5189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4480 or 3197?\nAnswer: 3197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = j - 455, -7*y + 8*y - j = 85. Suppose -5*c + y = 4*a, -c + 3*a - 5*a = -18. What is the smallest common multiple of c and 5*(108\/10)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835.72 meters in nanometers?\nAnswer: 835720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 17. Suppose 2*b - 7*b = -3*g + 206, 0 = -3*g + 2*b + 212. Suppose -11*a + g = -170. What is the remainder when a is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 404378627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 3, m: 3, f: 6, s: 5}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 3. Suppose 5*a + i = -4*i + 25, 5*i - b = -4*a. Is a equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 2:32 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 4 - 4)*(4 - 4 + 2*s) + (2*s**2 - 5*s**2 + 0*s**2)*(-3*s + 0*s - 3*s).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*s - 2*n - 18, -9 = 3*s - 3*n. Let l = 7 - s. Let g = 18 - l. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.27 - -0.27. Let y = x - -18. Let q = -9.8 - y. What is the biggest value in q, 0.5, -5\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5783*v**4 + 173*v**2 - 2?\nAnswer: 138792*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -67 - (-1)\/((-18)\/(-183))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 78. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is next in -6556, -26251, -59044, -104929, -163900, -235951?\nAnswer: -321076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 646, 2135, 5028, 9793?\nAnswer: 16898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 11*m + 4*k + 1726, -5*m + 4330 = -5*k. Suppose 20*n - 19329 = -m. What are the prime factors of n?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 4:19 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 9.01. Suppose 4*f = 4*z - 108, 0*f - 2*f + 5*z = 66. Let s = f - -22. Which is the smallest value? (a) s (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1432, -1696, -2008, -2392, -2872, -3472, -4216?\nAnswer: -5128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181944\/2331 - (-4)\/(-74) is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 21. Let l(q) = -n - q + 0*q + 2*q + 1. Let i be l(8). Solve -5*h + i + 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-10)*45\/3. Let w be (-1 + -1)*(-25)\/5. Is w less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.8 + -4.4. Let i = -13.8 - h. Let n = i + -1.025. Round n to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99990 is divided by 343?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 - 3604*n\/3 - 1623602.\nAnswer: -2*(n + 2703)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 923920637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 4*w**2 - 3*w - 2. Let g be u(-3). Let h = -9 - -20. Let c = h - g. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43002, -68208, -93414, -118620?\nAnswer: -143826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2043815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 16*n + 21. Determine o(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241, -251, -273, -313, -377, -471?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 119, -359 in descending order.\nAnswer: 119, -3, -4, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -z + 71 - 19, 3*g = 5*z - 170. Calculate the remainder when (z\/(-4))\/(2\/(-8)) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -16. Suppose 4*v + 157 = -h, -6 = -4*h + r. What is the units digit of (2\/4)\/((-4)\/v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.1. Let r = -45\/4 + 11. Which is the second smallest value? (a) y (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25194741471 take away -0.5?\nAnswer: 0.75194741471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:02 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b - 1710. Let d(k) = -k + 171. Let p(z) = 10*d(z) + x(z). Let h(o) be the first derivative of 18*o**3 + 2. Give h(p(m)).\nAnswer: 1944*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 1 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.19 + -6.72022. Let i = t + 0.53. What is i rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 71, 4.7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4242 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 3*u - 1. Let y(s) = 5*s**2 - 4*s - 1. Let v(t) = -4*t**2 + 4*t + 1. Let m(o) = -7*v(o) - 6*y(o). Determine -2*m(g) + 3*x(g).\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoeeeeegeeeeooege. Give prob of sequence gg.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(48)*-2 - (sqrt(12)\/sqrt(4))**2*-5) + (sqrt(42)\/sqrt(18))\/(-5*(sqrt(7) + 1*sqrt(7))))*3.\nAnswer: -241*sqrt(3)\/10 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(150)*-5))**2.\nAnswer: 17\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1782 times 10?\nAnswer: -17820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*j + 70, -9*j = -3*v - 5*j + 103. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*x**6 + 3*x**5 - 45*x**4 - 67*x**2 - 2 wrt x?\nAnswer: 3480*x**3 + 180*x**2 - 1080*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 2*o**7\/105 + o**6\/30 - o**5\/15 - o**4\/6 + 13*o**2. Suppose w(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 bigger than 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 624431891 to the power of 1\/3, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v + 21 = 25*v. Suppose -2*j - 3*p - 3 = 0, -68*j - 2*p - 21 = -73*j. Solve -4*r + 3*y + j = 0, -r - 2*y + v*y = -5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1640)\/(-511))\/(-8) - 0. Let w = -2\/73 + p. What is the biggest value in w, -5, -4\/21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003579037041 rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3117*f = -2067*f + 24150 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -124873995?\nAnswer: 499495980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - -0.13. Let b = -0.08 - f. What is the second biggest value in -2\/9, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4, -61 + 14 = 6*j + 9*c - 13 - 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(441)*1*-4)\/sqrt(7) - (-1*sqrt(630)*-1)\/(-1*sqrt(10)*5))*-3.\nAnswer: 9 + 171*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 - (12 + -24 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 55, -30, -3 in descending order.\nAnswer: 55, 1, -2, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 + 104. Let j = 29.794 - -3.466. Let a = d - j. What is a rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0 + 0*m**6 + 0*m**5 + 0*m**3 + 1\/12*m**4 + 0*m + 2\/105*m**7 + 20*m**2. Find the second derivative of n(t) wrt t.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -29. Sort l, 0, 1 in decreasing order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w**3 - 3*w**2 + 5*w + 8. Let k be i(6). Suppose -8*q + q + k = 0. Suppose 8*a = 1054 - q. Is 30 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916184247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/14)\/((-22)\/77). Let a = -124 - -95. Sort 3, w, a in descending order.\nAnswer: w, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 152\/12 - (-4)\/(-6). Let u(c) = -c**2 + 8*c + 16. Let s be u(l). Let p be ((-66)\/8)\/(12\/s). What is the highest common divisor of p and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 12 - 46 = 0. Suppose -66*q - 7272 = -88*q - 180*q. Solve 0 = -g*i + q*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.56 + 96.56. Let d = -90.9 + r. Let n = d + -4.6. Which is the nearest to 0.4? (a) -3 (b) -1\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 11:20 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148754710?\nAnswer: 2, 5, 13, 331, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60587.75 milligrams to kilograms.\nAnswer: 0.06058775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.93 - 0.23. Let n = a - 5. Let b = 1\/35 - 39\/140. What is the third smallest value in 3, b, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329629259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*i + 21*i + 3*i**3 + (i - i + 2*i**2)*(0*i + 2*i - 3*i) - 108*i**3 - 27*i**3 + 48*i**3.\nAnswer: -86*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*o**4 - 54*o**2 - 215*o - o**3 - 325\/2.\nAnswer: (o - 13)*(o + 1)*(o + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-33) - (629958\/(-66) + -5). What is the highest common divisor of 50 and j?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (2 + 6)\/(-4). Let y be 0 + 2 + -25 + v. Let c = 67 - y. Is c a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/679 - -2042\/3395. Let v = 30.7 + -31. What is the fourth biggest value in v, 3, 28, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -446, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/9))**(-41)*((o**(2\/23)*o)\/o)\/(o*o*o*o**(2\/17)) assuming o is positive.\nAnswer: o**(-26696\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8*i + 194. Let x be y(24). Suppose -3*f + x*z = -74, 0 = -5*f + 2*z + 111 + 15. Put f, -4, -3 in decreasing order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 2)*(-4*o**4 + 2*o**4 + o**4) + 3*o**4 - 2*o**4 + o**4 - 8*o**4 - 3*o**4 - 8*o**4 + 2*o**2 - 5*o**4 - 2*o**2)*(-12 + 28 + 10).\nAnswer: -520*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -283063, -283387, -283711, -284035, -284359?\n\"Answer: -324*t - 282739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*k - 337, -58*n = -54*n - 4*k + 724. Let r(h) = 68*h**2 - 2*h - 3. Let x be r(-2). Let w = n + x. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*b + 2*l - 52, -4*b = 3*l + 20. Which is smaller: -25\/3 or b?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 5 + 0 - y + (-7 + 3 - 7)*(-y + 2*y - 2*y) + 0*y - 3*y + 7*y.\nAnswer: 14*y - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(112) + -1 - (sqrt(112) - sqrt(112)*-2*4)) + 5 + 1)**2.\nAnswer: -64*sqrt(7) + 7169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 59?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -149049, -148946, -148845, -148746, -148649, -148554, -148461?\n\"Answer: -w**2 + 106*w - 149154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 95714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**(-46)\/(u**11\/u**6) assuming u is positive.\nAnswer: u**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236709956 to the nearest integer?\nAnswer: 15385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/(-1) + 138)*373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 - -0.313. Let x = -77935 + 77934.97699908. Let l = t + x. Round l to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*u**2 - 152*u**2 - 67*u**2 - 12*u**2 to o + s*u + i*u**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.166958 litres in millilitres?\nAnswer: 3166.958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24166 - 8355. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16\/1061 - 981\/5305. Let w = -16\/15 + 22\/15. Sort h, w, 28 in decreasing order.\nAnswer: 28, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(84)\/sqrt(4))\/sqrt(7).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -222633 and 0.3?\nAnswer: -66789.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2295819?\nAnswer: -2295822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 56.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 23*z**3 - z**2 + z + 1. Give u(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -849 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20682 and 27576?\nAnswer: 82728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i - 2*i)*(-1 - 9*i**2 + 5*i**2 + i + 7*i**2).\nAnswer: 6*i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -126, -553, -1390, -2745, -4726, -7441?\n\"Answer: -18*c**3 - 97*c**2 - 10*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -1.9. Let w = 384 + -383.7. Let h = n - w. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139820001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206462?\nAnswer: 2, 103231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -73, -171, -319, -523, -789, -1123?\n\"Answer: -z**3 - 16*z**2 + z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 130313?\nAnswer: 130321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f. Let l(s) = 980 + 48*s - 980. Calculate -40*d(p) - 6*l(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**3 - 8*p**2 - 50524*p - 272649354 wrt p?\nAnswer: -6*p**2 - 16*p - 50524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 7 + 20 = -b, 4*v = -2*b + 11 - 31 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34602 - 1?\nAnswer: 34601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/267337 and 9\/57739.\nAnswer: 85280503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 282\/8 + -9*9\/(-108) and 30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1594535876877.6 + 38?\nAnswer: -1594535876839.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**8\/336 - 4*l**7\/105 + 7*l**6\/120 + 8*l**2 - 62. Let t(f) be the second derivative of m(f). Factor t(z).\nAnswer: z**3*(z - 7)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -10. Suppose 0 = 5*h + y - 3. Let u be -3*1*h\/3. Which is smaller: 1\/15 or u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.018897ng?\nAnswer: 0.000000000002018897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.5, -2\/3, 218, -0.01?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19188, 24998, 30808, 36618, 42428, 48238?\n\"Answer: 5810*x + 13378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 2, k: 6, x: 8}. What is prob of sequence kaxa?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t - 16. Determine d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 5, m: 1, t: 1}. Give prob of sequence hhtb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10561 times -0.5\nAnswer: -5280.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 3*b + 5\/8*b**4 + 0 + 1\/4*b**3 - 3\/4*b**2 + 9\/40*b**5. Determine f, given that c(f) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/12 and -53\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 55*n - 110. Let m be s(2). What is u in -6*u**4 - 22\/3*u**3 + m*u**2 + 0 - 4\/3*u**5 + 8\/3*u = 0?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -175, -347, -519, -691, -863?\n\"Answer: -172*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 3311.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 1 + sqrt(1100) + 0)*2 - (5*(0 + sqrt(1100) + sqrt(1100)) + -2*sqrt(1100) + 4))**2.\nAnswer: 160*sqrt(11) + 17604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 5. Let j be c(-15). Let k = j + 57. Calculate the remainder when 95 is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3*t)**(-2\/33))**(2\/9) assuming t is positive.\nAnswer: t**(-16\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = -2*b + 20*b. Suppose -b*d = 4*d - 3185. What is the lowest common multiple of 49 and d?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 507, -1\/5 in ascending order.\nAnswer: -1\/5, 0.2, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-20)\/(-4) + 581 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4340, -1, -130, -3\/4, -4\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 180, 365, 556, 753, 956, 1165, 1380?\n\"Answer: 3*n**2 + 176*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12628682?\nAnswer: 2, 11, 574031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2930 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 8*w**2 + w + 3. What is s(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v + 3*d = -12, v - 3*d = 10. Suppose 4*k = -4*r + 12, -5*k + r + 2*r - 1 = 0. What is the greatest common factor of k and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = j + 521 - 523, 2*j - 3*h + 21 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + (sqrt(78)*-2 - sqrt(78)) + sqrt(78))*-5 + (sqrt(78) + sqrt(78)*1)*4)\/(-3*sqrt(72)\/(sqrt(48)\/sqrt(4))).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + sqrt(2057) + 4 - 1*(sqrt(2057) - -1*((sqrt(2057)*1 + sqrt(2057) + sqrt(2057) - sqrt(2057) - sqrt(2057))**2 - sqrt(2057))).\nAnswer: -2055 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-85*(-3 + 1).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.97 + -1. Let a = 0.17 - i. Which is bigger: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 188952\nAnswer: -75580.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = 3*b, 22 = 6*b - 5*b - 5*v. Let k = b - -7. Solve -k*y + 1 + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2733264 and 11856.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4604 + 4602. Put -3, 0, -56, r, 1 in descending order.\nAnswer: 1, 0, r, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 4*k + 7. Let q be p(5). Suppose -4*o = -q*o - 26. Let z = 1889 + -1876. Calculate the highest common divisor of o and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0*b + b - 4)*(-219*b - 12847 + 12847)*(2 - 4 - 6) in the form a*b**2 + z*b + d and give z.\nAnswer: -1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 + 899 = 3*a - 2*h, a = 2*h + 258. Let b = -1011 - -1018. Suppose 5*j = b*j - a. List the prime factors of j.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/300 - 143*s**5\/75 - 336*s**4 + 13824*s**3\/5 + 10444*s**2. Solve c(q) = 0.\nAnswer: -144, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*1\/2 - -5. Suppose 5*o + 6*j = d*j + 11, -3*o + 4*j + 13 = 0. What is the third derivative of l**2 - l**o + 0*l**2 - 2*l**3 wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 7*n - 3*a + 1, -3*a = n - 26. Suppose 0*c - 3*c = 3. Let u be (-14*1)\/c + -2. Solve b = n*b - u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 858*q**2 - 882*q - 378258. Calculate n(-429).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 581*r**2 + r - 2. Let h be f(1). Let k be (1\/(-5))\/(8\/h). Let d = k + 15. Which is smaller: d or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17 in -0.4, 3, 1\/4, 0.5, 0.1, 236?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 24. Let i be (4 - (-5 + 2))\/1. What is the highest common factor of i and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 4*m. Let a be w(4). Suppose -5*c = 5*k - 15, -4*c + 4*k + 1 + 3 = a. Suppose 2*g + c*g - 16 = 0. 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 the biggest value in 5, -6, -11, 2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 3302?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347081?\nAnswer: 7, 179, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 4*o**2 + 5. Let h be b(-4). Suppose -6 = -2*w - 0. Suppose -w*r + 4 + 5 = 0. Solve 2 + r = h*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 11 = j, -13*i + 5*j + 30 = -37 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403746 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -1\/20*q**5 - 13*q**2 - 1\/6*q**3 + 0*q - 25 + 1\/24*q**4. Let f(y) be the second derivative of g(y). Determine f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5002 + 732 = -1717*s - 1134 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -0.133, 4, -1, -2\/9, -2\/23?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113502 - 79*k**3 - 113283 - 4*k**3 + k wrt k?\nAnswer: -498*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88, -95, -102, -109?\n\"Answer: -7*r - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1008) + 0 - sqrt(1008))**2 - (-1 + sqrt(7) + -2)).\nAnswer: -15 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-576)\/(-2598))*76\/270. Let f = -68\/135 + h. Find the common denominator of 71\/40 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45879 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 204 = -3*f, -2*f = 5*i - 137 - 210. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112 + 114 + 8*w**2 - 179 to u + t*w + p*w**2 and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 8, 130, 0, 1, -10 in decreasing order.\nAnswer: 130, 8, 5, 1, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**4\/12 + 11*s**2\/2 + 3*s. Differentiate f(q) with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + 1*(-5 + sqrt(192)*4 + 3) + -3)**2.\nAnswer: -576*sqrt(3) + 3153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216) + sqrt(216)*-1)*-4)\/(sqrt(24)\/sqrt(18)))\/(((2*sqrt(198))\/sqrt(11))\/(sqrt(48)*-1 + sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -0.0524.\nAnswer: -3.0524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 10) + -7 + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 + -37337\nAnswer: -37339.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-29)*n*n\/(n**11\/n)*(n\/n**(-7\/4))\/((n**(7\/4)\/n)\/n))**32 assuming n is positive.\nAnswer: n**(-1088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*2)\/(225\/(-135)). Which is the nearest to 3? (a) -0.1 (b) -0.2 (c) 4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 5*m - 3. Let f be o(-6). Suppose -5*x = 5*h + 9 - 4, 0 = h + f. Solve x = -0*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 50*g**2 - 41*g - 2239. What is s(48)?\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 18*n - 17. Let a be b(1). Let r be (a + 29)\/((-23)\/((-207)\/18)). Let y be (-74 - 1)\/(-1 - 0). What is the highest common divisor of r and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:01 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692510 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -396562 divided by -2\nAnswer: 198281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 24 + 19*p**2 + 59.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 87879711 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*b + 167 + 2608, -5*k + 6*b = -2775. Is k a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 (base 5) in base 3?\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 7806*i**3 - 117540*i**2 + 588450*i - 981375.\nAnswer: 3*(i - 5)**3*(i + 2617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*u = 463*u - r + 3, 5*r + 5 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 100, -106, -394, -764?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j + 4 = 2*v, -3*v + 5 = 5*j. Suppose -g - g + 84 = v. Suppose -18 = -5*a + g. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 88 - 1. Let d = v + -18. Let b = d + -8. Solve -x + r - b*r = 0, -2*r = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -26. Let a(i) = -79*i**2 + 2*i - 1. Let d be a(1). What is the remainder when d\/9*(-6)\/1 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 82\/(-41) + ((-57)\/(-122))\/1. Let p = 2\/61 + u. Put -14, -1\/4, p in descending order.\nAnswer: -1\/4, p, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/4409 and 21\/379174.\nAnswer: 379174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) -1 (c) 2\/11 (d) -0.28 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -252 + 481 - 13*p**2 + 14*p**2 + 2*p**2 + 0 + 0 + (2 - 1 - 2)*(3*p**2 - 5*p**2 + p**2).\nAnswer: 4*p**2 + 229","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -516218, -1033065, -1549912, -2066759?\nAnswer: -2583606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1968 and 78960?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-433)\/4)\/(14\/(-56)) is divided by 76.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, -27.2, -0.04, 7 in descending order.\nAnswer: 7, 4, 0.5, -0.04, -27.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7888*f**2*l - 76*f - 3*l wrt f.\nAnswer: -15776*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((2 - 0)\/(-2)). Suppose 22*a - 8 = 18*a. Let s be x\/2*a\/(-6). Put 1, s, -3 in descending order.\nAnswer: 1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (136\/(-5))\/((-15)\/(-75)). Let d = b + 249. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -44*s - 34 + 258, 14 = 2*u + 3*s - s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 1 = 12*d. Let w(g) = 698*g**2 + 9*g - 34. Is w(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-276)\/18)\/((-1)\/3). What is the highest common factor of 23 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -243 + -1031422?\nAnswer: -1032220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 434281052019454\/47337 - 9174241123. Let x = g + -86\/509. Calculate the common denominator of x and -91\/24.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -0.05, -3, 2.614, -4\/3?\nAnswer: 2.614","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-1)))\/((i\/(i\/i**6))\/i)*(i\/i**(-4))\/(i*i\/(i*(i\/(i\/(i*(i**5\/i*i)\/i)))\/i*i)) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 20 = 2*k + 5*f, 4*k = f - 20. Let s(b) = -7*b**3 + 5*b**2 - 7*b - 5. Let z(o) = 4*o**3 - 3*o**2 + 4*o + 3. What is k*z(y) - 3*s(y)?\nAnswer: y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6688 = -57062608*q + 57062684*q for q.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 4 - 12 + 17 + 2*u**2 + 4*u**2 in the form z + b*u**2 + i*u and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0)\/((-8)\/(-32)). Suppose 8*p = c*p. Solve -4*i + 3 + 5 = p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 14*s**2 - 38*s + 22. Let p(h) = -h**2 - 19*h - 50. Let i be p(-17). What are the prime factors of c(i)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 19*d**2 - 10*d + 8. Give n(-19).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.36 + -46. Round u to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174)\/1305)\/((-4)\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738524442 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*((-286)\/(-39))\/22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209)*4)\/sqrt(11))**2 - sqrt(19) - ((2*sqrt(171) - sqrt(171))**2 + sqrt(19))) + -3 + -5*(-2*sqrt(76) + sqrt(76)).\nAnswer: 8*sqrt(19) + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 6*i + 18. Let d be s(8). Let a = 0 + 2. Is a <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72604.\nAnswer: 2, 7, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 20 + -11 - 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -604\/3 - -203. Let y = -6 - -4. Let i be (-13)\/(-18) + y\/9. What is the smallest value in -5, i, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**5 - 3*a**5 + 0*a**5 + 3*a**5 - 2*a**5 - 3*a**5 + (-4*a**4 + 3*a**4 + 2*a**4)*(-3*a + 2*a - a) + (-10*a**3 - 4*a**3 + 6*a**3)*(-6 + 6 + 25*a**2).\nAnswer: -205*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/4 of a century?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(-3*d + 4*d - 2*d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -525? (a) 2\/13 (b) -0.3 (c) 238 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -14\/281671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/(-8))\/(-7)*(-9)\/27?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*k = -7120 - 1940. Let 150 + k*h + 3\/2*h**2 = 0. What is h?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spfnnpbnnpb. What is prob of picking 1 s, 1 p, and 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.13 + -0.13. Let g = -1121.361 - -1116.4. Let x = g + -0.039. Sort x, f, 4\/3 in decreasing order.\nAnswer: f, 4\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5822 = -117*t - 186*t - 974 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -4*w - 1\/2*w**2 - 1. What is the smallest common multiple of 18 and y(-12)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 - -0.19. Let f = p - -1.48. Let q = -1.4 + f. Which is the second smallest value? (a) -1 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from -35108574.585.\nAnswer: -35108574.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**3)*s)\/s**(-1))**(1\/5) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (12 - 22) - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102514 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 12*k - 3\/10*k**5 + 0*k**6 + 0*k**2 + 0 + 1\/14*k**7 + 1\/2*k**3 + 0*k**4. Factor r(m).\nAnswer: 3*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1014 (b) -36 (c) -2\/7 (d) -1 (e) 3\/4 (f) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6)*2)\/(3\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391 + 365 = -13*a. Factor 0 + 4*j**3 + 8\/3*j**2 + 0*j + a*j**4 + 1\/3*j**5.\nAnswer: j**2*(j + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1340 is divided by 1332.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -11*j**2\/2 + 3*j - 4. Let b(u) = -4*u + 1. Let q(d) = d**2 + 17. Let z be q(0). Give z*b(k) - 6*x(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8107.6797 to the nearest one hundred.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4648*d*v**3*z + d*v**2*z + d*v**2 + 6393*d*v*z + 3*v*z wrt v.\nAnswer: -27888*d*v*z + 2*d*z + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 6:44 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 8 - ((-6 - -9) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69167 is divided by 17136.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v + 55. Let m be d(0). Suppose -5*o = c - 512, 5*o + m = -4*c + 573. Is 34 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pipppppppivivi. Give prob of picking 1 v, 1 p, and 2 i.\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4\/7 - 768*z**3\/7 - 71356*z**2\/7 + 461760*z\/7 + 76050 = 0.\nAnswer: -195, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3338, -17, 5 in decreasing order.\nAnswer: 5, -17, -3338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + p - 22, 2*p + 26 = -4*d. Let n(v) = -v**2 - 8*v - 8. Let a be n(d). Let w = 17\/44 + -3\/22. What is the closest to w in -5, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(((-100)\/240)\/((-120)\/2))*1.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b. Let g be q(10). Calculate the common denominator of 14\/g*(-267)\/21 and 109\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 - -441.188\nAnswer: 520.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4930 and 1479.\nAnswer: 14790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226840551 is divided by 5559.\nAnswer: 5556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**7\/2520 + 5*u**4\/12 + u**2\/2 + 6*u + 2. Let m(r) be the third derivative of t(r). Let n(k) = -3*k. Determine n(m(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2311? (a) -5 (b) -2\/21 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 5*r - 4. Let p be l(-6). Let u be 5\/p*(-4)\/(-5). Solve 4*x + 0 = 2*n + 6, -23 = -u*x + 5*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -393 + -51?\nAnswer: -3e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/6)\/(99\/12543). Let t = -571 - c. Find the common denominator of (-3)\/12 + (-25)\/(-7) and t.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97849993?\nAnswer: 4421, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18 and 29186492669.\nAnswer: 29186492651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 5 (c) 38 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 946\/440 + -4*(-55)\/(-80)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - -4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -27 + 27 + (1 - -8). Determine c so that -849*c**2 + c + 3*c**3 - 16*c + 852*c**2 + u = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-1)\/((-35)\/10)*(-2)\/2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 8*b + 12. Let c be g(-2). Sort 1, 4, c in decreasing order.\nAnswer: 4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5932?\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-10.3.\nAnswer: -30.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 148, 147, 146, 145?\n\"Answer: -m + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3010)\/(-3) + (1 - (-6)\/(-18)). What is the derivative of -1004*h**3 + l*h**3 + 32 - 10*h**4 wrt h?\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b*q**3*s - 705*b*q**2*s + 4*b - 2*q**3*s - 13*q - 3697*s wrt b?\nAnswer: -3*q**3*s - 705*q**2*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 9559*x**4 + 19120*x**4 + 215*x**5 - 9560*x**4 + 4 + x**3 + x**5 + x**5 - 3*x**5 + (-x - 2*x**3 + x)*(2*x**2 - 3*x**2 + 2*x**2).\nAnswer: 212*x**5 + x**4 + x**3 - x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2881 + -1441. Suppose -k*q + 2740 = -1436*q. What are the prime factors of q?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1996 - -1999. Solve x + 7 = 2*z, -3*x - v = -z + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101284481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/9)\/((-3)\/(-81)). Let u = y - 4. Let d be (-2443)\/(-49) - (-2)\/u. Round d to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-70)\/4 - (-12)\/(-6). Let r be 0 + i\/18 + 3\/18. Let m(c) = -c - 9. Let w be m(-13). Solve -5*y = w*x + r, 6 = -4*y - x - 0*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 - -5) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19063587*c*f**3 + 247*c*f**2 + 3*c*f - 727*f**2 wrt f?\nAnswer: 114381522*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-800)\/36288*(-124)\/1550.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/3 (b) -0.0841 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*i - 6 = 0, 5*d - 12 = -3*i + 3. Suppose -5*p = d*x - 830 - 164, -x = -3. List the prime factors of p.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + (1*sqrt(612)*5 + sqrt(612)*-1*-3 + sqrt(612))**2*-5)*3.\nAnswer: -743597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, 87, 2 in descending order.\nAnswer: 87, 12, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 478, 485, 492, 499, 506, 513?\n\"Answer: 7*g + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 5*r - 1. Let w be u(-4). Suppose 165 = 3*l + w*j, 2*l - 119 + 29 = 3*j. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28485, -113939, -256369, -455769, -712133, -1025455?\nAnswer: -1395729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(1 + ((sqrt(352) + (sqrt(352) - 1*sqrt(352)))\/sqrt(11) - sqrt(32)) + sqrt(32)) + 0)**2.\nAnswer: 168*sqrt(2) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311856?\nAnswer: 2, 3, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 - 22a7?\nAnswer: -2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 567*b**5 - 4*b**3 + 17*b - 185.\nAnswer: 11340*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - 125 - (-105534)\/2639?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36209 - x - 36207 + 1215*x**2 + 445*x**2)*((3*x - 2*x + x)*(0*x + 5*x - 4*x) + 0*x**2 + 2*x**2 + x**2) + (x**3 - 2*x**3 + 3*x**3)*(5*x - 6*x - x).\nAnswer: 8296*x**4 - 5*x**3 + 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 484 = 2*o + 325, 283 = j - 4*o. Is 267 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -0.1. Let l be 22\/(-12) - (-298)\/149. Which is the closest to 0.04? (a) f (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1464 - 3*c + 6*c - 4*c + 6*c.\nAnswer: 5*c - 1464","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 875595289*k**3 - 235127*k**2 - 374 wrt k.\nAnswer: 5253571734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 3 (c) 4 (d) 452\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2798*r - 2784*r - 157570. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -830055680*a*p**3 + p**3 + 2*p**2 + 2406053*p + 1 wrt a?\nAnswer: -830055680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 1, m: 1, q: 2, b: 2}. What is prob of picking 2 q and 1 m?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-10)\/(-6))*12. Suppose 4 = -2*a + f*a. Suppose 2*y - 16 = -a*y, -4*y = -5*n - 6. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/4, 1, -1833 in ascending order.\nAnswer: -1833, 1, 21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -366 - 0.7.\nAnswer: -366.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 3*b**3\/2 + 3*b. Let u(x) = 14*x. Let a(g) = -g**2 - 4*g + 13. Let l be a(-5). Determine l*h(o) - 5*u(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 328301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -413 + 285. Let k = 67 + u. Let c = -27 - k. What is the highest common divisor of c and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1355 + 1356 + 4*m - 18*m**3 - 4*m - 2711.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -1.583271\nAnswer: -14.249439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -4. Suppose -5*t + x + 5 = 0, 5*t + x - 3*x = 0. Suppose -t = 2*q, q + r = s + 6*q. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -390*y + 1611. Let o be m(-13). What is the greatest common factor of o and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 17*h**2 - h + 13. Let v be j(17). Let c be v + ((-172)\/(-28) - 2). Let b = -2 + 1. What is the second smallest value in c, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 14 = 4*l. Let t be (-22)\/(-12) - l\/(-42). Calculate the greatest common factor of t and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 27*a = 3*v - 672, 0 = -2*a - 6. What are the prime factors of v?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 389*g**3 - 143*g + 143*g - 3*g**2 + 854*g**3 in the form i*g + c + x*g**2 + b*g**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**2 + h - 3. Let f(c) = 22*c**2 + 32*c + 16. Give -4*b(i) - f(i).\nAnswer: 2*i**2 - 36*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 8:16 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 42\/609 + 103\/(-232)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (3 - 1 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*l + 278*l + 292*l - 1405*l + 285*l + 264*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 2*g + 1. Let i be q(4). Is ((-399)\/i + 2)*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -51*p**2 - 6120*p - 441510. Let n(s) = 7*s**2 + 874*s + 63073. Let h(m) = 15*n(m) + 2*q(m). Factor h(k).\nAnswer: 3*(k + 145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1848*g - 1854*g - 2*j - 8 = 0, 3*g = j - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4489 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13676 + 21670. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 20. Suppose -361 = -5*r + 2*c, -4 = -g*c + 4. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 1\/105*m**5 + 1\/1260*m**6 - 1\/6*m**3 + 4*m + 0 + 1\/28*m**4 + 0*m**2. Let u(g) be the second derivative of c(g). Factor u(w).\nAnswer: 2*(w + 1)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from {p: 1, n: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 25 = 5*r - 0*r, 2*j - 14 = 4*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41126298151977 and 2.\nAnswer: 41126298151979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 1 + sqrt(304) + 0 - (sqrt(304) + 2*(sqrt(304) + -3 - sqrt(304)))) + (1*(sqrt(304) + 1) + 2)*6)**2.\nAnswer: 1400*sqrt(19) + 15521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -329, -553, -779, -1013, -1261, -1529, -1823?\n\"Answer: -u**3 + 5*u**2 - 232*u - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 6*r + 9. Let t be w(7). Let y = 32 + t. What is the units digit of -1 - (-5)\/(y\/(-48))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 69*h + 780 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3166, 6461, 9756, 13051, 16346?\n\"Answer: 3295*o - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*u - 3)*(0 + 36 - 18).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 + 13*q + 31. Let p be i(13). Suppose p = 5*t + 331. List the prime factors of t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1164)\/(-36) - (-2)\/3. Suppose 5*c - 2 = 3*s + 33, 0 = 2*s + 5*c + 65. Let h = w + s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**4\/12 - 17*t**3\/3 - t**2 + 134*t. Differentiate b(v) with respect to v.\nAnswer: 2*v - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-336) + 4864\/(-399).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 68184.05 nanograms?\nAnswer: 0.00000006818405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8372 - 1952 = 116*b for b.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -46*a**2 - 27823*a + 4384. What is f(-605)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*q**3 - 3*q + 3*q**2 + 37*q**3 - q**2 to j*q**3 + r*q**2 + c*q + x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5\/6 - 286*v**4\/3 - 769*v**3\/2 + 859*v**2\/3 + 2884*v\/3 - 768 = 0.\nAnswer: -4, -2, 1, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009558753 to six dps.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.2154m in centimeters?\nAnswer: 14521.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96104.\nAnswer: 2, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**5\/8 - 303*b**4\/8 + 285*b**3\/8 + 1491*b**2\/8 + 225*b\/2 = 0.\nAnswer: -1, 0, 3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 + 6711*h - 6708 = 0. What is h?\nAnswer: 1, 2236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 24.1. Let y = -12.26 - -7.26. Put -0.3, 0.3, y, p in decreasing order.\nAnswer: 0.3, p, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -903*b**3 + 12*b**2 + 6*b. Let i(p) = -907*p**3 + 10*p**2 + 5*p - 1. Determine -6*i(w) + 5*s(w).\nAnswer: 927*w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6284664 to the power of 1\/2, to the nearest integer?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56127 = 36*n + 56199 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/16)\/(15\/(-12)). Let x = -5.8 + 0.8. What is the nearest to 0.1 in b, x, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cutcvctluc. Give prob of sequence vlut.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + 2 - (12 - (-17 - (9 + -41)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 8*a - 2. Let y be w(3). Sort 4, y, 1 in descending order.\nAnswer: 4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*c - 0*c. Let v be (-6)\/10*60\/(-3). Suppose -v*y - 14 = -13*y. What is the least common multiple of c and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 4*g**2 - g**2 + (g - g + g)*(-2*g + g + 3*g) + 4*g**2 - 2*g**2 - g**2 + 2*g**2 - 3 + 3 + 3*g**2 + 193*g + 3 - g**2 - 189*g + 0*g - g**2 + 0*g.\nAnswer: 8*g**2 + 4*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 2:33 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 - 24 = 0. Let g be (-4)\/(-10) + t\/35. Let u be (g*3)\/(3\/(-2)). Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -274, -962, -2300, -4504?\n\"Answer: -36*w**3 - w**2 + w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10551 - 10554. What is the nearest to -0.1 in 3, -13\/10, i?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**2 - 2*d + 1. Let p be r(1). Suppose 4*y - 2*y - 3*f = -21, 3*y - p*f = -34. Let t = 1 - y. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 728 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10228)\/10*(-145)\/(-232)*-4. Round q to the nearest 10.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108271.\nAnswer: 108271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 258 - 255. Suppose 3*q + 2*g = 2542, 2*q + p*g + 1673 = 4*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2) + (sqrt(98))**2*6.\nAnswer: sqrt(2) + 585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 3*r**2 - 209*r + 1535. Does 3 divide a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/3 - 272*c**2\/3 + 842*c\/3 + 1112\/3 = 0. Calculate c.\nAnswer: -139, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102246517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1112*n**2 + 191*n + 124. Give d(-1).\nAnswer: -1179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(12)\/sqrt(6)*-1 - (-2*sqrt(2) + 0 - (sqrt(2) - (sqrt(8)\/sqrt(4) + 2))))*2)**2.\nAnswer: -128*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/28)\/((169\/1040)\/(30\/20))?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) - ((-1533)\/(-84) - 26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 8*w + 5. Suppose -5*u = -2*u. Let j(t) = -t**2 - 8. Let d be j(u). Let q be z(d). Solve -i = -q*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38985573?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + u**2 - 7*u**2)*(-2 + 2 + u) - 13*u**3 - 1 - u + 14*u**3 - 1.\nAnswer: -5*u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-12)\/((q\/((q\/((q**(-7\/2)*q)\/q*q*q))\/q))\/q) assuming q is positive.\nAnswer: q**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - -22. Let l = v + -94. What is the lowest common multiple of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*z**2 + 6*z**3 - 20 + 7 - 8*z**3 + 0*z + z**3 - 3*z as d + h*z + j*z**3 + g*z**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 96*d + 926. Determine r(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50600 and 50853.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (-33 + 19 + 16 - (2 + -1))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n**3 - 3*n**2 + 2*n + 4. Let f = 37 + -34. What is the units digit of w(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 1. Let r be p(-3). Is ((-19*16)\/(-2))\/r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -3. Let o(q) = -q**2 + 5*q - 2. Let f be o(3). Suppose f*v = 49 + 31. What is the greatest common factor of g and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 5\/((-20)\/(-8)). Let k = 1 - -2. Let o = 3.2 - k. Is o at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.13739 minus -308.56222?\nAnswer: 245.42483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003076 to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 - 129 - a + 256.\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004769 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -413 (b) -85 (c) -6\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2610455 (base 9) in base 7?\nAnswer: -15050633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1188\/72 + ((-4)\/2)\/(-4). Let i(l) = -l**3 + 16*l**2 + 19*l + 8. Let h be i(y). Calculate the highest common divisor of 42 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5948669*q - 8031718 wrt q.\nAnswer: 5948669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -14, 2, 28?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 14 = -4*h. Which is greater: 3\/7 or h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -7 - 2*h**3 + 6*h - 3*h**2 - 3 + 5 - 4*h**2. Let y(r) = -2*r**2 - 5*r + 2. Give 5*t(p) - 14*y(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/8 + 16155*n**2\/8 + 483719*n\/8 - 499875\/8 = 0. What is n?\nAnswer: -16125, -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 + 4*x + 6. Let o(t) = 11*t**2 + 7*t + 13. Let k(m) = 6*o(m) - 13*p(m). Does 9 divide k(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r**2 + 3*r + 3. Suppose 10*f - 4*o = 5*f - 35, -4*o + 5 = 5*f. Let z(h) = -91*h**2 + 28*h + 28. Calculate f*z(g) + 28*d(g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 649224 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {h: 3, i: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = -5728 - 7932. Suppose 12*q - 3155 = -w. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.41 + -3668515921?\nAnswer: -3668515936.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 17*v + 18*v + 28 - 31 = 0, -7*c - 15 = -4*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6304 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 2*f + 7. Suppose -y - 4*w = 2, 0*y + 3*y + w - 5 = 0. Let g(x) = 7*x**2 + 2*x + 15. Let l(u) = y*g(u) - 5*r(u). Calculate l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00176780992 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/((((((n**(-6)*n)\/n)\/n)\/n)\/n)\/n)*n*n*n*n))\/n)\/n)**(1\/40) assuming n is positive.\nAnswer: n**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*l. Let s = 14 + 2. Solve 4*d + s = -l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -401 in ascending order.\nAnswer: -401, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 + 25 = -4*u, -4*u - 15 = -l. Let r(b) = b**2 + 5*b + 5. Let z be r(u). Solve 5*i + 24 = -z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*g = -2, 0*g + 6 = 4*y - 2*g. Suppose y*d - 6*d = 0. Which is bigger: -13\/10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(200\/2800)\/(3\/(-6)*1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3634 = 10*l + 3524 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038561.277 rounded to the nearest 1000?\nAnswer: 1039000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2 + z**2 + 5*z**2 + 2. What is u(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.8, -2714, 1, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -12823*i - 346082. Give o(-27).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3783 (base 12) to base 8\nAnswer: -14223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y - 4*y)*(398*y**3 - 88*y - 398*y**3 - 2*y**4).\nAnswer: 2*y**5 + 88*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 324*w - 19561 + 19561 to the form n*w + k and give n.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -32a6546?\nAnswer: -32a654d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -85. What is the smallest value in 4, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14632979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {w: 7, d: 1, p: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206*t**4 - 495938*t - 940386785 wrt t.\nAnswer: 824*t**3 - 495938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 884445.78\nAnswer: -884445.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99701 or 1295?\nAnswer: 99701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -19*o + 9. Solve -2*l = -2*r + 12, 2*l + 3*r + o = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -44855\nAnswer: 22427.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.118 (c) 16 (d) 2\/9 (e) 0.5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27830654*n**2 + 3*n - 2*n - n.\nAnswer: 27830654*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**4 + 0*s**4 - 2*s**3 - 3*s**4 + 2 + 10*s**4 to the form m*s + l*s**3 + b*s**4 + v*s**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3)\/63*-7)\/(4\/16104)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -522*r + 546. What is c(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*w - 6 - 9, -2*b - 4*w = -18. Let o(l) = -153*l**3 - l**2 - l. Let n be o(b). Calculate the greatest common factor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 21 = 3*z, -8*z = u - 3*z + 23. Let t = -246 - -243. Sort t, -1, u in decreasing order.\nAnswer: u, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -64*v + 138 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*g + 221 - 23 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.67 and -23.96236.\nAnswer: -24.63236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*j - 90*j - 4*j**2 + 3*j**2 + 60*j - 73*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 17*d. Let k be u(12). Let z be (-1496)\/10 + 24\/k. Let o = z - -278. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -20*r**3 + 5*r**2 + 6*r - 8. Let a(g) = -7*g**3 + 2*g**2 + 2*g - 3. Give -8*a(c) + 3*d(c).\nAnswer: -4*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4398*1\/(33\/(-44))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/24*-3)\/((-2)\/4). Suppose 0 = -a*s - 535 + 1739. Do -1 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from {c: 6, i: 3, x: 4, s: 1, w: 3, z: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 10 + 9 = -5*a, 0 = -y - a + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 754753541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/137568 and -7\/240.\nAnswer: 687840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 7:16 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*x - 272*x**2 - 221*x**2 + 522*x**2 - 53*x.\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v + 0)*(9*v**2 + v**2 - 6*v**2) + (19*v - 50*v + 13*v)*(-2*v**2 + 0 + 0).\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7290 and 2736180.\nAnswer: 8208540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1817 from -81585.\nAnswer: -79768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, h: 4}. What is prob of sequence tt?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.442, 11?\nAnswer: -0.442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 371354299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1558, -1539, -1498, -1423, -1302, -1123, -874?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -238733720 to the nearest 1000000.\nAnswer: -239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2750 = -172*i + 297*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdxd when four letters picked without replacement from ddddxdddddx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q**3 - 6*q**2 - 5*q. Give t(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 28 + -110 - 8?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -50*n + 4 + 45*n + 18*n + 9. Let i(w) = -11*w - 12. Let c(z) = -3*d(z) - 4*i(z). Let a = 16 - 22. Give c(a).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (399\/(-152) - (-9 + 6))*8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*o + 18, 6*o - 5*k + 51 = 3*o. Let i = o + 6. Let t(p) = -p**2 - 7*p - 5. Give t(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-325)\/(-50) - (7 + (25\/(-2) - -7)). Let q = 0.1 + 0.1. What is the biggest value in d, q, 4, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + y - 2*y - 11. Suppose -3*o - 32 = -2*h, 3*o - 2*o = -4*h + 8. Let t be c(o). Solve -j + t = 3*n + 3, 0 = -n + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(6\/11)\/c*c*c*((c\/(c*c**(3\/5)*c)*c)\/c)\/c)\/(((c*c\/(c*c\/(c**(-1)\/c)))\/c)\/c)**(23\/2) assuming c is positive.\nAnswer: c**(2527\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 100130102203010?\nAnswer: -100130102203020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130494 and 95266834?\nAnswer: 6214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 5*q**2 - 2*q - 6. Let r(b) be the first derivative of -b**4\/4 - 7*b**3\/3 + b**2 + 9*b + 7. Let v be r(-7). What is d(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35494.\nAnswer: 2, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-114)\/(-36)) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -81 - (-47 - -92)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahsa when four letters picked without replacement from {a: 3, s: 7, h: 9}?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31338 + 31613. Sort x, 5, -26 in descending order.\nAnswer: x, 5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172\/160 - 84\/70?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9\/7 (b) -608 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-9 + 9) - (-2 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 111.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*(sqrt(252) - 2*sqrt(252)) + 1 + 4 + -3) + -2)**2.\nAnswer: 144*sqrt(7) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 + 30*s + 31*s + 3 + 23*s - 81*s. What is r(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 10*i - 10. What are the prime factors of 6\/i + -1 + 36?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92216*y**5 - 60*y - 564 wrt y.\nAnswer: 1844320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 + 258. List the prime factors of p.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:21 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*k**2 + 60*k - 1373*k**2 + 762*k**2.\nAnswer: -k**2 + 60*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 375 - -38?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 > -145\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(1 + sqrt(128)) + sqrt(128)*1 + 4) + (-4 + -5 + -5 + sqrt(128) + 1)**2.\nAnswer: -328*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 10:06 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 - 157 - 2*m + 550 - 141 + (0 + 10 + 0)*(3*m + m - 2*m) - m - 3*m + 6*m to d + s*m and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 34 = 29. Let n = -35 + a. Which is greater: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + 3 - 2 + 1 + (1 + 0 + 1)*(-5 + 0 + 3) + (2 + 4 - 2)*(3 - 1 - 3))*(-33 + 107 - 44)*(0*b + 0*b + 2*b).\nAnswer: -240*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1628, 1634, 1646, 1664, 1688, 1718, 1754?\n\"Answer: 3*l**2 - 3*l + 1628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 286*n**2 + 22*n. Suppose 0 = -2163*c + 2125*c + 114. Let p(d) = 41*d**2 + 3*d. What is c*a(t) - 22*p(t)?\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1075604 - -10?\nAnswer: -1075574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.002 + 0.148. Let o = 0.48 - 4.33. Let v = l - o. Which is the closest to -2\/3? (a) v (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 2\/7, -1289.3, 3\/5, 0, -153?\nAnswer: -1289.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/180 + 157*f**4\/72 + 723*f**2. Factor c(n).\nAnswer: -n*(n - 157)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285425001*o**3 + 13517*o**2 - 875*o wrt o?\nAnswer: 1712550006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6227 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2. Suppose -3*w + 10 = 1. Let k(g) = 4*g - w*g + 3*g - g. Give k(l(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**6 + 1\/6*l**3 + 0 + 0*l**5 + 0*l**2 + 1\/42*l**7 + 0*l**4 + 6*l. What is the second derivative of c(q) wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314 a factor of 74117098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 594 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*d - 153*d + 3 = -3*z, 4*z + 5*d + 8 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(9)\/sqrt(3))*-2 + -5 + -1 + sqrt(11) + ((sqrt(11) - (sqrt(44)\/(sqrt(4)*1) - sqrt(11)))**2 - sqrt(11)).\nAnswer: -2*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 141553577 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101696688*w**5 + 11112*w**2 - 2*w - 1430 wrt w.\nAnswer: -6101801280*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n + 4*v + 82, 0 = -3*n - v - 45. Let r = 1751\/318 + -283\/53. What is the nearest to r in n, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 1261, 3, -221 in decreasing order.\nAnswer: 1261, 3, -33, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/(-5))\/(-6)*5. Suppose -d - 3*d + w = 0. Solve 0 = -d*b - 0*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -290 - -481. Let b = g - 190.9999871. Round b to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -136.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 931665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 563640 (base 8) in base 7?\nAnswer: 1422003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956857?\nAnswer: 11, 37, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1628 - 2464. Let g = v + 1568. What is the units digit of 2\/5 + g\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f = -38 - 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*x + 35*u = 39*u, 5*x - 7*u = 48 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/3, 3, 11, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 637 + -262. Calculate the remainder when g is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (sqrt(36)*-1)\/sqrt(12).\nAnswer: -sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 10) to base 16.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feeeetfdtfde. What is prob of sequence tddt?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1897 - 1880. What is the closest to -50 in p, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 3, 5.\nAnswer: -247, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -543*u - 1. Let o be m(-1). Suppose 0 = -2*i - t + 352, o = -0*i + 3*i + 5*t. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -15. Which is the second biggest value? (a) 0.1 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = 3. Let u be (45 + -4)\/(-5 + 4 + 0). Let m = -23 - u. Solve r = -3*n + m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {c: 6, g: 5, y: 2, e: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*p**3 + 267*p + 47256 with respect to p.\nAnswer: -54*p**2 + 267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.51 + -7476252\nAnswer: -7476250.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -427.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 13*m = -4*a - 25, -2*a = -14*m + 134 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (112\/84*1*3 - 6)*-1. Let t(q) = -11*q + 12. Determine t(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/32))\/(w\/w**(-4\/11)) assuming w is positive.\nAnswer: w**(-117\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjk when three letters picked without replacement from {j: 4, k: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - -1.7. Let w = 11\/28 + -1\/7. Let m = -0.9 + 1. Which is the nearest to m? (a) -4 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1993681 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.2 + 3. Let g = y - -1.7. Let m = -0.082 - -0.152. Put m, 0, -1\/5, g in ascending order.\nAnswer: g, -1\/5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (38 + -30 + -24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152028808 plus -242379.7?\nAnswer: 151786428.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5 = 5*a, -61*a + 2 = -64*a + 4*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-17 - -14)\/((-115)\/65 + 2). Let l(g) = g**2 + 17*g - 17. Calculate l(q).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -3 (c) -2\/11 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 216, 326, 436, 546?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14639279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*o**5 - 51*o**4 + 23*o**3 + 31*o**2 + 6*o = 0. Calculate o.\nAnswer: -6, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5))\/(3\/(-5)). Let k = -43 - -42. Sort 3\/2, a, k.\nAnswer: k, a, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tufu when four letters picked without replacement from {f: 1, y: 5, u: 2, v: 1, o: 5, t: 2}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26853 + 2631539\/98. Calculate the common denominator of r and 79\/2324.\nAnswer: 16268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37168141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 551.5289 to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 - 21*r + 124. Determine i(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1398951 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8838, -8836, -8834?\nAnswer: -8832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26750 and 155150?\nAnswer: 775750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4668268 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -115, -152, -207, -274, -347, -420, -487?\n\"Answer: v**3 - 15*v**2 + v - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*n - 17 - 58 - 42*n - 47*n + 117*n to w*n + h and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-18)\/(-4)*-235 - -2. Suppose 9*a + 659 - r = 0. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -2*j + 18. Let a = j + 63. What is the third derivative of 24*z**4 - a*z**4 + 8*z**2 + 21*z**4 wrt z?\nAnswer: 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 + 2750*u**2\/3 + 2752*u\/3.\nAnswer: -2*u*(u - 1376)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 5*f + 7. Let i be h(6). Let s be (27\/(-18))\/(9\/(-12)). Which is the smallest value? (a) 2\/5 (b) s (c) 0.38 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4318 and 36\/114 - (-6440)\/1748.\nAnswer: 8636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.125*-0.06\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.2, 1.1, 43\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.1 times -9230?\nAnswer: -970073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-3)*1*0 - -6. Let g(r) = 3*r - 3. Let i(l) = l - 1. Calculate x*g(j) - 17*i(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34212920 and 4142.\nAnswer: 4142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -10\/3, -2\/9 in descending order.\nAnswer: -2\/9, -2\/7, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*2*-3)\/sqrt(192) + (2*sqrt(448) - sqrt(448) - sqrt(14)\/sqrt(2)*-3) + -3.\nAnswer: -3 + 41*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5175 is divided by 603?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 6*p - 8*p - 1 = -3, -2*p = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 7*h**2 - 8*h + 2. Let j be 8\/10*45\/6. Suppose 44 = -5*s + 334. Suppose j*z + s = 10. Calculate q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -214, 0.1, -7092 in descending order.\nAnswer: 0.1, -214, -7092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -1\/8*i**4 + 3*i**3 + 0 + 13*i**2 + 0*i - 3\/5*i**5. Factor p(g).\nAnswer: -3*(3*g - 2)*(4*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/2, -0.49, -1\/4.\nAnswer: -0.49, -1\/4, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 times 0.4?\nAnswer: 1404.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/7 in 1\/42, 3, -4, 18\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 - 14*z**4 + 3*z**4)*(0 - 2 + 0)*(-1 - 5 + 4)*(-7 - 1 + 2).\nAnswer: 360*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (7 - -2 - (-3 + 4)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26934 by -3.\nAnswer: 8978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852*g + 406 = 859*g. Suppose 8*x - 290 = 3*x. What is the highest common divisor of g and x?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -234, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - 78\/(-21). Let p = n - -7. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*w - 212*w + 231396 = 0. List the prime factors of w.\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 667*c**3 + c + 2889*c**3 - c.\nAnswer: 3556*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 17. Suppose -2*t + t = 4. What is the remainder when ((-2)\/t)\/(15\/660) is divided by x(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*f - 20 = -3155. Let l(c) = c**2 + 34. Let u be l(0). Let k = u + f. What is the biggest value in 0.1, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v\/v**(1\/4))\/v))*((v\/v**(-3))\/v)\/v)\/(v**(-1\/5)*v*v**(4\/5)))\/(v**(-3\/7)*v\/(v\/(v*v**(-2\/9)*v))*v)**(-1\/83) assuming v is positive.\nAnswer: v**(18647\/104580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57778264.\nAnswer: 2, 191, 37813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1102816 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2225601, -2225598, -2225593, -2225586, -2225577, -2225566?\n\"Answer: a**2 - 2225602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 235 in -8, 134, 2\/15?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-8) assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.079 + 1.359. Let q = d - -0.12. What is the third smallest value in q, -5, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -25.3. Let r = 12 - 12.32. Let d = -0.02 - r. Which is the third biggest value? (a) v (b) d (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 25 (b) 2\/11 (c) 36\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2779*n - 100244 + 242124 = -768*n for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r - 3. Let x(a) = 13 - 4 + 5*a - 4. What is -7*g(u) - 4*x(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 8*v**2 + 3*v + 9. Calculate w(4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - i + 7 = -5*k, 2*k - 2*i + 10 = 0. Let z = -2 + -4. Let t = z - -4. What is the third biggest value in -1\/5, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4188 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((-98 - -113) + -9 + 2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.5, 12372, -0.9, -0.3 in descending order.\nAnswer: 12372, -0.3, -0.5, -3\/4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 10:20 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 + 160077*k**2 = 0?\nAnswer: -53359, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**4*s + 412312*m**3*s + 9106*m*s + m - 3*s wrt m?\nAnswer: 12*m**2*s + 2473872*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007762120812 rounded to seven dps?\nAnswer: -0.0077621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 + 124. Let d = -3\/929 - 64095\/1858. Let p = 33 + d. What is the second smallest value in p, m, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8720, 17438, 26156, 34874, 43592?\n\"Answer: 8718*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 506*m**2 + 25.\nAnswer: -506*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 13*n - 33*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -24*c - 53. Let x = -59 - c. Let u be (56\/x + 1)*(8 + 5596). What is u rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*3\/(-30))\/((-26)\/65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 91, 206, 17, 1 in descending order.\nAnswer: 206, 91, 17, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from ffzffzffrfhffffff.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -249, -714, -1377, -2238, -3297?\n\"Answer: -99*j**2 - 168*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/q)\/q**(-3)*q\/((q*q**5)\/q)*q*q**(-2\/7) assuming q is positive.\nAnswer: q**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -515*g**3 - g**2 - 2*g - 8. Let z(c) = -517*c**3 - c**2 - 3*c - 10. What is -3*r(s) + 2*z(s)?\nAnswer: 511*s**3 + s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 24*f + 28. Let p be r(-13). Let y(o) = 252*o**2 - 5*o + 9. Is y(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -3*g - 176. Let d(y) = -y**2 + 13*y - 1. Let q be (1 + 0)\/((-1)\/(-6)). What is the remainder when d(q) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*(sqrt(448) + -5)**2 + sqrt(42)\/((sqrt(72) - (sqrt(72) - (-5*sqrt(72) - sqrt(72))))\/sqrt(12)))*-6.\nAnswer: -8490 + 1441*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1657? (a) 6 (b) -1 (c) -3 (d) -2\/7 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 0*x**3 + x**3 + (x - x + x)*(-2*x**2 + 2*x**2 - 2*x**2) - 2*x**3 + 3*x**3 - 2*x**3 + 30*x - 30*x - 15 + 2*x**3.\nAnswer: -2*x**3 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.53 - -14.33. What is the third biggest value in 15, 5, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 720 + 5527. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 9\/3 + -2. Suppose -u*m + 609 = 3*w, -w + 188 = 4*m - 0*m. Let p = w + 92. Round p to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w - w)*(-4 + 1 + 4)*(8 + 1 - 2).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -161823?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqknqpm. What is prob of sequence qpn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 10) in base 8?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from xyeppnznznppnpz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3480223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -216, -177, -108, -3, 144?\n\"Answer: o**3 + 9*o**2 + 5*o - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {w: 1, q: 2, i: 1, g: 1, v: 2, x: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 7, q: 12}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 0.3, -1, 1\/3, 1\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1422 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**4\/12 + 3*a**3 - 7*a**2\/2 + 4*a. Let z be l(-14). List the prime factors of 32\/8 - (z + 1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*p**2 - 22*p**2 + 45*p**2 + (1 - 1 + 1)*(0*p**2 + 0*p**2 + p**2) - 4*p + 4*p - p**2 - p**2 + 3 - 3 to the form x*p + a + s*p**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -57*g + 825. What is q(15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = 2*r. Let w be ((2 + -14)\/r)\/1. Round w to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231a (base 12) to base 14\nAnswer: 15d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2052*j*l**2 + 25*j*l + 560*l**2 + 488*l + 1 wrt l?\nAnswer: 4104*j + 1120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 24*f**2 + 63*f - 4. Calculate i(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 - 38*p + 336. Is m(40) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -5 (c) 37\/4 (d) -1 (e) -0.1 (f) -0.0993 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 171 = 17. Calculate the greatest common divisor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyylyylyly. Give prob of picking 1 l and 1 y.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 53 - 9 = 0. Let n(t) = 23*t + 4. Let r(u) = -68*u - 11. Let w(h) = o*n(h) + 4*r(h). Let l(y) = -y. Calculate l(w(j)).\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 3 + (-2 + 0 + 3)*(-1 + 0 - 2))*(-6 - 17*g + 6) to the form l + z*g and give z.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 3*s**3\/7 - 15*s**2\/14 - 6*s\/7 + 61. Factor d(i).\nAnswer: 3*(i - 2)*(3*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 2\/89 (c) 2\/15 (d) -3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66066620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.07 + -28.07. Which is the closest to -0.1? (a) y (b) -0.5 (c) -272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -44, -69?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(175) + 2 + sqrt(21)\/(sqrt(3) + sqrt(12)).\nAnswer: 2 + 19*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*x - 2518 = -502*x - 10162 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -31 + 40 + 2*j**2 - 25. Let n be s(3). Solve 0 = 3*z + 1 + n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*n + 3 = 0, x + 2*n + 235 = -0*n + 248 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/591 less than or equal to 1167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 4*b + 7. Let s(j) = j**2 + 3*j + 8. What is 6*s(i) - 5*t(i)?\nAnswer: i**2 - 2*i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i. Let h(s) = 50*s - 46. Calculate 4*a(k) - h(k).\nAnswer: -14*k + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:12 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4, 2*j + 0*c = c + 104. Factor -h**3 + 61*h**2 - j*h**2 + 0*h**3 - 3*h**3.\nAnswer: -4*h**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090 - 1100 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 2. Let r be i(3). Let v be (-16)\/(-6) - 10\/r. Which is the second smallest value? (a) 0.4 (b) -4\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14788200019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 28 = 3*z, 6*n - 3*n = -5*z - 52. Let u = 11 + z. Determine s so that u - 5\/2*s**4 + 5\/2*s**2 - s + 9\/2*s**3 - 7\/2*s**5 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*n - 187 = -146 - 635 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195 - -195.4. Put j, 1\/3, 1\/10, 22 in ascending order.\nAnswer: 1\/10, 1\/3, j, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by -1\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (2 + -2 + -3). Suppose -3*l - 9 + 23 = -2*t, 7 = l - m*t. What is the third derivative of -l*b**2 + 8 - 8 + 3*b**3 wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - m**2. Let w(o) = -39*o**3 + 6*o**2. Let g be (-184)\/69 - 15\/(-9). What is g*w(u) - 6*x(u)?\nAnswer: 45*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**5 + 243*s**4 + 175*s**2 + 2*s wrt s.\nAnswer: -120*s**2 + 5832*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 174 = -3*d - p, -5*d + 2*p = -291. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.429 + -1.429. Let h = 0.41 - 0.51. What is the second smallest value in -9, y, h, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + (-3 - 0) - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*m + 411*m = -540654 + 500621 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t - 16. Let j be 92\/t*710\/75. Let q = -320\/3 - j. Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389640.\nAnswer: 2, 3, 5, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -1\/2*y**3 + y**2 + 9*y + 1\/12*y**4 + 8. Let c(v) be the first derivative of t(v). Let c(h) = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 12) to base 14\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/(-36)*50\/(-35))\/((-14920)\/20142).\nAnswer: 63\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*o**6 + 139*o**4 + 21*o**2 + 248?\nAnswer: 9120*o**3 + 3336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -30*y**3 + 3*y**2 + 4*y + 1. Let w be j(-1). Suppose -2*q - 22 = -w. Suppose -q = -2*z, 0 = 2*g + 3*z - 47 - 19. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -0.01626346318\nAnswer: -0.48373653682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by -62\nAnswer: 59\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -1\/6, -54\/191, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 52*b**2 + 145*b + 726. What is t(55)?\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -12. Is 1 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 101*l - 1619. Let i be f(-23). What is the greatest common factor of i and 1300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from slftv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s - 5. Suppose 2*m + 6 = 3*u, -4*m = 5*u - 0*m + 12. Give o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-140)\/(-6)) + (-17408 - -17427).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 7*c + 1. Let q be (-4)\/(-1 + (-2 - -2)). Suppose 2*v - 26 = -q*t, 0*t + 2*t - 22 = -4*v. What is the remainder when g(8) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2730)\/(-924) - (1\/2 - (-20)\/8)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**2 + 20*o + 99. Let m be z(-13). Suppose 2*d = 2*n - 1152, -3*n + m + 551 = 4*d. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 a when four letters picked without replacement from cpagccggwrgragg?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17362 + -17362.5. Let y = 645\/7 - 92. What is the fourth smallest value in 1\/10, -2, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -626035, -626036, -626037, -626038, -626039?\nAnswer: -626040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -190. Suppose -z - 5*v = 3*z - 555, z = 5*v + o. Suppose 2*l = 51 + z. List the prime factors of l.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6623.\nAnswer: 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241323 (base 5) in base 13?\nAnswer: -b265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -1\/3*u**3 - 3*u + 0 + 0*u**2. Let n(z) = -3*z - 22. Let y(t) = -15*t - 121. Let x(o) = -22*n(o) + 4*y(o). What is x(m(a))?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -242000 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.494 weeks in nanoseconds?\nAnswer: 225284371200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1011*g**2 + 3*g - 32?\nAnswer: 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 14*w + 724. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0853 and 7.\nAnswer: 6.9147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.573 + 0.673. Sort -2, -4, k, 3\/7 in decreasing order.\nAnswer: 3\/7, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 take away -2.42?\nAnswer: 4.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 221*d. Let x(j) = -2*j. What is q(x(g))?\nAnswer: -442*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80790 + -242368\/3. Let a be (-12)\/(-10)*(-10)\/(-9). Factor a*i**3 + 1\/3*i**5 - c - 2\/3*i**2 - 5\/3*i + 4\/3*i**4.\nAnswer: (i - 1)*(i + 1)**3*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 160, 372, 670, 1054?\nAnswer: 1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -934 - -934.000341. Round s to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174197 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 257 - 60?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35984\/7 + -5120. Let c = -20\/729 + -1761800\/86751. Let s = c + f. Is 1 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 9*l**3 - l**3 + (l - 4*l + 5*l)*(l**2 - 5*l**2 + 5*l**2).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265 + -196. Suppose 3*v = c - 9, 72*c + 5*v = g*c - 15. Solve q + 3 = c, q + 1 - 2 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/9)\/t*t*(t**(-1\/10)*t)\/t*(t*t**(-2\/3))**(-34))**(-21) assuming t is positive.\nAnswer: t**(7273\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 5993893.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1589022 + 4210978 = a. Round a to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, -80, -133, -188, -245, -304, -365?\n\"Answer: -j**2 - 48*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2441.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 906*o**7\/7 - o**3 + 167*o**2\/2 - 1752. What is the third derivative of i(a) wrt a?\nAnswer: 108720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 301\/23 + -579\/46. What is the fifth biggest value in j, -2\/15, 8\/7, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25390.\nAnswer: 2, 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 731936502 divided by -365968251.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*i**4 - 15*i**3 + 15*i**3 + (-1 + 2 + 0)*(3*i**4 + i**4 - 3*i**4) - i**4 - i**4 + 3*i**4 + (-1 - i + 1)*(-1 + 1 + 2*i**3) + 0*i**4 + 3*i**4 - 4*i**4.\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 77.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7527 - 9115 + 3250 = 372*v for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-96*q + 37*q**3 + 96*q)*(14*q - 36 + 36) + 2*q**4 - 2*q**2 + 2*q**2 to y*q**3 + t + v*q**2 + z*q**4 + l*q and give z.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + n - n)*(-n**2 + n**2 + n**2)*(2 - 3 - 1).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {s: 1, r: 1, g: 2, h: 7, x: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 7. Calculate i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175560752929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0 + 0*f**4 - 1\/20*f**5 + 0*f - 5*f**2 + 0*f**3 + 1\/40*f**6. Find u, given that t(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55474081 + 3.71?\nAnswer: 55474084.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 45. Let q(c) = -3*c + 17. Let l be q(-6). Let j = -29 + l. Calculate the remainder when u is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 12*m - 14*m. Suppose -52 = 5*y - m*y. What is the highest common factor of 286 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 - -339. Let p = 237 - f. Solve p = -5*g - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1846796 is divided by 720.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 + 111506*c**3 + 8703400*c**2 + 16960768*c = 0. What is c?\nAnswer: -76, -2, 0, 111584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 5*f**2 + 26*f**2 - 2*f**2.\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -34918?\nAnswer: -104754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.8, 2, -125.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401542?\nAnswer: 2, 200771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10646, 42724, 96184, 171026?\nAnswer: 267250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 2*v + 10*z - 295, z = -v + 155. Let w = v + -142. Let h = 100 + -62. Calculate the remainder when h is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a6e367 + 12?\nAnswer: -a6e355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99567252 to the power of 1\/2, to the nearest integer?\nAnswer: 9978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from {r: 6, u: 4, v: 10}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r = 23*r - 11*r + 4*q + 116, 4*q = 8*r + 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 3*h**4\/2 + h**3 - h**2\/2 - h - 125. Give u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 3 - 3)*(-v**2 - 3*v**2 + 5*v**2) - v + 3336142*v**3 - 3336142*v**3 - 3479*v**5.\nAnswer: -3481*v**5 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 52*a**2 - 277*a + 53. Let r be w(46). Solve 0 = 3*h + z - 2, 0 = -5*z - r - 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*8\/(-8)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -23103?\nAnswer: 23110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134 - 6252?\nAnswer: -6115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195179 is divided by 1435.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2624438945 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 17*j + 190. Let c be p(-11). Solve 2*w + 8 = -t, c*t = t - w - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -7*t**4\/3 - 97*t**3\/6 - 24*t**2 + 25. Let n(v) be the second derivative of b(v). Find the first derivative of n(c) wrt c.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from sosossoccco?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -2\/43, 175, -4, 0, -3 in descending order.\nAnswer: 175, 3, 0, -2\/43, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0. Let a(s) = 13 - 6*s + s**2 - 3*s - 4 + s. Let f be a(7). What is the third smallest value in v, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, -1\/6, 7, 2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*c**2 + 805*c + 1566.\nAnswer: (c + 2)*(11*c + 783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 + 12*l**2 + 57*l**3 - 60*l**3 + 8*l**2.\nAnswer: -3*l**3 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -1. Let i be (-2)\/(-8) - (w - 7). Which is the biggest value? (a) 0.4 (b) i (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -18baa?\nAnswer: -18ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**6\/180 - 115*w**3\/6 - 2*w - 2. Let n(s) be the second derivative of g(s). Let d(a) = a. Determine n(d(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 430855060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0)*(-6)\/(-84)*-4\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + m. Let l(q) = -9*q**3 + 88*q**2 - 241*q + 50. Let y(i) = 4*c(i) - l(i). Determine n so that y(n) = 0.\nAnswer: 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (352\/66)\/((-23)\/((-759)\/154))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 - 18*i**2 - i + 0*i**2 + 30*i**2 - 17.\nAnswer: 22*i**2 - i - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.9086 weeks in hours?\nAnswer: 135896.6448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -121370 and -1312.8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -12 - (6 + 19 - 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 145619*h + 3234. Let p be b(4). What is p rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*b + 23 = 0, 2*j - 2*b = -2*j - 6. Let n = -15 - -5. Let k(u) = u**3 + 10*u**2 - u - 12. Let d be k(n). Put j, d, -1 in ascending order.\nAnswer: d, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(220) + -2*sqrt(110)\/sqrt(2))\/(sqrt(11) + sqrt(704) + sqrt(704)*2 + sqrt(22)\/sqrt(2)*-4).\nAnswer: -4*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 5*t + 18. Does 14 divide j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1095? (a) 195 (b) -0.5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 - 6. Let d = 4982 - 4979. Let w(s) = 1. Let m(u) = -11*u**2 + 19. Let h(q) = m(q) - 2*w(q). Let n = 12 + -4. Calculate d*h(z) + n*p(z).\nAnswer: -z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/24 and (8\/(-6))\/((-33843)\/(-1363) + -31).\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 - -231 - (-1 - (-64 - 3)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0598 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -660, -701, -786, -927, -1136, -1425?\n\"Answer: -2*l**3 - 10*l**2 + 3*l - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/6)\/((-9)\/(-12)). Let f = k - -6. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -106.6. Let o = 3.9 + -3. Let v = o + c. What is the third biggest value in 5, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -283, -9 in decreasing order.\nAnswer: 5, -9, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - -193.\nAnswer: 192.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = x. Let g = -927325\/695496 + -1\/231832. What is the closest to -0.2 in g, x, -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 521 and 344241893.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 1 - 33. Suppose 5*l - 109 = -9. What is the lowest common multiple of g and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 185013, 185010, 184995, 184962, 184905, 184818, 184695?\n\"Answer: -x**3 + 4*x + 185010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3159, 4467, 5789, 7131, 8499, 9899, 11337, 12819?\nAnswer: 14351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -29*t + 306. Is 61 a factor of i(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/2400)\/((-2)\/20) + 1*9\/90.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/((w\/(w*w**(2\/7))*w)\/w*w))\/w))**7)**(-3\/22)\/((w**(-2\/7)*w\/(w*w*w**(3\/2))*w)\/(w**(4\/3)\/(w*w*w\/w**(-2\/3)))) assuming w is positive.\nAnswer: w**(-1009\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1396757 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-203))\/(8232\/28812).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212054007 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -983797, -983041, -982285?\nAnswer: -981529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 9, l: 1, f: 4, k: 4}. What is prob of picking 2 k and 1 n?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Let g(r) = -r**3 - 5*r**2 - 2*r + 5. Let v be g(-4). Let n be k(v). Let y(a) = -a**n - 280 + 280. Let l(w) = 3*w. What is y(l(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -30. Let g = y + -39. Round g to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/680 and -111\/1360.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 49.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 1\/3*n**3 + 2*n**2 + 0 - 1\/8*n**4 - 1\/12*n**5 - 1\/120*n**6 + 0*n. Does 14 divide o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 14. Let m(q) = -q**2 + 6*q + 3. Let a be m(n). Suppose -a = -o + 4. Solve 0 = -3*g + o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*h - 27. What is the greatest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**4 - 27*f**3 + 3*f**2 + 243*f + 210 = 0.\nAnswer: -2, -1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32047 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4220015, -4220010, -4219993, -4219958, -4219899, -4219810?\nAnswer: -4219685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + q + (-7 + 2 + 3)*(-4*q + q + q))*(q**3 + 0*q**3 + q**3 + (-1 + 1 + 2*q)*(0*q**2 + 0*q**2 - 2*q**2) - 27*q**3 + 8*q**3 - 22*q**3).\nAnswer: -215*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1813548211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 92*f - 1129. Let y be k(-103). Calculate the highest common divisor of y and 2124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and (1\/1*-1)\/((-4)\/108).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, j: 1, q: 2, p: 1}. Give prob of picking 1 j and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179 - -277. What is the least common multiple of j and 4?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*u + 12 = 0, w = -3*w - u - 12. Let q(h) = h**2 + h. Let s(n) = -n**3 + 4*n**2 + 4*n - 2. Determine w*q(c) + s(c).\nAnswer: -c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -268\/3 (b) 2\/7 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:44 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*12*3. Let t be (-40)\/o - (-6)\/(-27). Suppose t = 4*f - 78. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r**2 + 5*r. Let a be (1\/1 + 4)*1. Let x(h) = 0*h + a*h - h**2 - 6*h. Let p(j) = -w(j) + 4*x(j). Find the second derivative of p(k) wrt k.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*a - 2. Let k(f) = -4*f + f + a*f. Let b(r) = 4*r**2. Give k(b(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 7*b - 118. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1624 + -1?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 1. Let v(b) = -2*b**2 - 1. Let q = 6 - -1. Let t = -3 + q. Suppose t*m - m - 3 = 0. Calculate m*v(z) - s(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 9. Let o be p(-8). Let s(y) = 8400000*y**3 - y**2 - y + 2. Let a be s(o). What is a rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674963751.\nAnswer: 1674963751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 54 (c) 1016 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(133)*-2 - sqrt(133)) + sqrt(133)))\/(sqrt(448)*2).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 3, -5, 6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741050 divided by 1825?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4 = 0, -12 = 4*f - l - l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10)*1020\/(-12036))\/(2*(-9)\/12).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)\/sqrt(3)*3 + sqrt(9) + (sqrt(54)\/sqrt(6)*6 - sqrt(9)))\/(-1*(sqrt(3) - -1*sqrt(3)*3)*1))**2.\nAnswer: 243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 2, y: 1, e: 1, n: 1, g: 1}. What is prob of sequence yng?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 6, l: 1, v: 1, t: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -2 (c) 1\/6 (d) 1\/9 (e) 83 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 0.8. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t**3 - 2*t**2 - 59*t**3 + 8*t**2 - 7*t**2.\nAnswer: -118*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + 38. Suppose 4 = -4*d - 12. Let k(j) = j**3 + 6*j**2 + 7*j + 6. Calculate the remainder when m is divided by k(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1570 and 34854?\nAnswer: 174270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 12*y**5 + 2*y + 19*y**5)*(-3 + 3 + 6).\nAnswer: 42*y**5 - 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 134a38 (base 12) to base 9\nAnswer: 536158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**3 - 2*o**4 - 5*o**2 + 2 + 5*o**2 + 2*o**3 - o as w*o**2 + y*o + z*o**3 + v*o**4 + t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69a171 (base 13) to base 5.\nAnswer: 1120211123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10314461, 10314457, 10314451, 10314443, 10314433, 10314421, 10314407?\n\"Answer: -l**2 - l + 10314463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njihhijnhjnhinjjnnn. What is prob of sequence ih?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 14*n + 6*n + 5 as k*n + i and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 + 2*h**4 + h**4 + (-2*h - 2*h + 2*h)*(-4 + 2*h**3 + 4) + (2*h**2 - 2*h**2 - 4*h**3)*(-2*h + 4*h - 3*h).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:15 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 - (-340)\/6. Let z(m) = -15*m - 3*m**2 + 22*m + 4 - m**3 + 7*m**2. Let v be z(5). What is the greatest common divisor of j and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-10))\/((-2)\/15). Let a = p + 10. What is the greatest common divisor of 252 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -101?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-1 + (-93)\/(-21)))\/(296\/6216).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37798, 66192, 94588, 122986, 151386?\nAnswer: 179788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -207.26 + 1.1\nAnswer: -206.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1 + 0 + 0 + 62*u**2 + 283*u**2 + 2*u. Is h(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 130*g + 12*g**3 - 61*g**4 - 129*g - 12*g**3 to x*g**2 + u*g**4 + r + v*g**3 + k*g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19894*c**2 + 5827*c**2 - 1063 + 1063 in the form p*c + u*c**2 + w and give u.\nAnswer: -14067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*v**2 - 68*v**2 + 185*v**2.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*p + 1102 = 234 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 5. Let k be n(0). Let l be 0 + (-28)\/(k + -1). Is (l\/(-14))\/(2\/3228) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 7 - 7)*((0*q - 3*q + 2*q)*(4 + 1 - 2) + 2*q + 2*q - 2*q)*(-2 + 4 - 1 + (2 - 3 + 0)*(2 + 1 - 2) - 357 + 183 + 224).\nAnswer: -200*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 909 = 2*y, -17*c = -y - 16*c + 453. What is the greatest common factor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118519 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37787481331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*p - 97 = 0, -4*p - 34 = -6. Suppose -2*k = 2*k - 696. What is the remainder when k is divided by i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 205468123*z + 36301548 wrt z?\nAnswer: 205468123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*54.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 1\/65, -3, 2049, 2, -0.9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23368 = -34627*i + 34119*i for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by -1704320\nAnswer: -37\/1704320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + 4*q + 7. Suppose -12*o - 12*o = -24. Let u(y) = -y**2 - y + 2. Let a(j) = o*v(j) - 3*u(j). Determine a(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -6. Is (-6)\/(-9) - 48\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -2 - 1*2. Suppose -4*y - r = u*r - 135, y = -5*r + 21. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - -4)\/(2 + 408\/(-201)). Let v = j - 114. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {h: 1, p: 4, a: 2, g: 4, b: 3}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -72*g + 933. Let d be x(13). Let s(a) = -a**3 - 2*a**2 + 3*a. Give s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -0.5 (c) 9\/4 (d) -0.2 (e) 1.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -6. Let x = 458\/21 - 155\/7. Which is greater: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let p = 213 + -211. Let m(t) = 89*t**p + 35 - 2 - 33. Give n(m(y)).\nAnswer: 89*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**3\/2 - 95*p**2\/2 + 275*p\/2 + 1815\/2 = 0. Calculate p.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 3*q**2 + 4 - 962*q - 122*q**2 + 962*q + (-3 + 3 + q)*(-2*q + 0*q + 4*q).\nAnswer: -117*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 2 h when four letters picked without replacement from mimhmmhohhoihmhhhp?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from {h: 1, p: 1, q: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.18, 2\/65, 1\/61, -4, -0.4?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*a**3*w**5 - 1369838*a**3*w**3 - 1910*a**3*w - 2*a**3 - a**2 + 6*a*w - w wrt w?\nAnswer: 340*a**3*w**3 - 8219028*a**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7449 is divided by 748?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 122715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, 404385, -0.4 in increasing order.\nAnswer: -2, -1, -0.4, 3, 404385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 3, z: 5}. What is prob of picking 2 b and 1 z?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + sqrt(1872) + -1)**2.\nAnswer: 72*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41490 and 147?\nAnswer: 2033010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46968 and 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319060, 318838, 318616, 318394, 318172, 317950?\nAnswer: 317728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 117700 divided by -4\nAnswer: -29425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 507*k**5\/5 - 2691*k**4\/5 - 24558*k**3\/5 + 1548*k**2 - 120*k = 0.\nAnswer: -5, 0, 2\/13, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405478*c + 1596 = -405402*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149406 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + -1. Let c(r) = -r**2 - 6*r + 8. Let d be c(w). Let h(f) = 19*f**2 + 1. Calculate the remainder when h(d) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 6*n + 30. Let w be c(-9). Suppose -3*i - 4*t = -w - 7, 0 = 2*i - 4*t. What is the remainder when 3 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 plus 785965073?\nAnswer: 785965125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.056829 litres?\nAnswer: 6056.829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**3 + 3*t**2 - 5*t + 7. Let s(y) = 11*y**3 + 4*y**2 - 7*y + 10. Give 7*j(g) - 5*s(g).\nAnswer: -6*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-14)\/162) - (-708)\/1652. Solve 3*n = p - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 43. Let v be r(-20). Suppose -h = -9 + v. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1 + 0*v - 6*v + 5*v. What is y(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 276 = 3*r, 414 = 3*m - r + 5*r. Suppose m = 4*l + 38. Let k = 8 - -2. Calculate the greatest common divisor of k and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 46*v**2 - 30*v - 15. Let p(y) = -6*y**2 + 4*y + 2. Let w(r) = 2*b(r) + 15*p(r). Let a(f) = 6672*f**2. Give w(a(s)).\nAnswer: 89031168*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 4)*(-12)\/(-24). Solve 0 = -3*v + k*w + 27, -4*v + 3*w = -2*w - 41 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 25. Let t be 4\/v - (-1424)\/72. Suppose -4*r = u - t, -2*r + 4*r - 5*u = -12. What is the highest common divisor of 32 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 0*p + 5*p - 4 + (0 + 1 - 3)*(186 + 9*p - 186) + (-3*p + 4*p + p)*(-3 - 2 + 3) as s + i*p and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2651 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906064.6ug to kilograms.\nAnswer: 0.0009060646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31388 by 532.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692161?\nAnswer: 692161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 24 + 332948\/(-25300) + -9 + -2 + 0.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 495, -3, -4.\nAnswer: -4, -3, 5, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66031\/40359 - -1\/3669. Let p be (-131)\/(-33) + (-1)\/3. Solve p*b**2 + 4\/11 + c*b**3 + 26\/11*b = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3984*j = -3437*j - 348787 for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 + 8 + (-6)\/(-7) and -1\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 235 = -8*k. Let t = -58 + k. Which is smaller: -12 or t?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 1\/3 (c) -1\/127 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366723 and 1781226?\nAnswer: 12468582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(162))**2*4 + sqrt(24)\/((sqrt(72)*1)\/sqrt(6)) + 1.\nAnswer: sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -137. What is the remainder when 225 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.670699 to one decimal place.\nAnswer: 170.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxf when three letters picked without replacement from {x: 1, a: 1, j: 1, n: 2, f: 1, o: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 4339654\nAnswer: -4339649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -8 - 7, t + 3*l = 141. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 27390 = -5*n, o - 3*n + 13694 = 3*o. Suppose 6*q + 4*q - o = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -3*s - 665. Suppose -5*l + 59 = 2*b, -3*b + 5*l + s = b. Suppose -b = -n - n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(2160)*-5 + sqrt(2160)))\/(6*(sqrt(80) + sqrt(80)*1) + ((sqrt(80)*1 + sqrt(80))*6 - sqrt(80))).\nAnswer: 54*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 136 - (3 - (-2 - -1)). Let z = -79 + p. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 110\/4*16\/20. Suppose 47*p - 53*p = 18. Let x = v + p. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*o + 4*o + 94 = 0, 0 = -3*s + o - 286. Is ((-15144)\/s)\/((-2)\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1196)\/(-115))\/13)\/(((-2816)\/(-20))\/8).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 152 (b) 103 (c) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 + 0.05. Which is the closest to 0? (a) -1.6 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**6\/160 + f**4\/32 + 27*f**2\/2 + 36. Let v(b) be the second derivative of d(b). Factor v(j).\nAnswer: -3*j*(j - 1)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.237 and -0.024144.\nAnswer: -0.261144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20349)\/(-378))\/323*(-100)\/(-2))\/((-1)\/(-15)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 197*p**4\/18 - 185*p**3\/36 - p**2\/4 - 1651*p. Factor x(l).\nAnswer: (4*l - 1)*(197*l + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 82950*z**2 + 248885*z + 165930.\nAnswer: -5*(z - 16593)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950 is divided by 159.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 982846 and 5.08.\nAnswer: 4992857.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 6. Let v be h(-10). Let r = v + -1. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-11)\/(-7))\/(1693\/(-47404))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q - 2*m + 2, 4*q + 5 = 5*m. Suppose -2*t = -2 - q. Sort t, -3, -7.\nAnswer: -7, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 11*u**2 - 15*u - 7. Give i(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:43 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 12*v = -4. Let z be 543 - 5*2\/5 - v. What is the greatest common divisor of 49 and z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2907*h - 2903*h - 14 = -2*j, 5*h - 15 = -5*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -3, -0.33, 0?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/11 and -44\/18476475.\nAnswer: 203241225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r**(2\/21)*r)\/r)\/r)\/r**(-5))\/(((r\/r**2)\/r*r)\/r)**(1\/3))**(4\/15) assuming r is positive.\nAnswer: r**(80\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 93*x**3 - 27*x**2 + 26*x + 2. Give s(1).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, -47, -180, -451, -908, -1599?\n\"Answer: -8*q**3 + 3*q**2 + 4*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208557551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 3. Let w = -53 + -184. Let r = w - -234. Calculate g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -23. Suppose 3*n - 6*r + 2*r + 25 = q, 4*n = -r - 46. Let j = -6 - n. Calculate the greatest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnnv when four letters picked without replacement from nvvnnnngvvggnn.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q. Let d(f) = 3*f + 11. Let n be 8 - (-22)\/(-11) - (1 + 3). Let l(o) = 1. Let b(x) = n*d(x) - 22*l(x). What is h(b(y))?\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 - (185\/(-72) - 1) and 55\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008 and 70?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1908877450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 27 = 4*i. Suppose -5*c - 532*n + 528*n + 227 = 0, 0 = -4*c - n + 197. What is the remainder when c is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*m - 37*m - 40*m + (-4 - 5 - 8)*(4*m - 7*m + m).\nAnswer: -31*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -2, -2\/5299, -4, -1\/2 in descending order.\nAnswer: -2\/5299, -1\/2, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l + 5. Let w be 6\/(-27) + (-32876)\/(-36). Suppose 0 = 7*m - 878 + w. Let k(s) = -1. Determine m*k(c) - r(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x - x**2 + 4*x)*(125*x - 56*x - 7*x + 3) to s + t*x + v*x**2 + l*x**3 and give l.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 3:25 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:27 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 7 in descending order.\nAnswer: 7, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**4 + 13173*x**3 - 65916*x**2 + 105492*x - 52752 = 0.\nAnswer: -4396, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2104 - 764. Suppose -i + q = 3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15854 by 44.\nAnswer: 7927\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/3, 28, -2\/31, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154982 - 237982. Round m to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/(-4) - 1) + 54\/(-8) + 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1472*-3\nAnswer: 4416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -2\/13 (b) 3 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 6003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 80 = -5*m, 32 = 4*m - p - 3*p. Solve 3*g + g - m = 3*w, 4*w = 5*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 s when three letters picked without replacement from ssussshssuusu.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -8*j + 1249 - 1106, j - 10 = 3*d for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooooouoooooo. Give prob of picking 3 o.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 29, 82, 157, 254?\n\"Answer: 11*i**2 - 2*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84373*y + 0 + 0 + 87561*y)*(3*y**2 - 3*y**2 + y**2) to the form j*y**2 + r*y**3 + x*y + c and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 1135.6086729\nAnswer: -1136.0086729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a decade in months?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7 - 6) + -3 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r**2 - 2*r + 2*r + 889*r**2.\nAnswer: 911*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 4 - 4.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000111 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 293.3, 2\/5, 5, -1\/22?\nAnswer: 293.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/9*18\/(-15). Suppose 6*k = u*z + k, -k - 18 = -4*z. Let p = z - 4. What is the biggest value in -2\/9, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/8)*(z*z**(-4\/9)\/z)\/z)\/(z**(1\/4))**(1\/2) assuming z is positive.\nAnswer: z**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(21\/(-6)) - (1060 - 9). Let a = 2304 - c. Is a 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 2:24 AM and 6:39 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/7)\/(g*g\/(g\/(g*g\/(g**5\/g)*g))) assuming g is positive.\nAnswer: g**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = 56. Factor 5*l**3 + 2*l**2 + 15*l - g*l**2 - 2*l**3 - 6.\nAnswer: 3*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3824924.06 to the nearest one hundred.\nAnswer: 3824900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, k: 10, t: 1, y: 1, n: 2}. What is prob of picking 2 k and 1 m?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-5)*(-5)\/(-3). Let l(x) = x + 1. What are the prime factors of l(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 17. Let w be c(-9). Let u be ((-14)\/(-35))\/(w\/(-130)). Let f = 64 - u. Solve -5*s + 6 = 2*x, -s = x + 3*x - f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -101, -131, -173?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/7)\/144*2*1. Let j(a) be the second derivative of 0*a**2 + 0 + 12*a + h*a**4 - 1\/9*a**3. Factor j(u).\nAnswer: 2*u*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 13300000. Let b be w(0). Round b to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3, 2*y + 4*c - 2*c + 58 = 0. Let w be y\/(-8) + (-1)\/4. Suppose 0*z = w*z - 36. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*b - 3*b. Suppose b*c = t + 3*t + 293, -c + 49 = -4*t. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(475) + sqrt(475) + -2 + 2)**2 + 4 + -2.\nAnswer: -20*sqrt(19) + 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and -11\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -114484341933 + 232.1\nAnswer: -114484341700.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.634\nAnswer: 0.1902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by (-9)\/6*170\/(-3 - 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - p**2 + 0*p**2 + (-3 + 5 + 6)*(-3*p**2 + 10*p**2 + 4*p**2).\nAnswer: 87*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1570 + 3164. Calculate the highest common factor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*n + 107*n = 196*n + 135 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 6*t + 3. Let j be x(-6). Suppose -j*a + 37 = 5*y, 0 = 5*y - 3*y - 4*a - 20. Calculate the greatest common divisor of 56 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -185.4564 to 1 decimal place.\nAnswer: -185.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, -2, -66 in increasing order.\nAnswer: -66, -2, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1573 and 715.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*y - 19 + 29, -4*m + y + 13 = 0. What is the closest to -4 in -1, 11\/4, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.214621 rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/7 or 1061?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -332, -446, -504, -488, -380?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - h**2 - h + 1. What is n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.11747 + -2.2?\nAnswer: -3.31747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 12*s**3 - 81*s**2 + 162*s + 648.\nAnswer: 3*(s - 6)*(s - 4)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + -0.7. Let b = -73814 + 73813.95. What is the closest to -0.1 in q, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 + 0.06. Let j = -198 - -196.83. Let y = 0.77 + j. Put 3, y, 1, v in descending order.\nAnswer: 3, 1, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61902 is divided by 292?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/128, 5, -85, 1\/5, 29?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q + 6 = 0. Let s be -1*(q\/(-3) - 2). Solve -5*w = -s - 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 39. Let x be p\/2 - 70\/(-21). What is the second biggest value in 7, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 0.086537.\nAnswer: 0.213463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 28*m - 3*m - 3 + 5*m. Suppose 16*n - 20*n + 2 = 3*g, 0 = 2*n + g - 2. Is z(n) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40680.3962 + 40216.395818. Let r = -464 - g. What is r rounded to 5 dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 1166, 1382 in decreasing order.\nAnswer: 1382, 1166, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e4e5 + b?\nAnswer: -e4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-3)\/16)*(-6969)\/(-92)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59383192 to the power of 1\/2, to the nearest integer?\nAnswer: 7706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*w - 3 = -5*w, 2*p + 3*w - 8 = 0. Let a = -1084 - -1093. What is the greatest common divisor of p and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/7, 0, -0.2, 55\/4?\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1892 and 3254636.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pno when three letters picked without replacement from {o: 8, p: 6, n: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h**3 - 373*h**2 - 821*h + 1425. What is j(-39)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 26. Suppose i + 14 = 5*s. Suppose 48 = -74*n + 50*n. Sort n, 2, 0, s.\nAnswer: n, 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 11*t**2 - 2*t**2 - 2*t**2 + 0*t**2 + 3*t**2 + (2*t**2 - 3 + 3)*(-1 + 0 + 2) - 6*t**2 - t**2 + 0*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let q(o) = 6*o. Suppose -2*j - 3*j - b + 16 = 0, 0 = -2*b - 8. Let p = j - 3. Determine p*q(v) - 2*h(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z - 4859 = -44*z + 49*z for z.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qlssqqqo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 30812?\nAnswer: 92436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 + -186. Solve -r*d - 2*d - 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*i**2 + 558*i**2 - 16*i**2 + 495*i**2.\nAnswer: 805*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1.63\nAnswer: -6.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13091560 is divided by 71.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + -170 - (-12 + -12)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -560*s**3 + 3*s**2 - 6*s - 22. What is the units digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*o**2*x**2 - 11*c**2*o*x**3 - 3*c*o**2*x**3 + 2*c*o**2*x**2 - 18*c*o*x**3 wrt c.\nAnswer: 4*o**2*x**2 - 22*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11372.8 + 11373. Which is smaller: 0.559 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 22 = -3*b - 7*h, h + 2 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231627 is divided by 3174?\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 15*v + 16*v + (-2 + 1 - 1)*(2*v - 5*v + 5*v) - 2*v + 3 - 3)*(-8*v**2 + 9*v**2 + v**2).\nAnswer: 58*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -141, -217, -307, -417, -553?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c + 7. Let j(t) = t - 3. Let a(y) = -2*y + 3. Let v(k) = -4*a(k) - 5*j(k). Determine -4*s(f) + 9*v(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most 218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18671 + -163?\nAnswer: 18508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 3863\/3 (c) 4 (d) 17 (e) 2\/3 (f) -2 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -2, -1\/6, 0.3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b3040 + -4?\nAnswer: 5b303a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1389.9 + -1319.9. What is the fifth biggest value in 1, n, -0.4, 4\/7, -0.01?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17130 - 17116. Let j(g) = g**3 - 2. Let a(u) be the third derivative of -u**6\/40 + 7*u**3\/6 - u**2. Determine p*j(c) + 4*a(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 + 1 - 3) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 32. Let k be r(-16). Suppose -2*j = 3*c - k, 2*j + 32 = 2*c + c. Suppose c*b = 3*b + 25, 4*l - 2*b + 6 = 0. Solve l + 3 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/468 and 181\/1170.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45*4\/48 + 6\/(-8). Let o be (i + -5 - -4) + 2. Solve -o*v + 6 = 2*b + v, 5*b = v - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22842274 to the nearest integer?\nAnswer: 4779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 9*r - 59. Let a be t(-14). Sort 3, a, -10.\nAnswer: -10, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103920*y**4 + 3*y**2 - 5*y - 1735?\nAnswer: -1247040*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311214220 (base 5) to base 10.\nAnswer: -1273060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 7*y + 10. Let h be x(-8). Let r(d) = 5*d**2 - 20*d - 13. Let u(m) = m**2 - 5*m - 3. Let z(a) = h*r(a) - 9*u(a). Is z(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Suppose -4*r = -5*x + x - 48, -y*r = -x - 60. Let h be (30\/(-8))\/(r\/(-16)). Solve 2*d = -2*p - 2*p, -h*p = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*p - 15. Let h = -0.02 - 3.98. What is the nearest to 2 in -2, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886070553.\nAnswer: 3, 29, 10184719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15692999?\nAnswer: 7, 449, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 324*q + 11. Let y(m) = -972*m - 34. Let g(u) = 7*c(u) + 2*y(u). List the prime factors of g(1).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**6\/120 - 137*p**3\/6 + p + 19. Let n(d) be the second derivative of a(d). Let g(z) = -13*z. Give n(g(h)).\nAnswer: 507*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y + y)*(1 + 2 - 4) - 1 - 3*y + 1 + (-2 - 1 - 6)*(0*y - y + 2*y).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 7:57 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1751 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 6. Let b be 1 + (6\/p - -11). Let i be -1 + b\/((-12)\/4 - -5). Let q(y) = -2*y + 3. Calculate q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34\/5? (a) -0.1 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31146480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12229787, 24459569, 36689347, 48919121, 61148891, 73378657, 85608419?\n\"Answer: -2*g**2 + 12229788*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**2 - 2*d. Let z be v(-4). Calculate the highest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5431 smaller than -5429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-9) + 1)*-12. Suppose -4*z = -3*z - 3*h + 2, -3*z + s = -2*h. Suppose z*k + 2 - 6 = 0. Solve -4*y + 4*m = -k - 15, -y = -3*m - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(0 - -4)*(6345\/90 + -70).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 961 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 2\/5, 64\/51, 25, 0, -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -184.878 to one dp.\nAnswer: -184.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = 3*i. Let l(m) = 1. Let y(u) = 2*u - 6. Calculate i*y(r) + 6*l(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-452)\/(7\/21*54) - (-2)\/18.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from allajlx. Give prob of sequence allx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -3)\/(3\/1728003) - -5. What is m rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10*a\/a**(-7\/3) assuming a is positive.\nAnswer: a**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16600 and 27821600.\nAnswer: 27821600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31203078.\nAnswer: 2, 3, 1327, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.44 + 0.74. Let a = t + 22.6999833. Round a to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4511.9 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-252)\/24)\/((-6)\/1060). Let a = b - -14430. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2594742*i**2 + 1779698*i wrt i.\nAnswer: 5189484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/183, -5, 2 in descending order.\nAnswer: 2, -2\/183, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/3, 0.1, -3\/4, -4.\nAnswer: -4, -3\/4, -2\/3, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 - 5*o**3 + 9*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15*-0.07\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = -w - 4*v, 4*v = -20. Let j(p) = 6*p**3 + 7*p**2 + 17*p + 10. Let i(d) = -5*d**3 - 5*d**2 - 14*d - 9. Let t(c) = 5*i(c) + 4*j(c). What is t(w)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 >= -29\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3*z**2 + 0*z**2)*(0*z + 4*z - 3*z + 0*z - 3*z + 2*z + (1 - 13*z - 1)*(-4 + 2 - 1)).\nAnswer: -78*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3811, 1 in descending order.\nAnswer: 3811, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*v = -2. Suppose -4*a + v*r + 115 = 3*r, 5*a + 3*r = 149. Find the common denominator of 67\/2 and (8\/(-2))\/((-10)\/a).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 2*h**2 - 3*h**2)*(-20*h - 71 - 67 + 119) + 0*h**3 + 0*h**3 + 2*h**3 + h + 2*h**3 - h + (-3*h + 2*h + 3*h)*(2 + 2*h**2 - 2).\nAnswer: 28*h**3 + 19*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*3*sqrt(170)*-2)\/((1*sqrt(100)\/sqrt(2))\/(sqrt(5) + (sqrt(5) - sqrt(55)\/(sqrt(11)*1)))).\nAnswer: 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11778*k**3 + 2*k - 2*k - 8245*k**3 - 948*k**3.\nAnswer: -20971*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14)*-7)\/((-31)\/(-62)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111100011110000011 (base 2) to base 16.\nAnswer: -1bc783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*h - 704910 = 0, -656053 + 2065859 = 2*w + 3*h. What is w rounded to the nearest 10000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c + 146. Find the common denominator of ((-4)\/(-12))\/((-1)\/(-68)) and (-2)\/(-1) - c\/(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**4\/24 + o**3\/6 - 5*o**2. Let y be v(-6). Solve -s = -4*i - 13, s = i - 0*i + y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 36*b - 19*b - 12*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.983 to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5349, 5548, 6091, 7152, 8905?\n\"Answer: 29*l**3 - 2*l**2 + 2*l + 5320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -0.2, 0, 192.2, -0.22, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 50*x - 5562. Determine v(108).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 7*o**2 - 6*o - 6. Let x be k(-6). Which is smaller: x or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 208, -13.\nAnswer: -13, -2, 2, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/3 + 3)*21. Let m be (-12)\/42 - 8080\/p. Suppose -409 = 5*x - m. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -994 and 362 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1568 = 171480*y - 171431*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120173 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 11:14 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4449?\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3864*c**3*l**2*n - 2*c**3*n - c**3 + 7*c**2*n + c**2 + 2*c - 18375*l**2*n - 2*l**2 - 504*l*n + 6 wrt l.\nAnswer: -7728*c**3*n - 36750*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:01 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337359 = -4*z + v, z + 204*v = 202*v + 84342. Round z to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*k*t**5*y - 208*k*t**2*y + 29*k*t - 9*k*y - 3*t*y - 2*t + 52*y - 1 wrt t?\nAnswer: -820*k*t**3*y - 416*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*-20*(-6)\/(-36). Let -6*i + i**4 - 9 + 12*i**3 - o*i**3 + 8*i**2 + 6*i**3 + 8*i**3 = 0. Calculate i.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65514\/12595 + -4\/2519. Which is the closest to 1? (a) x (b) 0.5 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827 is divided by 74.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2007*a + a**2 + 2*a**4 - 2*a**3 + 8*a**3 + 2018*a + 1 to d*a + u*a**3 + h*a**4 + c*a**2 + o and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 856 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 + 0*h**4 + h**5 + (4 - 1 - 1)*(-1 - 4 + 4)*(5*h**5 + h**5 - 4*h**5).\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-5)*z)*z\/z**(-2))**17\/(((z**(-2\/5)*z)\/z)**(1\/11)\/(z**0\/(z**(-1)*z))) assuming z is positive.\nAnswer: z**(7482\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 4*a - 5. Let j be n(-5). Suppose -2*r - 5*y = 7, 8*r - 11 = 3*r - 3*y. Suppose f = -r*f + j. Calculate the highest common divisor of f and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39\/5 + -43\/5. Let n(x) = -2*x - 4. Let y be n(2). Let k be 2\/((-120)\/(-25)) - 2\/y. Sort k, -4\/7, u.\nAnswer: u, -4\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (8 - -11) + -42 + 27 + 63.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**7\/210 + 31*h**6\/40 + 5*h**4\/24 + 10*h**3\/3 + 151*h**2. What is the second derivative of m(w) wrt w?\nAnswer: -12*w**2 + 558*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001.917 millennia in months?\nAnswer: 12023004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -164 + 164. Suppose l = -6*t - 37 + 49. Suppose -2\/11*b**t - 4\/11 - 6\/11*b = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnf when three letters picked without replacement from {f: 2, d: 7, n: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i - 6. Let k(x) = -16*x + 14. Let h(t) = -3*k(t) - 7*q(t). Let s(u) = -315*u. Calculate h(s(d)).\nAnswer: 315*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-4\/3)*o*o))\/o)**(-2\/23)\/((o**(-1\/8)\/o)\/o**(-1\/18)))**(4\/19) assuming o is positive.\nAnswer: o**(1867\/7866)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2418 (b) 0.3 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(-13) - 4\/(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87329 - 17268 = 3994*s - 13987 + 97108 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 272*v - 147*v + 0*v**2 - 2*v**2 + 2*v**2 + 2*v**2 + 4 - 4 - v**2 + 2*v**2 + v - v + (5*v - 2*v - v)*(-2*v - 4 + 4) + 2*v**2 + v**2 - 4*v**2.\nAnswer: -4*v**2 + 125*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:18 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6468206137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {j: 5, q: 1, v: 1, l: 1, b: 1, u: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j - 10*j - 11749 = 0. Suppose -79 = -30*v - j. Let k(w) = w + 10. Determine k(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472 and 30554.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/13)*b*b)**(8\/9))**(2\/111))**5 assuming b is positive.\nAnswer: b**(3200\/12987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696 and 435.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 667*v + 21952. Determine o(40).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-10 - (-2 - 2)) + -7) - -7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -91. Let o = -73\/95 + 7\/19. Which is the nearest to d? (a) 0.5 (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76090169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -2, 8, 32, 76, 146, 248?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 14*m**3 + 28*m. Let g be -1*(-6)\/(-12) + (-1)\/2. Let s(y) = -y**3 - y. Let a(l) = g*s(l) + n(l). Find the second derivative of a(r) wrt r.\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b + 36. Let s = b - -71. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0135899 and 1.\nAnswer: -0.0135899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22 + -5)*(1 + -84). Let m = z - -1413. Suppose 3\/4*u**m - 1\/4*u**4 - 1\/4*u**3 - 1\/2 + 1\/4*u = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((-2)\/1)*89\/(-178)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5470)\/(-5)*(-1)\/(-2). Suppose -a + 212 = -5*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*t - 23 = -3*j - 7*t, 679 = -113*j + 6*t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a + 224 = a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/28*-7*15. Solve k = 3*d + 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39173.85 meters in millimeters?\nAnswer: 39173850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let n(y) = -5*y**2 - y - 4. Let u(d) = -23*d**2 - 6*d - 18. Let v(p) = 9*n(p) - 2*u(p). Calculate v(m(k)).\nAnswer: k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4534\nAnswer: -3\/4534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q**2 - 4*q**3 + q**3 - 26*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98019 - 3730040*z + 98019 + 3730042*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*v = 284*v + 48. Let g = 4 - -1. Suppose -g*z + 13 = 3*r, 41 = 3*z + 2*z - 4*r. Solve z*d + v = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q. Let y(u) = -2*u + 5 + u + q*u. What is y(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18586 + -18582. Which is the nearest to 1? (a) -25\/9 (b) -5 (c) -3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203 + -143. Differentiate -2*u**3 - 7 - 118*u**2 + 58*u**2 + q*u**2 + 38*u with respect to u.\nAnswer: -6*u**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 5*v**2 - 8*v. Let d be i(-6). Let o be d\/(20\/5) + 1. Suppose 5*u = o*u. Solve 0*w - w = u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 272640 and 0.2.\nAnswer: 54528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 141?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 7*h**2 - 1. Let p be g(7). Let t be (-5)\/15*(p - 11). Suppose t*r - 21 = 7. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.6 - 16. Let q(u) = u**2 + 3*u - 12. Let p be q(-7). Let k be (p\/(-4) - -2)\/4. Which is the closest to k? (a) 3 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + -0.26. Suppose 3*c - c - 8 = -5*t, t = -5*c + 20. Let g = -1395 + 1394. Put t, h, g in decreasing order.\nAnswer: t, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 66, 0, 3794.\nAnswer: -3, 0, 1, 66, 3794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + -1 + (-24 - (20 - 22 - 17)) + 9.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o + 758*o**2 + 1 - 44*o - 17*o + 67*o as x*o**2 + z + u*o and give x.\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64764 and 2393433.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97259097.\nAnswer: 3, 13, 197, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2 + 10*r - 4*r - 13*r. Let l(q) = -4*q + 1. Give -10*l(j) + 6*x(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57335 divided by 8?\nAnswer: 57335\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20270 (b) 1.33 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -0.4.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 396*h**4 + 66*h**3 - 198*h. Let k(l) = l**4 + l**3 - 3*l - 1. Let s(r) = -d(r) + 66*k(r). What is the first derivative of s(q) wrt q?\nAnswer: -1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94880298 and -1.\nAnswer: 94880298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.938 + -14.7101. What is r rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112001 + 2?\nAnswer: 2112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -21*o - 38. Let i(x) = -11*x - 20. Let k(r) = -5*i(r) + 3*w(r). Let h be k(-2). Factor 0 + 0*n + 1\/6*n**h.\nAnswer: n**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/3989 and 25\/4?\nAnswer: 15956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 8, k: 2, w: 1, p: 4}. What is prob of sequence ff?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r + 23. Let x(y) = -8*y + 46. Let w(q) = 11*b(q) - 6*x(q). What is the derivative of w(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 76. Let n(g) = 4*g - 22. Let d be n(z). Let y be (-1)\/d + 20\/24. Which is the nearest to -2? (a) -4 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -5*c, -58*d + 57*d + c = -7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/226 - 479\/2034. Let f = -46.48 - -45.48. Which is the second biggest value? (a) k (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - w + (2 - 2 + 2*w)*((-3 - 4 + 4)*(-4 + 5 + 0) - 2 + 2 + 2).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94190696.0358 less than 672?\nAnswer: -94190024.0358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fddkffdjdfj. Give prob of sequence jfd.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58.87 - -91.4. What is o rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((39\/9)\/(-13))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*(-5)\/((-105)\/28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6881 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-276)*6*(-2)\/7*-5?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 - -4)\/(5\/18*-3). Let l be 1 + 1 - 2 - -4. Does 13 divide (l\/b)\/(16\/936)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*u + 138*u + 232*u + 5*u = 31176 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*l - 721*l + 697 - 5884 = 4821 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -3 + 8 + 11 - 3*z**3. Let j(b) = -4*b**2. Give y(j(l)).\nAnswer: -144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48625 - 29094. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 209514474?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.239 - -0.539. What is the second biggest value in 0.1, 7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*j - 4*j = -6, -2*c + 15 = 5*j. Suppose -h + 4*w + 22 = c, -3*h = w - 1 - 0. What is the remainder when (-30)\/(-4) + h\/4 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3743838 by -691.\nAnswer: -5418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m + 3*b + 15, -3*b - 30 = -3*m. Calculate the highest common factor of m and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*k*t**4 - 2*k*t**2 - 10*k*t - 12*t**4 + 13*t**3 + 38*t**2 wrt t?\nAnswer: 192*k*t - 288*t + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 18. Let v = -4 - k. Suppose -3*a + a = v*o - 21, -2*a + 18 = 2*o. Solve -2*s + a = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 450 = -285. List the prime factors of n.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11409 - 11367. Solve -b*a = -41*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002433.\nAnswer: 277, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/197 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let k(n) = n - 9383. Determine k(f(c)).\nAnswer: c - 9383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 44083882*12\nAnswer: 529006584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 5*a = 13*j + 1, 4*j - 10 = -2*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134201*t**3 + 7922*t - 11 wrt t.\nAnswer: -805206*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*u**4 - 61*u - 1 - 5*u + 151*u + 0 - 32*u**5 wrt u?\nAnswer: -640*u**3 + 156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 890333277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.48? (a) 0.1 (b) -2 (c) 17 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 9*f**2 + 4. Let x be q(-9). Let y = -11 + 15. Suppose 4*m + 20 = y*j, -3*j - 3*m - 7 = -4*j. Solve -2*l + x*l = 2*a + 4, -a = j*l - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/30 + b**2. Let y(m) be the third derivative of 0*m**3 - 3*m**2 - 1\/6*m**4 + 0 + 0*m. What is t(y(z))?\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 4:38 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1036544 (base 8) to base 4\nAnswer: 1003311210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 2. Suppose 10*a - 2 = 8. Suppose 0 = -3*d - a + 10. Calculate o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20433333703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002242489305 rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60 or -64?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -1\/3*m**3 - 2*m - 45 + 1\/2*m**2. Let z = -2 + 2. Give k(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135*j**2 - 37975*j + 11240.\nAnswer: 5*(j - 281)*(27*j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 12*d - 16*d + 13182, -3*d = -b + 6566. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55989 is divided by 1537.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(6)\/sqrt(2) - 1*(sqrt(3)*2)**2).\nAnswer: -8 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 - -246. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-3934\nAnswer: -3931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)\/j)\/j**(-12) assuming j is positive.\nAnswer: j**(97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/3 - 2*d**4\/3 + 48*d**3 = 0.\nAnswer: -9, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4729 + 56*a - 4729 to b + r*a and give r.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17703 and 2016.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1734506.1 months to years.\nAnswer: 144542.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/10 - (-2)\/5. Suppose 5*k - 2*k + 5*b = 2647, 4*k = -3*b + 3511. Let h(f) = -f**2 - 1758 + 880 + 4*f + k. What is h(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50*(-4 - (-44)\/8). What is the highest common factor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34234*o**5*x + 23*o**2*x**2 + 285407*o*x**2 + o*x - 3*o wrt o.\nAnswer: -684680*o**3*x + 46*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -12, 28, 84?\n\"Answer: 8*o**2 - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 5.\nAnswer: -83\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h - 6*h. List the prime factors of (-2)\/h - 2394\/(-54).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = -24*x - 112. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + (0 - 3) + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3201301 (base 4) to base 8\nAnswer: 34161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1)\/3*(-186)\/2 and (-6)\/(-9) - (-352)\/66?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138977 times 4\nAnswer: 555908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 373877.\nAnswer: -3\/373877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 0 (b) -0.4 (c) -2 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 0*y**2 + 3*y**2)*(-26*y**3 - 19*y**3 - 96*y**3).\nAnswer: 141*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41820.\nAnswer: 2, 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((55\/33)\/((-5)\/(-18)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:00 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 4*j**2 + 6*j - 41. Determine d(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let l = 2.1 - x. Let j = 19 - 18. What is the nearest to l in 3\/2, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0 - 1\/20*z**5 - 3*z + 2\/3*z**3 + 3\/2*z**2 - 1\/3*z**4. What is the units digit of m(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q**2 - 95*q + 95*q)*(-1 + 4*q**2 + 1) + q**4 - 8*q**2 + 6*q**2 + q**4 + (0*q**3 - 4*q**3 + 3*q**3)*(-q + 3*q - q).\nAnswer: -63*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 147*b - 674*b - 3.\nAnswer: -821*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 11, 0, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1742 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(171) - -2*sqrt(171)*-5)\/(sqrt(9) + (sqrt(9) - sqrt(9)*-1*1)).\nAnswer: -3*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 18*c**2. Let p(h) = -h**2 - 1. Let i(k) = -3*k**2 - 2. Let w(n) = -2*i(n) + 4*p(n). Give j(w(q)).\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 225 = -4*w, -5*l - 237 = -4*w - 2*l. Suppose -g = -3*y + 66 - 27, 5*y = -g + w. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 12 - ((-3 - 8 - 55) + 13).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-110))\/(10\/75).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0156577 and 6.\nAnswer: -0.0939462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -2*y + 7\/2*y**2 + 1. Let k(n) = -6*n + 2. Give -5*k(v) - 4*u(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 17 = -22. Let l be 1*(-3 - 2) - -221. Let c = 221 - l. Calculate the remainder when g is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(176) + (sqrt(176) + 2)*1 - (-3 + 2*sqrt(176))))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14849)\/2395)\/(10\/50)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2215146.732 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 10 = -14*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)\/(sqrt(18)\/sqrt(3)))\/sqrt(7) + (sqrt(49)\/(sqrt(7) + 2*sqrt(343)))**2.\nAnswer: 7\/225 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1092 + -1091.3. Which is the closest to d? (a) -1\/4 (b) 2\/13 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -155, -3, -9.\nAnswer: -155, -9, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -16. Suppose -l + 5 = 2*y, 2*y + u*l - 9 = l. Let r(a) = 9*a. Let g be r(0). Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1902\/(-15) + 1\/(-5)*1. Let a = f - -132. Suppose -3*n = 2*y - 55, a*y - 67 = -4*n + 53. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 37, 18, -5, -2492 in decreasing order.\nAnswer: 37, 18, 4, 3, -5, -2492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*c**2*j - 960966*a*c*j - 2*a*c - 2*c**2*j - 391387*c**2 wrt c?\nAnswer: 4*a*j - 4*j - 782774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1574 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6 and (-5)\/(-10)*101\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + f**2 - 7*f - 5. Let a(q) = 3*q**3 - q**2 + 7*q + 6. Determine -5*a(x) - 6*s(x).\nAnswer: -3*x**3 - x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 768 + 704 = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 0*s + 1\/156*s**4 + 1\/52*s**6 + 1\/105*s**7 + 1\/546*s**8 + 0 + 32*s**2 + 7\/390*s**5 + 0*s**3. Suppose z(u) = 0. What is u?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2160 = 410*n - 425*n. Suppose 3*c + 15 = -15. Let w = n - c. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6*u = -3*u. Find m, given that -7\/3*m**4 + u + 0*m - 2*m**5 + 2\/3*m**2 + 1\/3*m**3 = 0.\nAnswer: -1, -2\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (1 - 0) + 2. Let s(q) = 3*q - g - 6*q - q**2 - 2*q**2. Let x(d) = -8*d**2 - 8*d - 11. Let z(k) = 11*s(k) - 4*x(k). Factor z(t).\nAnswer: -t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -21.7. Which is the biggest value? (a) h (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + b + 81 = 19*i + 5*b - 91, -i - 5*b + 11 = 0 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-5)\/2*12\/60\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in millimeters?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4\/4 - 8*f**3\/3 + 4*f**2 - 5*f + 8. Let d be x(7). Let u = -394 - -4340\/11. Are u and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 22*h + 22. Let r be g(-21). Which is greater: r or -2\/227?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24838.486 rounded to the nearest ten?\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*n - 0*u - 66, -3*n - u = 109. Let z be 1*2\/(-10) - 77\/n. What is the closest to -1 in z, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**3 + 5870*b**2 - 29*b - 90 wrt b?\nAnswer: 36*b + 11740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(4212) - 2*sqrt(4212))\/(sqrt(128)\/sqrt(8)) + ((-2*(1*sqrt(91) - sqrt(91) - sqrt(91)))\/(-1*sqrt(847)))**2.\nAnswer: -9*sqrt(13)\/2 - 553\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 26*h - 4*h - 13*h as t + z*h and give z.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 295 = b, -3*d - 3*b - 205 = -8*b. Is -60 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -2 + 2\/3*n**3 + 0*n + n**2. Factor b(m).\nAnswer: 2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*n, -2*s - 8*n + n + 355 = 0. Is s <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 6*v + 4. Let b be t(7). Suppose -5*o + b = -29. Let j = o - 3. Solve -j*k + 0 = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(44)\/sqrt(4)*-6 - sqrt(11))*-3 + (-5*(-1 + sqrt(1331)))**2*-2.\nAnswer: -66604 + 1121*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-3395)\/(-15))*-3834. Let l = 1132238 - m. What is l rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 1 + (-10)\/(-1). Suppose -i = 3 - k. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 42 = -11*m. Suppose 2*r = m*r + 20, 0 = -w + 4*r + 119. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 - 15 - 5*f**2 + 5*f**2 + (f**3 - 4*f**3 - 4*f**3)*(0*f + f + f) in the form h*f + p*f**4 + o*f**3 + r + x*f**2 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 9*n**2 - 36*n + 10. Let y be z(12). Calculate the lowest common multiple of 8 and 984\/30 + 4 - 8\/y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11765 - 0.5\nAnswer: 11764.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g. Let b(x) = -46367*x. Give b(i(k)).\nAnswer: 139101*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 8*i - 9. Let y be g(-7). Is 1*((-92)\/y - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j - 3*j - 5*j + 0*j + 6*j + (-5 + 1 - 1)*(j + j + 0*j))*(12 - 5 + 5)*(-4 + 1 + 0).\nAnswer: 396*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 15. Sort l, 2, 5\/2 in descending order.\nAnswer: l, 5\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16191219 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.62 - 0.08. What is the closest to n in -2, -0.4, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -209616 to the nearest 1000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -7147350260.\nAnswer: -7147350256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 2648491947.80686?\nAnswer: 2648491948.30686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4379\/(-3) + 2\/3. Let j be (-81536)\/(-39) + 6\/(-9). Let o = s + j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18502580?\nAnswer: 2, 5, 19, 23, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(2) - 6*sqrt(8) - (sqrt(2) - (0 + sqrt(2) + 0))))*6 + 4*(sqrt(2450) + (sqrt(2450) - sqrt(2450)*-1))*-1)**2.\nAnswer: 5832*sqrt(2) + 472428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -3936148\nAnswer: -27553036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364679659.\nAnswer: 37, 257, 38351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-27))\/(3\/(-33372)*-18))\/(58\/(-261))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 9. Suppose 2 = y - n. Suppose -y*u + 2*u - 3*w + 679 = 0, 0 = 5*u + 4*w - 1687. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2257.\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 602*z**2 + 11900*z - 132704.\nAnswer: -2*(z - 319)*(z - 8)*(z + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14*f**2 - f + 6. Let v(c) = 1. Let y(n) = -u(n) + 4*v(n). What is the tens digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 + 285*d**3\/4 - 1092*d**2 + 4304*d.\nAnswer: -d*(d - 269)*(d - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3940882.\nAnswer: 2, 11, 271, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*(10 + 2). Suppose 0 = i*h - 2*h - 176. Let v(y) = 2*y + 14. Let g be v(-5). Calculate the greatest common divisor of h and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41141 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*n**3 - 60*n**3 - 197*n**3 + 2 - 3 - 63*n**3 + 2*n as o*n**3 + d*n**2 + b + f*n and give o.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-5009*d - 89*d**5 - 451*d**5 + 5009*d).\nAnswer: 540*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(-17\/4)*s)))**24)**(-10) assuming s is positive.\nAnswer: s**780","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 576 - 566. Let v(f) = 12*f**3 - 15*f**2 + 78*f + 7. Is v(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 504312901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7433510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -6599604.\nAnswer: -1\/2199868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 14*h**2 - 208*h + 410. Let u be c(2). Solve 129 + 71 = -u*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 27897 = -4*t - 27895, 0 = -5*n - 3*t + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -449.11 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 0*j**2 + 0*j - 1 - j**3 + 1\/2*j**4. Find the third derivative of h(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -3, 0, -21 in increasing order.\nAnswer: -21, -3, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.36, 0.3, -37, -3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 7 = -d + 2*d, -5*z = 4*d - 7. Solve -d*i + 14 = -8*i + y, 5*y = 2*i + 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/(-18))\/(((-160)\/705)\/8) and 133\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s - 198. Let i be l(31). Is (-16)\/(-24)*4322*i\/(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0 - (-4)\/(-2)). Suppose 17 = r + l. What is the remainder when 30 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.9 - -50.75. What is the third biggest value in b, -2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 143?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -231001112311?\nAnswer: 231001113001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 1352724253242.\nAnswer: 1352724253242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 511*b + 503*b - 13 - 5 - 1012*b. Let y(r) = -2. Give 2*d(c) - 18*y(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let s(m) = 1. Let q(y) = -3*k(y) - s(y). Let v be q(6). Solve -5*z + 13 = -3*z + 3*o, z - v = -4*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 14 - (-2 - 29 - -128 - -17)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-16 - 17) + -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 108, 5, 4, -1\/3, -39 in decreasing order.\nAnswer: 108, 5, 4, -1\/3, -1\/2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2, -133, 0 in decreasing order.\nAnswer: 2, 0, -2\/11, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1007 - 391. Let d be (-8)\/18 + h\/252. Solve -d + 16 = 7*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200328989.\nAnswer: 7, 19, 37, 40709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785839535?\nAnswer: 5, 13, 17, 29, 137, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -2*o - 2*o + 4, -5*o - 30 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (28 + (104 - 46))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172 + 197. Solve 13 = 4*w - w + 2*p, 4*w = 5*p + d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92011088909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 362773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 1360950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 7*s + 7. Let y be d(-6). What are the prime factors of y\/8 + (-1230)\/(-16)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q - 6 = 3*t, 6 = 3*t. Suppose 0 = 5*k + 2 + q. Does 4 divide (-4)\/(1*k\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.27 in -2, 11, 0.9, 0, -5.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 1, -0.2, 20, 1\/12, 0.35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Let g = 68 - 67.42. Let j = -0.18 + g. Sort -2\/9, j, f.\nAnswer: -2\/9, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348, 698, 1048, 1398?\nAnswer: 1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -11, 5, -7 in ascending order.\nAnswer: -15, -11, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (690\/498663*73)\/(2\/22).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2953 is divided by 731?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*i + 27*i - 119 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from {d: 1, u: 2, b: 1, e: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 1. Let c(i) = 8*i**2 + 9*i + 6. Give -c(t) - 6*k(t).\nAnswer: -2*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386 = 4*m + h - 0*h, 2*h + 971 = -m + 871 for m.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 38*j + 1404 = 0. Let c = j - -823. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.081 times -378\nAnswer: -30.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 110996 to the nearest one hundred.\nAnswer: 111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4581595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-88)\/77*(1\/(-4))\/1. What is the third smallest value in -3, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(180)*-2 - (sqrt(180) + (sqrt(180)*-1 + sqrt(180))*-1)) + -1)**2.\nAnswer: -132*sqrt(5) + 21781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77890396 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 1 (c) 312 (d) 0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (-5*(sqrt(80) + 0))**2 - (0 + 1*sqrt(80) - (sqrt(80) + (3*sqrt(80)*-1)**2 + sqrt(80))).\nAnswer: 4*sqrt(5) + 2718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2968088991?\nAnswer: 3, 7, 613, 230567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 874459611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(-231)*476\/884?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1790 - 1797. Which is the second smallest value? (a) -0.5 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(7))*1*3)**2 - ((-2 + sqrt(28)\/sqrt(4))**2 + -5).\nAnswer: -14*sqrt(7) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:06 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147878 is divided by 18456.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:02 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 28. Let x = -216 - -128. Let j = 176 + x. Calculate the highest common divisor of j and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 20 - 9) + 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 11*q - 5. Let l(b) = b**2 - 3*b + 2. Let v be l(4). Let s be f(v). Let z = s - 15. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4148, 1 in increasing order.\nAnswer: -4148, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmamqauaaaaqaqd. What is prob of picking 1 a and 1 d?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31701?\nAnswer: 3, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -358, -467, -548, -589, -578, -503?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4463, -3432, -1719, 676, 3753, 7512?\n\"Answer: 341*k**2 + 8*k - 4812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 11*q**6\/120 - q**5\/60 + q**4\/6 - 2*q**3\/3 + 4*q**2. Is 4 a factor of d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.07 - -0.87. Let r = 3 - 3. Which is the nearest to r? (a) x (b) -4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 n, and 2 x when four letters picked without replacement from {u: 2, g: 1, n: 5, x: 2, q: 4}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/11 (b) -1\/2 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 26948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 3326283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1218 + 7397\/6. Find the common denominator of r and -62\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 644 and -0.2.\nAnswer: 643.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 2*o + 5. Let n be t(0). Suppose 3*u**2 + n*u**3 + 7*u**3 - 4*u - 5*u**3 = 0. What is u?\nAnswer: -1, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779393373?\nAnswer: 1779393373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63778589 and 3010.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343 + 342.984. Let n = -0.2 + 0.866. Let a = t + n. Round a to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 907709 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**7\/525 - y**6\/75 + y**5\/50 + y**4\/15 - 4*y**3\/15 + 8*y**2. Factor o(g).\nAnswer: 2*(g - 2)**2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 246 = s, -7*s = -2*s - 5*v - 1330. Let q = s + -210. Let k = -71 - -104. What is the remainder when q is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 390970049, 390970048, 390970047, 390970046, 390970045?\n\"Answer: -z + 390970050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/80)\/((-5)\/(700\/15))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Suppose 3*n = 5*v + 26, l*v + 0 + 6 = -5*n. Find the second derivative of 4*g**2 + 4*g - 5*g - 5*g**n wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*w - 5, 4*w + 7 = -2*q + 3*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5194.7 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28958*n**4 + 5*n + 965 wrt n?\nAnswer: -347496*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4668388.\nAnswer: 2, 233, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -279243 - -279238. Let v = -2.8 + 3. Sort b, 4, v in increasing order.\nAnswer: b, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100011100000011 (base 2) to base 9\nAnswer: 136746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 1. Let g = 24 - 20. Let o(j) = g*j - 1 - 4 - 5*j + 1. What is -6*m(d) - 2*o(d)?\nAnswer: -4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 22*r + 20 - 50 + 3 - 43 - 10*r. Calculate the remainder when 856 is divided by k(13).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42713, -85428, -128129, -170810, -213465?\nAnswer: -256088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + r**2 - r**2)*(r + 0 + 0) - r**3 + 0*r**3 - r**3 - r + r**3 + r - r**2 - 55*r + 55*r + 2*r**3.\nAnswer: -r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/22)\/(8187\/(-12)). Let g = -3332129\/300190 - x. Calculate the common denominator of 53\/12 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 127*x - 998. Let j be i(8). Solve -23*n = -17*n + j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 f when three letters picked without replacement from {m: 3, f: 2, c: 2, q: 3, u: 3, b: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2725357 and 10?\nAnswer: -27253570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/5 (c) -1.1 (d) -4663 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**3\/7 - 96*a**2\/7 - 3072*a\/7 + 27. Determine i, given that r(i) = 0.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81*((-2)\/8*5)\/((-285)\/(-152))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -10. Let q be (76\/3)\/((-10)\/m). Is ((-19)\/q)\/((-2)\/1636) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6*u - 52 = -u, -4*s + 4*u = -80. Calculate the least common multiple of s and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p - 5*y = 72, 5*p + 2*y - 151 = 0. Calculate the remainder when 105 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98101730, 196203461, 294305192, 392406923?\n\"Answer: 98101731*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7239745)\/(-35))\/((-153)\/(-1071)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 218 and 5863873?\nAnswer: 11727746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*h + 6 = -3*h, 0 = -3*t - h - 14. Let a be (-2)\/7 - (-16)\/7. Sort 1, t, a in increasing order.\nAnswer: t, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 11:25 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 9:11 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(1088))**2 + 2 - (0 + -4*sqrt(1088)*2)**2)*-5.\nAnswer: -80*sqrt(17) + 342690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2004 and 11224404?\nAnswer: 11224404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i. Let f = 29 - 26. Suppose -4*n = 5*x + f - 5, 5*x = -5*n. Let g(b) = -b**2 - b**2 + 4*b**x + b**2. Give k(g(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 24 = 4*m. Calculate the greatest common divisor of m and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 5, u: 1, m: 3, f: 6, l: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, h: 1, q: 2, o: 2, j: 2, m: 1}. What is prob of picking 1 h and 1 v?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -8*l - 57. Let w(v) be the first derivative of -v**2 + v + 14 + 10\/3*v**l. Give w(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4346589300 rounded to the nearest 1000000?\nAnswer: -4347000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91 + 0*a - 4*a - 33*a**2 + 28*a**2 + 3*a wrt a?\nAnswer: -10*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {l: 7, m: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)*8\/12. Suppose -d = 3*g + d - 22, n*g + 3*d - 13 = 0. Find the third derivative of -9*y**5 + 0*y**4 + g*y**2 - 2*y**4 + 2*y**4 wrt y.\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186449 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -408 + 424. What is the highest common factor of 496 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**3 + 13*b**2 + 6*b + 1. Let x(a) = -20*a**3 - 38*a**2 - 17*a - 3. Let h(d) = -17*c(d) - 6*x(d). Determine h(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in -1, -1.7, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvmmnnvnnmnmvm. Give prob of picking 1 v and 1 m.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/14 (b) 2 (c) -108 (d) 7 (e) 2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40, -51, -76, -121, -192, -295?\n\"Answer: -b**3 - b**2 - b - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = -0. Let c(x) = -x**2 - 4*x - 3. What is the units digit of c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17532489 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 15*j + 59. What is t(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2118*p**4 - p**3 + 37*p + 621.\nAnswer: 25416*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z + 15*z + 68*z**2 - 47*z**2.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + 117. Let q = 623 - o. Let s = q - 456.00309. What is s rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45493, 99596, 162321, 233674, 313661, 402288?\n\"Answer: q**3 + 4305*q**2 + 41181*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*u - 3. Suppose 0 = 4*i - 0*s - s - 13, 3*i + s = u. Solve 5*l + 2*h = 14, 2*h = -i*l - 3*h - 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/198170 and -87\/277438.\nAnswer: 1387190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*j + j - 3289 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1895526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r - 1\/168*r**8 + 0*r**4 + 0*r**6 + 3*r**2 + 1\/20*r**5 + 0*r**3 + 0 + 0*r**7. What is the third derivative of d(x) wrt x?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010 + -1?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 83*g - 107. Calculate the least common multiple of j(5) and 6.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.02773 + 0.02773. What is the closest to 0 in 1\/78, s, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3 + 6 - 90*j**2 - 4 - 5 + 134*j**3 wrt j?\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from {i: 3, c: 9}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - 2*k**3 + 5*k**3 + (0 + 1 - 3)*(-1 + 1 - 2*k**3)*(-6 - 318 + 43).\nAnswer: -1123*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**16*h*h*h\/(h\/h**(-1\/8)) assuming h is positive.\nAnswer: h**(151\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32919 + -0.4.\nAnswer: 32918.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*a - 2*a. Let b = -5 + a. Let v(z) = -17*z + 4. Is v(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uguuuuuuwaaa. Give prob of picking 1 a and 1 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, 0, 5104 in decreasing order.\nAnswer: 5104, 1, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2557584?\nAnswer: 2, 3, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 262, 975, 2388, 4735, 8250?\nAnswer: 13167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*j - 5537 = 329*j. Calculate the highest common divisor of j and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 328, 500, 676, 856, 1040?\nAnswer: 1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, -4, 0, -124, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 37*m - 39. Calculate c(37).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1419 divide 1816410039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 4547*k - 191734. What is m(43)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17387 + -660705\/38. What is the closest to z in 0.4, 1.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*z + 1293 + 44*z**2 - 9863*z**3 - 39*z**2 - 4*z**2 + 7*z wrt z?\nAnswer: -59178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8712374, 8712388, 8712416, 8712464, 8712538, 8712644, 8712788?\n\"Answer: s**3 + s**2 + 4*s + 8712368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -31. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, and 1 f when three letters picked without replacement from {f: 2, r: 1, i: 1, s: 1, e: 2, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + -11 + 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2473, 9936, 22375, 39790, 62181, 89548?\nAnswer: 121891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -429 + 1268. What are the prime factors of o?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5431065 and 1230.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9150 divided by -5.\nAnswer: -1830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4463 + 4518. Calculate the remainder when 274 is divided by i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*a**4 + 631*a**3 + 35*a**2 - 345622*a?\nAnswer: -156*a**2 + 3786*a + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t - 3. Let p be x(2). Suppose -p*g + 49 = -76. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8219 - -2609. Find the common denominator of ((-8)\/(-9))\/(-2)*f\/544 and 1\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**12)\/(o*o**(-2\/15)))\/(o\/(o*o*o**(-12))*o*o**0))**(-3\/8) assuming o is positive.\nAnswer: o**(179\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/3 - 3 - -30 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 5 + 5 - 4*p**3 + 4*p**3 + 3*p**3 + (-p + 2 - 2)*(0*p**2 - p**2 + 0*p**2) - 2*p**3 + 4*p**3 - 3*p**3 + 12 + p**3 - 12)*(2*p + 0*p + 0*p).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 1.2. Put 1\/6, y, 2\/17 in descending order.\nAnswer: 1\/6, 2\/17, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 734071361?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**28\/(n\/(n**(-6)\/n))*(n**(-7)*n)\/(n\/n**(-2\/13)))**(-13) assuming n is positive.\nAnswer: n**(-167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 19*w + 6 - 13 - 4*w to u*w + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 15*s - 2. Let b be q(-8). Suppose 203 = -13*i + b*i. Let r = i + 32. Solve r*n + 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4779 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 45, 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -297665, -593808, -889951?\n\"Answer: -296143*f - 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213108.9 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*y**2 - 7*y**3 + y**2 - 6 - y**2 + 0*y**3 - y**2 wrt y?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kunaq. What is prob of sequence un?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -131, 2468, 1 in descending order.\nAnswer: 2468, 3, 1, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = -27. Let u = 5 + d. What is the units digit of (u\/5)\/(2\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 9, 5, 367 in decreasing order.\nAnswer: 367, 9, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3366.1 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t**2 + 6*t - 1. Let b be d(-1). Solve 0 = q + 3*q + b*y - 17, 4*y = 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36594781?\nAnswer: 29, 1261889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -38, 313198 in decreasing order.\nAnswer: 313198, 8, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, 10, -0.2 in ascending order.\nAnswer: -14, -3, -0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**2 + 3*c**3 + 5*c - 10*c**2 - 2*c**4 + c**2 + c**4 in the form h + g*c**2 + y*c + z*c**3 + d*c**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 508958.8 days?\nAnswer: 43974040320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9941009?\nAnswer: 13, 19, 167, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 38. Let d(x) = 17*x + 19. Let v(k) = -8*k - 9. Let u be (-12)\/1 + (0 - 1). Let b(g) = u*v(g) - 6*d(g). Calculate b(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -876 and -0.01.\nAnswer: 8.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 526 = -7*g + 3*g, -4*u = -g - 714. What are the prime factors of u?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.472303 to three dps.\nAnswer: 0.472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 135553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -783924*i - 2*i**2 - 11 + 783924*i. Let o(n) = 6*n**2 + 32. What is -4*o(f) - 11*v(f)?\nAnswer: -2*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -4.9\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 8*l**2 - 4114*l + 72528. Determine p(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 + 2 - 2 + (18*v**2 + 10*v**2 - 11*v**2)*(3 - 2*v - 3) + (-2*v + 3*v - 2*v)*(2*v**2 - 3*v**2 + 2*v**2) - 3*v + 4*v**3 + 3*v.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 26) + 10)*8\/(-104) - 32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = 4*r - 3, -18 = -5*r - l. Solve -4*q + 4 = 3*z, 0 = -5*q + r*z - 17 - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Suppose -2*f + 0*n + 152 = -u*n, -5*n = -5*f + 385. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -67573299\nAnswer: 13514659.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**3 + j**2 - 1. Let r be c(-2). Let d = -58 - r. Let b be 1*(-3)\/d*-1. Is 0 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 755 - 658 = -7*g, -4*n + 274 = 2*g. What is the greatest common factor of n and 2717?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*k**3 + 7*k**3 - 4 - 50*k + 50*k + 2*k**2 - 2*k**3 to s + i*k**2 + a*k + o*k**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 57 + 157)*(1 + 2*z - 1) + 2*z - 2*z + 3*z.\nAnswer: 565*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 80 + 20. Let i(w) = w**3 + 27*w**2 + 48*w + 3. Let g be i(d). Which is greater: g or 258\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g + 3. Let b be g*2 - (3 + -3). Suppose 65 = 7*h - b*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o**(-1))**(5\/3)*(o\/o**(2\/13))\/(o**(-2)*o)*(o\/(o**(-1\/12)*o)*o**(-1))**(-8\/7) assuming o is positive.\nAnswer: o**(1700\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(45)*-1*-3)\/((sqrt(108)*-2)\/sqrt(12) - 1*sqrt(225)) + -1)*1.\nAnswer: -6*sqrt(5)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1599 + -7988\/5. Factor 4*z**2 + 8\/5*z + 0 + 18\/5*z**3 + 1\/5*z**5 + m*z**4.\nAnswer: z*(z + 1)*(z + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*h**2 - 9*h**2 + 0*h + h)*(-6 + 1 + 3) to w*h + z*h**2 + a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 23 (c) -0.3 (d) -8 (e) 0 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.2. Let z(a) = a**3 - 11*a**2 + 12*a - 19. Let c be z(10). What is the closest to 2\/5 in g, c, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-582408)\/(-32)*(2 + (0 - 6\/9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-374)\/6 - -1)*(24 - 21). Let j = s + 1433. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -15.6. Let y = s - 0.6. Is 5 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-8))\/((-2)\/(-36)). Let o = 15 - d. Let s(v) = 7*v**2 + v - 6. Let b = 303 - 298. Let h(a) = -8*a**2 - a + 7. Determine b*h(j) + o*s(j).\nAnswer: 2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/45224 and 45\/5653.\nAnswer: 45224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 191777682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15512 minus 4?\nAnswer: -3.84488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3, -2*o = -o - 4*y + 195. Let s be (34\/102)\/(2\/(-732)). Let n = s - o. What is the remainder when n is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and 33?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g. Suppose g = -2*h - 3*c + 24, -6*c = 5*h - 7*c - 60. Let x be (9\/h)\/(2\/8). Let q(r) = r**3 - 2*r**2 - 3*r - 2. What is q(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*w**2 + 170*w.\nAnswer: -5*w*(11*w - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7315*-1.\nAnswer: 7315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 - 2*h**2 - 10*h - 7. Let l be k(-5). Suppose -10 = -5*u, -3*j + l = u + u. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*g + 127*g + 6177*g.\nAnswer: 6699*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-2.458\nAnswer: 1.9664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.049379 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -58, 0.5, -4\/219?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -654.4 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 143542613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -21. Let j(l) = -2 - 1 - l + v. Let y be j(12). Solve 4*o - 5*o - 2 = y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 424010090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 443309, 443308, 443307, 443306, 443305, 443304?\n\"Answer: -o + 443310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 12, g: 7}. What is prob of sequence dg?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 2. Suppose 4*i - 5*m - 21 - 19 = 0, 2*i - 26 = 4*m. Suppose 2*n + 8 = 2*k, 0 = -10*k + i*k + 4*n + 19. Determine c(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 6*r**2 - 6*r + 3. Let d be l(-5). Let j = -1105 + 1855. What is the third derivative of -d*v**6 - 750*v**4 - 3*v**2 + j*v**4 wrt v?\nAnswer: -960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -6?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y = -5*n - 1381, 2285 = 5*y - 5*n. List the prime factors of y.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 5284\/14 - 1896\/(-3318).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-30) + (-2)\/(-12). Let j(c) = c**2 - c + 8. Let k be j(r). Suppose 2*p = -0*p + k. Solve 3*y + 1 = -2*y + p*a, 4*a = -3*y + 25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -526.96.\nAnswer: 7377.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(612))*-3*4)**2 - (((sqrt(102) + sqrt(102)*-2 + sqrt(102))*3)\/sqrt(6) + 2)**2.\nAnswer: -1728*sqrt(17) + 88268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 631172271 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 0, 4*c - 17 = -5*p + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29169157 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 42063200 = 2*k. Let w = 4187360 + k. What is w rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 5*y - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 669970 and 334985.\nAnswer: 669970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, v: 2, x: 1, m: 3, s: 7}. Give prob of sequence mmmp.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179151, 179071, 178991?\nAnswer: 178911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:46 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -15 - -1) + -119 + 3.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 221888*f**6 + 96136*f**2?\nAnswer: 26626560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**5\/15 - 33*q**2 + 102*q - 1. Let a(r) be the first derivative of y(r). Let w(h) = -2*h**2 - 5*h. Calculate a(w(k)).\nAnswer: 16*k**4 + 80*k**3 + 100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2\/9 - 124*c\/9 + 40\/3 = 0. What is c?\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 290 - 438. Let h = u - -283. What is the units digit of (0 - 0) + 16 + h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/20 + x**4\/2 + x**3\/6 - x**2\/2 + 6*x - 13. Give t(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373245632?\nAnswer: 2, 41, 103, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885207 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -14. Let m be -70 - (0 + (2 - k)). Let w = -49 - m. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*d + 2*q, 5*q + 3147 = 2*d + 3083 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.8971 - 7057.1933\nAnswer: -7058.0904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 77616.\nAnswer: 77616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/7, 2\/13, -1\/3, 3, -767?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 706829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1448817 and 117790.\nAnswer: 14488170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4222745 is divided by 43089.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-12)\/39)\/((-168)\/(-126))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 275310 divided by 69\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 21 = -s - 3*z, 2*s - 134 = -4*z. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/5))**50 assuming c is positive.\nAnswer: c**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13642470 divided by -5?\nAnswer: -2728494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/(6\/(-16)). Suppose -3*z - 57 = -u*z + 4*q, 5*z = 5*q + 345. Suppose 1 - z = -4*l. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 + 7*o - 20. Let w be b(8). Let x = w - -331. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/4)*j)\/j*j)**(-15\/8)*j**(-1\/19)\/(j*j**(2\/7)*j) assuming j is positive.\nAnswer: j**(-23917\/4256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20949143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19) + (sqrt(19) - (sqrt(19) + 1)) - sqrt(19) - sqrt(19)) + sqrt(19) + sqrt(19))**2 + 5*sqrt(475) + sqrt(19).\nAnswer: 23 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - q**2 + 0 + (-164*q + 806*q - 1309*q)*(q + 2*q - 7*q).\nAnswer: 2667*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**2\/7 + 13956*k\/7 - 16230828\/7 = 0?\nAnswer: 2326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 694 = -63*o + 333 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/15 (b) -38 (c) -0.05 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833094 is divided by 259.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -27 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 8. What is the second biggest value in i, -10, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -152*m + 21364. Let a(p) = p**2. What is s(a(o))?\nAnswer: -152*o**2 + 21364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -404222841.\nAnswer: 202111420.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2849140 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-96)*6*24\/36.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 12:41 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3369, 3372, 3375, 3378, 3381?\n\"Answer: 3*j + 3366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -142 + 129*r**4 - 2*r + 2*r**3 - 144*r**4 + 143 in the form i*r + p + m*r**2 + a*r**3 + y*r**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from {t: 3, w: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) + sqrt(900) + sqrt(900) + (1*sqrt(900) - sqrt(900)) - 2*sqrt(729))\/(sqrt(27)\/((1*sqrt(99))\/sqrt(11) + sqrt(9))).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 106560775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 372 - 723 = 0. Suppose 24*o - u*o = -9. Solve -8*b + o*b = w - 3, 3*b + w - 3 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -1.4. Let q(u) = -u + 2. Suppose 5*j + 5*p = -20, -3*j = j + 2*p + 8. Let g be q(j). Which is the nearest to f? (a) 2\/15 (b) 1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2364280 rounded to the nearest ten thousand?\nAnswer: -2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5954*k**2 - 7*k - 2. Is o(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*g + 3 + 12, 1446*g + 21 = 1442*g - d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115910 equal to 115910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -1450 + 1365. Calculate the remainder when (-4)\/(-2) + 195\/3 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2449094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5040, 8101, 11162, 14223?\n\"Answer: 3061*c + 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 42 = -8*o. What is the first derivative of -o*s + 26*s - 1 - 1 - 2 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10768607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.107 and 691.01983?\nAnswer: 679.91283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7040885 millilitres in litres?\nAnswer: 0.0007040885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21764681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3\/26, 9032 in decreasing order.\nAnswer: 9032, -3\/26, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {f: 1, p: 2, q: 2, u: 3, r: 2, h: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 4. Let o(r) = r - 1. Let h be o(1). Let l = 3 - h. Suppose -3*p - 3 = -5*i, l*p = -3*i - 2*i + 27. Calculate z(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/27139 and 12\/19385.\nAnswer: 135695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0 + 0*a - 5\/24*a**4 - 2*a**2 + 1\/6*a**3. Give s(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 + 32 + 27\/6)\/(2\/(-128))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260*2\/(-10)*165\/(-99) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 - 4 + 4 + (-d**2 + 4*d - 4*d)*(0*d - 9*d + 5*d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/120 - h**5\/12 - 5*h**4\/24 - h**3\/3 - 4*h**2. Give z(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*g**6 - 148*g**4*s + g**4 + g**2 - 414*g*s wrt g?\nAnswer: 4680*g**3 - 3552*g*s + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 4*g + 2325 - 2313, -g - 3 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbb when three letters picked without replacement from qqqqqbbq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 - l**4 + 0*l**4 + (-2*l + 2*l + 3*l**4)*(2 - 4 + 3))*(32*l - 2 + 2 + 2 - 2 - l + (1 - 2 + 0)*(2*l - 4*l + l) - 2*l + 0 + 0 - l - 2 + 2).\nAnswer: 58*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 168. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5554 less than 482?\nAnswer: 6036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62, -152, -242, -332, -422, -512?\n\"Answer: -90*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 4*u**5\/25 - 4*u**4\/5 + 16*u**3\/15 + 29. What is a in k(a) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 31471.\nAnswer: -1\/31471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -173, -151, -121, -83, -37, 17, 79?\n\"Answer: 4*u**2 + 10*u - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 2*q - 1. Let k be v(3). Suppose k*t - 73 = -15. Let d = t + -13. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-4) - 1\/(-2). Sort p, 5\/2, 1\/6 in descending order.\nAnswer: 5\/2, 1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 1517, 5185, 12357, 24203, 41893, 66597, 99485?\nAnswer: 141727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -247668 + 54414. Suppose 2*s = 33*s - y. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 4*i - 4. Let d be x(3). Sort 5, 7, d in decreasing order.\nAnswer: 7, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 426 + -417. Let k(g) = 2*g**2 + g. Let b be k(1). Suppose -b*f + 0 = -m. Solve 3*q = 5*d - 5, -q + 16 = f*q - d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = a, 4*a - 10 - 2 = -u. Let h = 8 - u. Suppose -5 = -h*c - w + 38, 3*w + 25 = 2*c. What is the greatest common factor of 44 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -85. Suppose -36 = -84*j + 82*j. Calculate the greatest common factor of j and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454437439703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klokgozp. What is prob of sequence gloo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28.04 + -0.04. Let m = 27.94 - z. Let p = 2.1 + -2. Which is bigger: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 15. Which is bigger: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 6. Give h(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 at most -292\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*p - 8 = -0, 4*p = -16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-64 + 238)\/(2\/4) is divided by 62?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*a + 17, -k + 2*a + 2 - 6 = 0. What is the second derivative of -6*v + 2 + 0 + 402*v**k - 357*v**2 wrt v?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2536 - 2533. Solve -5*z - 2*p = -7*z + 16, 4*p = -v*z - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5276257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.013 + -0.187. What is the smallest value in -0.1, -5, s, 11\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g + 10. Let o(v) = 8*v - 5*v - 4*v. Let r(n) = -h(n) - 6*o(n). What is the remainder when 49 is divided by r(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2 - 1812*o + 1810 = 0.\nAnswer: 1, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 3, f: 1, i: 1, u: 8, y: 1}. Give prob of picking 1 u and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/1)\/(5\/(-10)). Find the third derivative of -3*m**6 + 0*m**k + m**2 - 14*m**2 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/8*1192\/(-745).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 2*i - 3*i)*(-860*i**2 - 169*i + 169*i)*(3*i + 2*i - 3*i)*(1 + 3 - 2).\nAnswer: -6880*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 10*z**2 + 10*z + 12. Let g be u(-9). Suppose 0 = g*o - 5*o - 2. Suppose -2 = 2*x + i, -x - 4*i + 4 = -2. Sort 0, x, o in decreasing order.\nAnswer: 0, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8336433 divided by -225309.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2. Let i(a) = -19*a**2 - 11*a + 7. Let r = -99 + 88. Let s(k) = 7*k**2 + 4*k - 2. Let j(y) = r*s(y) - 4*i(y). What is m(j(n))?\nAnswer: 2*n**4 + 24*n**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 980.999994917 - 981. What is y rounded to seven decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from hhuh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -148\/3, -8.3, 5?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p. Let z(d) = -3*d - 433. Give z(t(u)).\nAnswer: 6*u - 433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/2856984 and 101\/988956.\nAnswer: 25712856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6*r - 9004, -3*b = -4*r + 1265 - 14756. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1635\/12200 + (-6)\/45. Let j = -463\/8052 + k. Calculate the common denominator of j and 124\/6 - (-9)\/(-9).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-2 - -2)\/(-2). Let h = -4 + l. Let r = 1 - h. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**0)\/d))\/d**(1\/5))\/(d\/(d\/(d\/(d**(-5\/3)*d))*d)*d**(-2\/21)) assuming d is positive.\nAnswer: d**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -74*t + 1. Let m(p) = 270*p**2 + 18*p. Calculate m(g(r)).\nAnswer: 1478520*r**2 - 41292*r + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 s, and 1 g when three letters picked without replacement from shgsshssssgssssgs.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4473 + -0.3473. Sort -30, 1\/12, c, -1\/6 in decreasing order.\nAnswer: c, 1\/12, -1\/6, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - -0.1. Let n = -0.16 - p. Let m = 0.6 - -0.4. Which is the second biggest value? (a) n (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631331783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 10:14 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 271*v - 11179. Let p be o(-73). Put 1, 0, -4, 4, p in decreasing order.\nAnswer: p, 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - -1. Suppose 4*m - 3*j = 23, -31*j - 9 = -2*m - 32*j. Calculate the greatest common factor of u and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -878*g - 1246. What is the tens digit of l(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6548532 and 42.\nAnswer: 45839724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6\/16)\/(13\/(-104) + (-93)\/(-24))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5951712 and 1976?\nAnswer: 5951712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -1.488029.\nAnswer: 13.392261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69555917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1202 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.4495 rounded to zero dps?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1131887 + -1711413313\/1512. What is the common denominator of -17\/56 and b?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -111, -223, -335, -447?\n\"Answer: -112*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2\/13 (c) -16 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/6 - 3 - (-1)\/(-12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-52)*(-10)\/15?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iippiiippippip. What is prob of sequence iip?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 2*y**2 - 4*y + 16. Determine v(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6334 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*4*(-3)\/(-18)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3660794 is divided by 847?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, p: 6, l: 7}. What is prob of sequence lsl?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*i**2*v**4 + 2*i**2*v**3 - 547*i**2*v**2 + i**2 + 2*v**3 wrt v.\nAnswer: -984*i**2*v + 12*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206 - -142. Let b = r - -50.7. What is b rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/4*(-8)\/(-24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106710485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 19. Suppose 0 = -5*w - 3*q - 36 - 6, -32 = 2*w + 5*q. Let m(d) = -2*d + 22. Let y(i) = w*m(i) - 7*j(i). Calculate y(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*c = -5*d - 38, -5*c = 5*d + 90. Suppose 0 = -8*f + 6*f - 38. Let u = f - -4. Is u greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = -0*a. Let k be -13 + (42\/(-3) - -37). Suppose 0 = -4*q + 3*q + 9. Solve -4*m - 2 - q = -r, a*m + k = 5*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/6 + 3\/(-9). Suppose -d*t = u - 8, 0*t + 5*u = -2*t + 24. Suppose -t*f - z + 49 = -95, -5*f = 5*z - 370. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z. Let d(w) be the first derivative of w**4\/12 - 22*w**2 - 48. Let f(y) be the second derivative of d(y). What is f(g(p))?\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 1. Let p be u(2). Let g(n) be the first derivative of -1 - p - n**2 + 2. Let h(l) = 2*l. What is g(h(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0.1, 2\/21, -8385, -2, 0 in descending order.\nAnswer: 4, 0.1, 2\/21, 0, -2, -3, -8385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 u when four letters picked without replacement from {g: 2, p: 2, u: 2, m: 8, y: 3}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 55.9 (b) 3\/4 (c) -7 (d) 2\/277\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/36)\/o)\/((o\/(o\/(o\/(o\/o**(1\/12)))))\/o))\/(o*(o\/(o\/(o\/(o*o*((o*o\/((o*o**(-18\/5)\/o*o)\/o)*o)\/o)\/o)*o)))\/o*o*o\/(o*o**(-17))) assuming o is positive.\nAnswer: o**(-1211\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Suppose 3*q = 3*g, -d*q + q - 4 = -5*g. Suppose 0 = 5*f - g - 16. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5975*n - 10769*n + 4794*n - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -18, 14, 68, 150, 266, 422?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082164 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7065, 14158, 21241, 28308, 35353?\n\"Answer: -z**3 + z**2 + 7097*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-783)\/(-9135)*10\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2 + 4*n**2 + 4*n**2 + 2*n - 3*n**2 + 3*n - 3. Let l(u) = 5*u**2 + 4*u - 4. Calculate 5*l(f) - 4*x(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112672*x + 6 = 1112675*x, 3*g - x + 2 + 3 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {x: 3, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 + -1 - (7 + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/12 + (4 - 0). Which is the nearest to 1\/74? (a) -3 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7954\/5 - 1591. What is the second biggest value in 2\/41, x, 0.2?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*v - 4*v + 74400016, 0 = 5*f - 3*v - 92999988. Suppose -b + f = b. What is b rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.05 - -0.05. Let v = y + 6.4. What is the smallest value in -1, -1\/4, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 1 e when three letters picked without replacement from mmiemrc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 27*k + 25*k - 49*k. Let u(g) = 14*g + 5. What is l(u(m))?\nAnswer: 42*m + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 106784.2855 to the nearest 1000.\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15688642 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -39. Let t be g\/(-8) + 633\/12. Let u = t - 18. What is the least common multiple of 7 and u?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*k - 15 + 72 = -21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17109447 to the power of 1\/2, to the nearest integer?\nAnswer: 4136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1523, -1540, -1553, -1562, -1567, -1568?\n\"Answer: 2*f**2 - 23*f - 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**4 + 120*w**3 - 890*w**2 + 2400*w - 1625 = 0. Calculate w.\nAnswer: 1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*c - 42*c - 4619 + 26*c**2 + 4619 wrt c?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -18*p**5 + 14*p**2 - 8*p. Suppose -7*z + 16 = -5*z. Let d(s) = s**2 + s. Let h(v) = z*d(v) + j(v). What is the third derivative of h(x) wrt x?\nAnswer: -1080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 14*g + 21. Let z be x(16). Let q = z + 14. Suppose a - 106 = -q*l + 5*a, a + 79 = 2*l. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (24\/(-264)*(-166)\/(-6) - 12\/18)?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**6\/12 + c**5\/20 + 34*c**3\/3 - 43*c**2. Find the first derivative of j(z) wrt z.\nAnswer: -30*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j**4 + 23144*j**3 + 322072*j?\nAnswer: 96*j**2 + 138864*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1701*m**5 + 3014*m**4 - 5897*m**2 - 756*m.\nAnswer: -102060*m**2 + 72336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-26)\/(-91)*(-20335)\/(-166)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r - 9. Suppose -4*o + 30 = f - 0*f, -5*o + 38 = f. Let h = 5 - o. Let n be c(h). What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697119.\nAnswer: 229, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2 + 8)*(144*b**5 - 30245*b + 30245*b).\nAnswer: -720*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q. Let k = 3 + -4. Let y = 0 + k. Does q = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 - 7 - (2 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 11. Let n be z(7). Let y = -1 - n. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z - 32 = -5*x, 3*x = z - 48. Suppose g + g = z. Suppose 3*o - 43 = 83. Calculate the greatest common factor of g and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -11*v**8\/28 - v**6\/6 - 87*v**4\/4 + 544*v. What is the third derivative of w(p) wrt p?\nAnswer: -2640*p**3 - 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-6)\/8 + 156\/24. Suppose -3*n - 4*w = -w - 33, -s*w - 35 = -4*n. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126902 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3 + -2)*-3. Let f(w) = 3*w**3 + w**2 - 4*w + 1. Let s be f(3). Suppose -y*c = -5*c + s. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7683 - -7720. Solve -2*d = j*d - 78 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**4 + 16*w**3 + 244*w**2 - 10676 wrt w?\nAnswer: 4*w**3 + 48*w**2 + 488*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from xyeteetxtetexxtwetee?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2684 + -2684.3. Sort -4\/5, 0.5, v, -1\/28 in decreasing order.\nAnswer: 0.5, -1\/28, v, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.964, -1\/4, 31 in descending order.\nAnswer: 31, -1\/4, -0.964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 3 - n**4 + 2*n - 5 - 3*n + 2*n**2 + 2*n**3 to the form p + a*n**3 + i*n**2 + y*n + j*n**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241 - -245.83. Let i = y + -4.3. Let s = i + -0.23. Which is the closest to 0.1? (a) s (b) 1\/3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * 0.03194\nAnswer: 0.07985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 110*k. Let s(j) = -j**2. Give b(s(g)).\nAnswer: -110*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 194 and -0.006?\nAnswer: -1.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.7 or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2340, -5021, -7702?\nAnswer: -10383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -233*a + 706. Determine s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54379 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.347 + 0.3469732. Round m to six dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1034360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5172 + 5187. Solve -i*p + 6*p + 18 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 14*d - 22. Let a be n(-5). Let r(f) = 3*f + 39. Calculate the remainder when r(a) is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 31*i - 3. Let v be y(-15). Let l = -13 - v. Let b(j) = -j**3 + 4*j**2 + 14*j - 11. What is the units digit of b(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i + 4. Let l(r) = -58*r + 34. Let c(v) = 8*j(v) - l(v). Give c(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 294, 520, 766, 1038, 1342?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 44 = 418. What is the remainder when 61 is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530 equal to 3529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(80)*2 - sqrt(80)) + -5 - sqrt(80))**2 + (sqrt(80) + 5 + sqrt(80) + (0 + sqrt(80) - sqrt(80)))**2*1)*3.\nAnswer: 240*sqrt(5) + 1107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/((-200)\/(-188)) - 5)\/((-4)\/40). Let k = 35 + -81. Which is bigger: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 33 + -1 + (-7 - 6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-114)\/36 + 5\/30. Put d, -2, 273 in descending order.\nAnswer: 273, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6725 and 1076?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4 - 25488*n**3 + 51469686*n**2 - 24382423332*n + 144447139296 = 0.\nAnswer: -14568, 6, 909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(1*2))\/((288376\/(-113))\/(-88)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*j = -5*l + 22, 5*l - 44 = 2*j. Solve 0 = -4*h - 4*x - l, 0 = 2*h + x - 4*x - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**4 - 2*x**2 + 21567758*x + 38013511?\nAnswer: -4*x**3 - 4*x + 21567758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8042*h - 121. List the prime factors of v(-2).\nAnswer: 3, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**10\/12600 - d**6\/240 + d**5\/60 + 7*d**2. Let l(s) be the third derivative of m(s). What is the derivative of l(t) wrt t?\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000011 - 121?\nAnswer: 2222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -25. Let l be -8 - (-2233)\/21 - b\/6. Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 - (20 - 0))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 6. Let q be i(3). Suppose q*d - 2 - 4 = 0. Solve -2*c - 8 = d*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23849 by -132.\nAnswer: -23849\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3967*a**4 - 4897*a wrt a.\nAnswer: -47604*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**3\/3 - 3*t**2 - 3*t + 4. Let b be f(-5). Solve -5*w - 9 = -m, b*m + 7 = -w - 3*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -401\/5 smaller than -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q - 33. What is l(18)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 87*j**2 - 366*j - 175. Give o(-91).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 12*l - 7*l. Let b be (-3172)\/(-39) - (-4)\/(-3). What is the highest common factor of l and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-11.08\nAnswer: -10.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-45)\/(-6)*7\/232. Let l = -28553\/4176 + p. What is the common denominator of ((-1)\/8)\/((-10)\/(-292)) and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 1. Let t be f(3). Suppose -t*s + 4 + 2 = 0. Find the second derivative of 3*q - 1 + s*q**3 + 1 - 2*q wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308516 divided by -17.\nAnswer: -18148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -57. What is the remainder when (0 - 2)*-46*o\/4 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6889.2 + -6889. Let v = -0.4 + -2.6. Which is the biggest value? (a) 5 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*u - 61 = 6*u, 2*u + 82 = 4*o. What are the prime factors of 36\/126 + (-1 - (-17403)\/o)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 769*q - 12. Suppose 18 = 4*m - 2. Is a(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Suppose 0 = 10*v - 7*v - 63. Let h(b) = 1. Let g(c) = c + 7. Let k(m) = v*h(m) - 3*g(m). Give s(k(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*z**3 - 22*z**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 557 and 430700807?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**4 + 8*k**3 - 12*k**2 - 7. Let d(i) = -23*i**4 + 24*i**3 - 35*i**2 - 20. Let v(w) = 6*d(w) - 17*z(w). Find the third derivative of v(u) wrt u.\nAnswer: -48*u + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmm when three letters picked without replacement from kkkmmmmmkmwkmmmmm.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 52*y**2 - 2717*y + 12601. Differentiate u(q) with respect to q.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 2\/7, -2, 3 in descending order.\nAnswer: 3, 2\/7, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 412, 1, 101, 2, -10, -7 in decreasing order.\nAnswer: 412, 101, 2, 1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56852353 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 278727*o**3 + 5*o**2 + 249*o - 203?\nAnswer: 1672362*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 2072210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 985.8 + -985.9. Which is the closest to j? (a) 2 (b) -4 (c) 3\/11 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11909 - -11909.1. What is the closest to z in 4.4, 0, 4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.61724 - -1.07306. Let k = 8.5835 - -0.1165. Let a = k - z. Round a to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441061 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b - 2?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(19*a**3 - 5*a**3 - 5*a**3).\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 57 = -6*c - 95 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30847 + 30847.1. What is the closest to 10 in p, -1, -1\/70?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15271.1 - 18455. Let g = 2847 + z. Let w = 356 + g. Round w to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2796 (base 12) to base 7\nAnswer: -16230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**8\/224 + 3*g**7\/70 + 11*g**6\/80 + g**5\/20 - 3*g**4\/4 - 2*g**3 - 2*g**2 + 258*g. Suppose i(r) = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - j**2 - j**2 - j + j**2 + j + (-1 - j + 1)*(4*j - j - 4*j) + (-2*j - j + 4*j)*(17*j + 4*j + j).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 30*a**2 + 2*a - 65. Calculate q(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + a**3 + 11*a**3 - 4*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53, -40, -19, 10?\n\"Answer: 4*s**2 + s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 72.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.63 - -4.53. Which is the third smallest value? (a) -1\/2 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 21 = 9. Suppose -c*l - 40 = -7*l. Calculate the highest common divisor of l and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -3 (c) -15\/14 (d) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 259302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 15 = 0, 1566*a + 6*g = 1562*a + 6 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 135321 (base 6) to base 8\nAnswer: 31101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -42. Let n(b) = -b + 4. Let m(y) = 2*y - 3. Let f(c) = -3*m(c) - 2*n(c). Let k be f(1). Sort -2, k, -5, w.\nAnswer: -5, k, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.5 + 5. Sort j, -1\/8, -2\/7, 5 in increasing order.\nAnswer: -2\/7, -1\/8, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*x = -16, 24 - 4 = 5*x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9107.147ml to litres.\nAnswer: 9.107147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -16. Let y = -17 - r. Calculate the least common multiple of 11 and (8\/(-6))\/(y\/(-6)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*m*r + 3*f*m - f*r**3 + 2*f*r**2 + 2*f + 36*m*r**2 - 10*m*r wrt r.\nAnswer: -6*f*r + 4*f + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319612?\nAnswer: 2, 79903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - -1) - (-4 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 12 = 3*j. Let v be (0\/(-2))\/(14 + -18). What is the least common multiple of j and (12 + -1)*(1 - v)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(6\/15) + 3. Let d be -1 + m + (6 - -1). Suppose 2*x = d*h + 6, 12 = -h - 2*x + 6*x. Solve -b = -2 - h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 n when three letters picked without replacement from {n: 1, u: 1, x: 2, w: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 8:27 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-9104)\/(-24) - 14\/(-21) and 36?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 q, and 1 l when three letters picked without replacement from {k: 3, g: 3, l: 3, p: 1, q: 2, j: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7610928 < 54\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*p - 824, -125 - 299 = -p + 5*r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - y - 15 = 0, 8*y = -8*m + 5*m - 6 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -4, -3, 0 in ascending order.\nAnswer: -5, -4, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {e: 4, r: 6, o: 4, m: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 44*y - 7 = 47*y, 0 = -2*t - 2*y - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*b - 4*z + 52, 5*b - 92 = -4*z. Calculate the highest common factor of b and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -664 (base 8) in base 10?\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let u(h) = -13*h**3 + 2*h**2 + h. Let o be u(-1). Suppose 0 = k*x - x - o. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154622053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*(sqrt(65) + sqrt(65)*-2) + sqrt(65) + sqrt(65))\/(sqrt(25)\/(sqrt(5)*2)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-35)\/8 + 4)\/((-145)\/58) and 3*(-2)\/((-2424)\/(-118))?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o = 6. Let x = o + 0. Suppose -21 - 21 = -x*j. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = 0. Suppose -4*g - g + 15 = j. Suppose -3*i + 5*m = -13, -4*i + g*m + 12 = -m. Calculate the greatest common factor of i and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 13. Suppose 3*r + w = 23, -15 = w - q*w. Let m = r - 1. What is the least common multiple of 9 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010245 (base 7) to base 14.\nAnswer: -6295c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391 and 782629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-1)\/((-7)\/18))\/(21\/490)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.065, 2, 4, 4\/9, -0.1, 0.29 in decreasing order.\nAnswer: 4, 2, 4\/9, 0.29, 0.065, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 9*w - 19 = 5*w - 2*g, -3*g = 5*w - 0*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 326.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -25, 2, 54, 22, -1 in ascending order.\nAnswer: -25, -1, 0, 2, 22, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-8)\/18*16\/(-32)*6?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2764, -11401, -25908, -46291, -72556, -104709?\n\"Answer: -m**3 - 2929*m**2 + 157*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812558536.\nAnswer: 2, 23, 4416079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.504, 2\/7, 1, 1\/2, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(sqrt(91) - sqrt(91)*-1))\/sqrt(7)*6.\nAnswer: -12*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 14. Let b(n) = n + 3. Let j(c) = 11*b(c) - 2*m(c). Let d be j(-5). What is the lowest common multiple of (d - 11)\/((-2)\/14) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1147 = -47. Calculate the least common multiple of a and (992\/31 - 27)*(-84)\/(-15).\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (74 + -61) - (81 + -1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 246. Let s(q) = q - 123. Determine 2*k(x) - 5*s(x).\nAnswer: x + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000101101000 (base 2) in base 16?\nAnswer: -d168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Let q be (-12)\/(-9)*(-3)\/2. Let d = q + v. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 63135.\nAnswer: 4\/63135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*n - 42\/5*n**2 + 0 - 4*n**3.\nAnswer: -2*n*(n + 2)*(10*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 18 + -2 - 10 - -55?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1871085 and 10207?\nAnswer: 10206.8128915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3*u**2 + 2 - 5 + 3.\nAnswer: 3*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/26331 and 149\/3930?\nAnswer: 263310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b748 (base 12) in base 16?\nAnswer: 4e68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22385810910 - 0.3533?\nAnswer: 22385810909.6467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(3 + 0 + sqrt(11)) - -3*sqrt(539)*2))**2.\nAnswer: 1410*sqrt(11) + 24524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 20. Let t(m) = -17*m**2. Determine t(y(b)).\nAnswer: -68*b**2 + 1360*b - 6800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48851, -25053, -1257, 22537?\nAnswer: 46329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 5)*(-7 - 1 + 3)*(61*w**3 + 92*w**3 + 34*w**3)*(-1 + 2 - 2) as t*w + j*w**3 + c*w**2 + o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/((-129)\/602).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*n + 40, 0*r + 5*n = 5*r - 45. Solve -r*x + o = -27, -x + 0*x - 3 = 4*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/9 + 5 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 16*y. Let w(j) = j**2 + 15*j + 1. Calculate -3*r(b) + 2*w(b).\nAnswer: -b**2 - 18*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2629308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6688 (base 13) to base 3.\nAnswer: 201121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21c26 (base 13) in base 3?\nAnswer: -10010012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 180\/25) + 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1120 + 123?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 375, 371, 365, 357?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2771 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517872201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -309574 - -604?\nAnswer: -308970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38425 by 148.\nAnswer: -38425\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/((-40)\/(-245))*(-8)\/14 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 20*k**2 + 18*k + 22. Let h be o(19). Calculate the remainder when -1 + 1 + (165 - h) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*x - 3*x. Suppose 428 = 12*l - 64. What is the remainder when l is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 152, 19, -3.\nAnswer: -11, -3, 19, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9054011.\nAnswer: 37, 244703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9920?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20561, 41140, 61721, 82304?\n\"Answer: m**2 + 20576*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8475 and 0.2.\nAnswer: -8474.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 15. Let r be q(-8). Let b be ((-21)\/(-4))\/(6\/2). Is r less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 4*z**2 - 9*z + 9. Let r(p) = 92*p + 816. What is the remainder when r(-8) is divided by t(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k**2 - 20. Let f(a) = 13*a**2 + 25. Let c(b) = 4*f(b) + 5*r(b). Let q(i) = -93*i**2. Give q(c(t)).\nAnswer: -837*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 263 + -198. Let t = -57 + s. Calculate the highest common factor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 194. Let s be k(19). Calculate the highest common divisor of s and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100100001 (base 2) to base 3\nAnswer: 101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 + 49748148*p + 618719557357476 = 0.\nAnswer: -24874074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 14*y**2 + y**3 + 11*y**2 - 7*y**3.\nAnswer: -7*y**3 + 25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 300 = 0. Suppose -y = 4*c - z, 0*y = -c + 2*y + 12. Let d be 10\/(-4)*(-4)\/5. Calculate the greatest common divisor of d and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvp when three letters picked without replacement from dppkptvwvkkt?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*d + 1. Suppose -4*w = 5*c + 42 - 2, -83 = 5*w - 2*c. Sort 3, 1, d, w in ascending order.\nAnswer: w, d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.2, -4\/3, 0.3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f. Let x(o) = 1819*o + 37. Let d(b) = -806*b - 19. Let u(p) = 9*d(p) + 4*x(p). Give u(s(y)).\nAnswer: 110*y - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -30. Suppose -2*a - y = -95, -47 = 2*a - 3*a - y. Suppose 0 = -4*h + 108 + a. Calculate the highest common factor of l and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/4 - 1215*u**2\/4 - 173538*u + 523341 = 0 for u.\nAnswer: -426, 3, 1638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 329312827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 4*l + 5. What is q(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 706 + -702. Solve s + 14 = 3*f, -6 = -6*f + g*f + 4*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*x - x - 43 = 0, x = 3*p - 68. Let g be ((-1)\/p)\/(1\/(-6)). Sort -3, 1, g in increasing order.\nAnswer: -3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-10)*3\/(-66)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/5*z**3 - 3\/5*z**4 - 24\/5*z**2 + 0*z + 0.\nAnswer: -3*z**2*(z + 1)*(z + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.34*-10.28.\nAnswer: 3.4952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140668057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -37*s**3 - 7*s**2 + 4. Let j(m) = 38*m**3 + 8*m**2 - 5. Calculate 6*d(p) + 5*j(p).\nAnswer: -32*p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -4*s - 60, 3*s + l + 2201 - 2175 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690782842.\nAnswer: 2, 7, 31, 3895813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93483.\nAnswer: 3, 13, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 - 256 = -4*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 11 = 17. Let t be -4 + (-5995)\/(-858) - (y - -4). Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1550449 is divided by 1717.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 = 9*f. Suppose 2*j = -j + 12. Solve -f*x + j = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -26*y**3 + 4*y**2 + 16*y + 42. List the prime factors of s(-5).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11678, -11679, -11680, -11681?\nAnswer: -11682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 316 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, 9, 56, 141, 276?\n\"Answer: 2*t**3 + t**2 + 4*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9244935*a. Let j(y) = 29*y. Calculate r(j(n)).\nAnswer: -268103115*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 2402, 5925, 10856, 17195?\nAnswer: 24942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -202836.1363 to the nearest 1000.\nAnswer: -203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186704.4 years to centuries.\nAnswer: 1867.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*x - 157*x + 285 = -44. What is the biggest value in -2, x, 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(352)\/(sqrt(22)\/sqrt(2)) + 1)**2 + 0).\nAnswer: 24*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*a + 213*a = 4*z - 88, -38 = -2*z + 4*a. Calculate the remainder when 212 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12879765 to the power of 1\/2, to the nearest integer?\nAnswer: 3589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 8:34 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, y: 2}. Give prob of sequence cy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 + 2*s**4 + 937602*s**3 + 6283*s**2 + 97*s - 1.\nAnswer: 60*s**2 + 48*s + 5625612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -11. Suppose i*f = -5*s + 27, 5*s - 22 = 3*f - 0*f. Let d be 125\/45 + 4\/18. Solve -2*m - d = -5*r, 0 = 2*r - s*m - 9 - 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72736 divided by 9092?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 39?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 58*b + 1. Let u(j) be the second derivative of -j**4\/6 - 3*j - 1. Calculate u(y(h)).\nAnswer: -6728*h**2 - 232*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1247368 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - d**2 - d + 1332. Let s be x(0). Let l be (1\/2)\/((-6)\/s). Let r = -69 - l. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b7 (base 12) to base 13\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*r + 524055 = 107*r. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 945, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -17*r**2 - 11*r + 3. Let d(z) = z + 11*z - 2*z - 4 + 19*z**2. Let s(u) = -3*d(u) - 2*o(u). What is the second derivative of s(j) wrt j?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 11*j - 41860. Let f be r(0). Let k = f - -65860. Round k to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 888 and 4?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283737 divided by 94579.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11714.6986 + -11575.59. Let y = -114.113 + s. Let j = y - 25. Round j to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16687 less than -16687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6. Let p = i - 200. Let g = -111 - p. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373508?\nAnswer: 2, 93377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273513 (base 8) to base 9.\nAnswer: 155710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*o + 1455 + 6199, 5 = -5*u. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6831141 to two dps.\nAnswer: 2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -144, -217, -290?\n\"Answer: -73*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-148)\/(-6)*(-12)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40220 + 1?\nAnswer: 40221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 4023*b**4\/4 + 9268*b - 3226. Differentiate x(a) wrt a.\nAnswer: 12069*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -90. Suppose -7*f + m*f - 81 = 0. Calculate the lowest common multiple of 3 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((m*m\/(m**(-2\/3)*m)*m)\/m)\/m)\/m)\/(m\/m**30))**(-19))**(-13) assuming m is positive.\nAnswer: m**(21242\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1283.65 + -1249. Let r = 33 - j. Let f = 1.649923 + r. Round f to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 8*v + 7. Let k be f(-7). Let y(w) = -6*w + k*w - 12*w. Let n be 5\/(-10)*(-1 - -3). Determine y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100000000010 - 1111001010110?\nAnswer: 11100110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 365, 728, 1091, 1454, 1817, 2180?\n\"Answer: 363*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4774*m*y**2 + 164*m*y + 2*m - 10*y**4 + 20*y - 1 wrt y?\nAnswer: -9548*m - 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*d**2 + 0 + 6\/5*d**3 - 27\/5*d.\nAnswer: 3*d*(d + 3)*(2*d - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10f15 + -38?\nAnswer: -10f4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1549 = 120*d + 59*d - 778. Solve 17 = -z - 2*c + 6*c, 0 = 3*z + 4*c - d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1 (c) 59 (d) -3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(1\/4)\/h)\/h))\/h*h)**(-44) assuming h is positive.\nAnswer: h**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452 - 11*a**2 + 147 + 161 + 145.\nAnswer: -11*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667895*h**2 - 662499*h**2 + 1330392*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-2)\/(-4))\/(((-845)\/(-10))\/13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4366286*l*n**2*z + 9*l*z**2 + n**2*z + 2*n**2 + n*z**2 + 281*n*z - 1411*z**2 + 1 with respect to l.\nAnswer: 4366286*n**2*z + 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 2*x - 2*x)*(-2 - 2*x + 2) + 3*x**4 - 2*x**4 + x**4 + (-128 - 686 - 93)*(-4 + 1 + 1)*(2*x**3 + 6*x**4 - x**4 - 4*x**4).\nAnswer: 1818*x**4 + 3628*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-84))\/(2\/(-6)). What is the nearest to 1 in -0.3, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*q + 18. Suppose 44 = -9*o + 8*o. Let t = -44 - o. Solve 7 = 3*i - i + 5*y, t = q*i - 5*y + 27 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -25\/8 (b) 14 (c) -31.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 = 3*n + 15, 14 = m + 3*n. Suppose 4*f + 19 = 2*u - m*u, 20 = -5*f - 5*u. Let p be ((-6)\/4)\/(f\/(-14)). What is the biggest value in 3, p, 3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c = -43*c + 24. Let o be (9\/((-27)\/c))\/((-1)\/(-4)). Solve 4*u - o*u = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*q + l, 3*l - 1 = -5*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.067 * 0.557\nAnswer: -0.037319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4544*x - 4595*x + 1071 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**4\/12 + h**3\/6 + h**2\/2 + 2*h. Let y be q(0). Is y at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40750*x - 19898*x - 489491*x.\nAnswer: -550139*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 1)\/(2\/(-1)). Let l be -3*(8\/68 - 200\/255). Suppose -4*o - 4*m = -872, 5*o - l*o - 3*m - 684 = y. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0583 + 0.7417. Which is the smallest value? (a) x (b) 1\/8 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z, 7*z - 2*z - 9 = -3*t. Suppose -r = 5*c - 24, -t*r + r + 4*c = -48. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 467, 1613, 3841, 7511, 12983, 20617?\nAnswer: 30773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 3\/2*m**2 - 15 + 1\/3*m**3 + 0*m. Give f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x + 28 = j, 4*j + 48 = -4*x. Let a be 54\/x + (-3)\/(-4). What is the tens digit of 83 + (-2)\/a*9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4668780.\nAnswer: 2, 3, 5, 77813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25828 divided by -22?\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8433855335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/23)*r)\/r**(-2\/29)*(r\/r**(-2))**(-28\/3))**(-1\/35) assuming r is positive.\nAnswer: r**(18021\/23345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -116304, -116296, -116282, -116262, -116236, -116204?\n\"Answer: 3*r**2 - r - 116306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141014784 a multiple of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56 + 259 + 307)*(-y + 3*y - 4*y) in the form r + o*y and give o.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4880 and 1586.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/360*159\/(-106)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2)*16962\/(-14135))\/((-34)\/(-40))?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -72. Calculate the remainder when c is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250369429 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r - 5. What is the remainder when (r - 0)\/(7\/(-196)) is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 14) in base 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4303023312 + -32?\nAnswer: 4303023230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 94*g**2 + 31*g + 16*g + 8*g - 14*g**2. Let n(i) = -240*i**2 - 167*i. Let a(w) = 3*n(w) + 8*s(w). What is the second derivative of a(f) wrt f?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452462687 to the power of 1\/4, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3401*n + 469349. Give g(138).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3*o**(-1)\/o*(o**0)**(7\/9))**42 assuming o is positive.\nAnswer: o**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-903)\/588 - 10\/(-8). Let f = -0.1 + -0.4. Let n = 4.5 + f. Which is the nearest to l? (a) n (b) -3\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (((-60)\/(-5))\/3)\/((-2)\/2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -647?\nAnswer: -647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -417 - -731. Are f and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*r + 23, 3*g = -4*r + 35 + 6. Let k be -1 + 3\/(6\/178). Calculate the highest common factor of g and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/3 + 279238*r**4\/3 - 837736*r**3\/3 - 3630082*r**2\/3 + 4747085*r - 3350892 = 0. What is r?\nAnswer: -279241, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 3, r: 2, x: 6}. What is prob of sequence hhh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -85751.366 rounded to the nearest 1000?\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 1246 = 100*v - 2942 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*y - 29. Let f = y + 27. Let a(q) = -q**3 + 4*q**2 - 4*q - 1. What is a(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373978002?\nAnswer: 2, 3, 47, 277, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + -0.01. Suppose -3*q + 15 = -0*q, 0 = -z - 4*q + 16. Let t be (-2)\/(-3)*(-15)\/(-2). What is the nearest to 1 in t, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2361, -2357, -2351, -2343, -2333?\n\"Answer: b**2 + b - 2363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddhc when four letters picked without replacement from dvcyhyddhdvhhvddcdd?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245 = 1124*c + 7381 + 16102 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*r - 31627 - 13305. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 834913721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39872, -79664, -119456, -159248, -199040, -238832?\nAnswer: -278624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 0. Let g be (-4)\/((-8)\/14) + k. Suppose g*c = 2*c + 6. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122212 + 2100011?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -86286.\nAnswer: 1\/43143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*33\/24*((-20)\/30)\/(610\/(-183))?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -120*l**2. Let b(a) = 29*a - 11. Give b(c(w)).\nAnswer: -3480*w**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 23. Let f be (-33)\/33 - 1*-6. What is the third biggest value in 4, 2, g, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -11*v. Let g be 12\/5 + -2 + v. What is the nearest to -2 in 4, 2\/9, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 28*s**2 - 5*s + 5. Let k(r) = -111*r**2 + 21*r - 21. Give 21*c(x) + 5*k(x).\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a8 (base 16) to base 6.\nAnswer: -3052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3347, -1.\nAnswer: -1, 2, 3347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 6*p**2 + p - 12. Determine a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2890 - 2890. Let n(t) be the second derivative of o*t**5 - 3\/10*t**6 + 0*t**4 + 0 + 0*t**2 + t**3 - 13*t. What is the second derivative of n(q) wrt q?\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478358981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (140\/(-160))\/(1\/(-8)). Factor c**2 - 136*c**3 + 62*c**2 - 10*c**4 - d*c**2.\nAnswer: -2*c**2*(c + 14)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/(-8) - 6\/(-24). Suppose -c - 74 = -5*s + 2*c, 3*c - 70 = -4*s. Suppose 3*j = -s*f + 14*f + 3, -2*j + 12 = -2*f. Solve -l + i = j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16597577 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t + 9. Let v(l) = -l + 1. Let n(x) = -2*b(x) + 22*v(x). Let g(w) = 11*w + 3. Let h(d) = -18*d - 5. Let o(f) = 10*g(f) + 6*h(f). What is o(n(i))?\nAnswer: -24*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 - 102. What is the remainder when c is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 372082, 372094, 372114, 372142?\n\"Answer: 4*c**2 + 372078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -385, -491, -691, -1015, -1493, -2155, -3031?\nAnswer: -4151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - -10)*6\/4. Solve 0 = a*r + 5*x + 5, 3*x - 10 = 2*r - 32 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 1.6. What is the second smallest value in -4\/5, j, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.826485 millilitres?\nAnswer: 0.006826485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17827900 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than 69\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeme. Give prob of sequence ee.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26108 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 22604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/4)\/(142\/568)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25158976 is divided by 702.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/60 - z**3\/3 + 6*z**2. What is the derivative of l(u) wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2\/4 - 2573129*h\/4 - 428855\/2 = 0.\nAnswer: -1\/3, 857710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 23.4. Let j = -8.1 - v. What is the third smallest value in j, -0.3, -0.5, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-1 + (-9)\/(-36))*2\/(-66)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n - 1. Let y(f) = 6*f. Let w(a) = -5*l(a) + 4*y(a). Let k(j) = 17*j + 276. Let r be k(-16). Give w(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/3 - 4*a - 32\/3 = 0?\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + -7. Let r be (-4)\/10 - j\/5. Suppose r*c - 27 = 1. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 11 - 16)*(0 - 5 + 4)*(0*n + 2*n + 0*n) to the form f*n + p and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(35) - (2*sqrt(560) + sqrt(35)) - sqrt(105)\/sqrt(12))\/((sqrt(30) - (sqrt(30) + sqrt(1470)*1))\/sqrt(6)).\nAnswer: 17*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:27 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 156361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 5) to base 14.\nAnswer: -3da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 15. Suppose -3*d - 2*l = -20, 3*d + l - 13 = c. Let f be (-4 + (-50)\/d)*-3. Calculate the highest common divisor of 148 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(704)*-4)\/((sqrt(400)*6)\/sqrt(4)))**2.\nAnswer: 704\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -52, 2, -3 in descending order.\nAnswer: 5, 2, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 523962\/496 - (-3)\/(-8).\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2725820 and 35186.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 896 a factor of 1455088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*a + 18 = 0, -3*a + 6 = -a. Suppose -2*c + 2*g + 324 = 0, o*g - 170 = -c + 6*g. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257332 divided by 64333?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 6498?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -77 - -74 - (1 - (6 + -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2608784, 2608776, 2608768?\n\"Answer: -8*q + 2608792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -20. Suppose c*u + 12 - 123 = 0. Suppose 0 = -3*o + 5*a + 34, -4*o = -o - 2*a - u. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3118, 16564, 53052, 124102, 241234, 415968, 659824, 984322?\n\"Answer: 1920*w**3 + w**2 + 3*w + 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2297*v - 36707. What is m(16)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**6\/120 + j**5\/12 + 5*j**4\/24 + j**3\/6 + 14*j**2. Let d = -6 + 4. Let u(v) = -v**2 - v. Determine d*o(m) - 10*u(m).\nAnswer: 2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 52. Let x(c) = c**3 - 11*c**2 + 3*c - 7. Let q be x(r). What is the highest common divisor of 182 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, 7, 39, 93, 175, 291?\n\"Answer: w**3 + 2*w**2 + 3*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/3 of a hour in seconds?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 36*k**2. Let y(o) = 3118*o. Determine y(c(l)).\nAnswer: 112248*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2516208 divided by -4272?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10388\/(-5936)*9\/(-14)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11302?\nAnswer: 2, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 611 = x + 2542, -2*x = -2*l + 958. Calculate the remainder when l is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 85*y. Let a(j) = -57*j**2 - 4. Give i(a(b)).\nAnswer: 6498*b**4 - 3933*b**2 - 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 278, -3 in decreasing order.\nAnswer: 278, 6, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*a + 319 = -261 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22769061 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 8:29 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -543 - -543. Let t(k) be the first derivative of 0*k**5 + 0*k + 29\/26*k**4 + a*k**3 - 4\/13*k**2 - 25\/39*k**6 - 6. Find n such that t(n) = 0.\nAnswer: -1, -2\/5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/8)\/((-10)\/60)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -226*y**3 + y. Let x be k(-1). Let j = -75 + 77. Suppose 4*t + 16 + 1 = c, j*t = -5*c + 129. What is the highest common factor of x and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4))**(1\/22)*(g**(20\/7)\/g)\/((g*g**(-2\/27)\/g*g)\/g) assuming g is positive.\nAnswer: g**(7463\/4158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12139, 97368, 328719, 779260, 1522059, 2630184, 4176703, 6234684?\nAnswer: 8877195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 5*b - 3*w + 171, 0 = -3*b - 2*w + 129. Calculate the remainder when (-4)\/10 - 2224\/(-10) is divided by b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.3, -267.3, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/150)\/((-16)\/10 + 1)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {r: 1, b: 2, g: 1, p: 2, t: 1, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -645, 4, -296\/77, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*s - 69*s + 640. What is the greatest common divisor of s and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 11) to base 12\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**4\/12 - 521*j**2. Let i(p) = -121*p**2. Determine i(a(z)).\nAnswer: -484*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/35 - (1 + 33\/(-7)). Suppose 3*c - 690 = 2*b - 4*b, d*c + 3*b = 921. What are the prime factors of c?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:36 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*y**2 + 13*y**2 + 8 - 30*y**2)*(-7*y - y + 0*y)*(-2 - 3 + 4)*(2 - 1 - 2) to the form p + s*y**3 + g*y**2 + z*y and give z.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16180)\/16*1*(-2)\/(-20). Let r = 101 + v. Sort 1, r, -1\/3 in ascending order.\nAnswer: -1\/3, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17850 + 301*d - 17850 - 76*d.\nAnswer: 225*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47567 + -47558.8711. Let j = -0.0089 + z. Let d = j - 9.3. Round d to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*r + 4*u - 6*u, 5*u - 25 = 0. Let v(p) = -2*p - 2. Let c be v(-3). Let f(k) = c*k - 4*k + k**r. Let t(z) = z. What is t(f(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -207, -394, -579, -762?\n\"Answer: y**2 - 190*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2 - 2*f - f + 3 + 3. Let a be z(0). Is 0.2 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -13*g**3\/6 + g**2\/2 - 5*g. Determine t(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1 + 1 + 8*f**2 - 1. Suppose -j + 19*j = -9540. Let n = -529 - j. Determine m(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-45)*(-7)\/2. Suppose -t*s**2 - 8\/5 + 32\/5*s = 0. Calculate s.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 <= -234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 + -6 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27936 is divided by 383.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645)*-2)\/(sqrt(729) + sqrt(729)*-1 + sqrt(729) + sqrt(729)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2 - 1. Let b be (-5)\/(2*j\/6). Suppose -b*a + 535 = -0*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000110000010 (base 2) to base 6.\nAnswer: 32430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -95*w + 572. Let f be i(6). Solve -150 = -f*g - 162 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*r - 10 = -8*r, 0 = -l - 4*r + 8. Solve -u + 27 = 4*u - k, l = -4*u + k + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/18*-1)\/(2\/9). Suppose 1 - 1\/2*w**y + 2*w**2 - 5\/2*w = 0. Calculate w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -285.955 + 286. Let i = -0.04303 + x. What is i rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 253.444 - -0.556. Let o = 253.999 - b. Which is smaller: 2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002151014013 to six decimal places.\nAnswer: -0.002151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11063927 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71183620 and 943.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79264579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -66*k**2 + 20 + 65*k**2 - 17 - k. Let f be 2 - 1\/2*10. Give l(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -8 - 2) + (-2)\/(-2). Put 3, 76, n in decreasing order.\nAnswer: 76, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*x - 3*x**4 - 4*x - 2 + 4*x**4 + x**3 to the form f*x**4 + v*x**3 + h + p*x + g*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 10 = 5*l - 6*a, -4*l - 3*a - 22 = 0. Let j be l\/(-14) - 498\/(-21). Suppose -2*o + 6 = -j. Round o to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1206.095 decades to years.\nAnswer: 12060.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvvvvuvvv. Give prob of sequence vvu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) -8\/7 (c) 4\/7 (d) 5\/2 (e) 1\/4 (f) -137.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.419 + -15.419. What is the nearest to 4\/3 in 2\/9, w, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Which is the third smallest value? (a) -0.2 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 times 4\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -120*i**2 + 32*i + 67. Let f be w(-2). Let a(s) = -53*s**2 + 4*s. Let k(r) = 6307*r**2 - 477*r. Calculate f*a(x) - 4*k(x).\nAnswer: 53*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-14))\/(480168\/(-21546)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:37 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -110, -69, -12, 61, 150?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5760*h**4 - 39*h**3 + 7*h**2 + 76484*h wrt h.\nAnswer: -138240*h - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432980 is divided by 86592.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0)**(-1\/26)*((n*n**(-3)\/n)\/n)**(2\/7))**(-3\/10))**(3\/13) assuming n is positive.\nAnswer: n**(36\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 34*h**2 + 42*h - 19. Is o(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5874 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -502 - -3005\/6. What is the common denominator of z and 43\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3 (c) -0.5 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u + 6259785 = -6821415. What is u rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 7204\/127813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -9. Let s be d\/5 - 782\/(-85). What is the tens digit of 2\/s - (-534)\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27599440 divided by 6352.\nAnswer: 4345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 12.97.\nAnswer: -4.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/((-690)\/23)*402\/(-36).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2334*j - 2. Let x be b(-12). Let f = -17608 - x. Suppose 27598 = -k - f. Round k to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b*b**49\/b*b)\/b)\/(b**(-49)*b) assuming b is positive.\nAnswer: b**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 33 = 5*r - 23, 26 = -4*r - 2*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 8*x**2 + 13*x + 17. Give o(-8).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-364)\/80 - -1 - ((-1349)\/(-95) + -15)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 183348 + -52?\nAnswer: 183286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125844 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2079517226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 2)*(-2 + -1). Let i(b) = 5*b - 7. Let x(a) = -11*a + 15. Let s(f) = -7*i(f) - 3*x(f). What are the prime factors of s(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*2 - (-55)\/(-11). Let g be (q\/(-10))\/((-4)\/20 - -3). Suppose 0 + 4\/7*y - g*y**2 = 0. What is y?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 8184463009363?\nAnswer: 8184463009362.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(5808\/10142) + 57)\/(7\/4).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 7 = 5*n. Let g be -2 + ((-30)\/(-3))\/n. Solve -4*i = -g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/(-7 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*w**2 + 22*w**2 + 223 + 490*w**4 - 172*w**4 wrt w?\nAnswer: 1272*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 847*g**6 + 2*g**2 + 142*g wrt g?\nAnswer: 101640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 + 6. Let c(d) = 4*d**2 + d + 4. What is -6*c(j) + 4*y(j)?\nAnswer: -12*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**5*r)**18\/((r**4\/r)\/(r\/(r\/((r**(-19)\/r)\/r))*r)))**(1\/12) assuming r is positive.\nAnswer: r**(121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 5, 0.08, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*0.074.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5287 and 47498?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*j - 4*p, 0 = -3*j - j - 2*p - 58. Let x be ((-2)\/(-14))\/(j\/7). Is x <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - p + 5623 = 0, -4*d + 4*p = d - 7013. List the prime factors of d.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 12:07 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 0.4 (c) 3 (d) -120 (e) -95 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/15)\/((-14)\/(-35))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, z: 1, k: 5, l: 5}. What is prob of sequence lu?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 2420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**4 + 11*h**3 + 14*h**2 + 8*h - 8. Let i(v) = 2*v**4 - 7*v**3 - 9*v**2 - 5*v + 5. Let k(c) = -8*i(c) - 5*s(c). Find y such that k(y) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184057859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.90849 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1116 and 847912?\nAnswer: 7631208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let u(n) = -3*n**2 + n**2 + i*n**2. Let v(h) be the second derivative of -h**3\/3 + 11*h - 1. Determine u(v(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 58569\/(-6)*-4*(-3)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -19*k**2 + 57. Let c(z) = 1. Let y(q) = -57*c(q) + t(q). Let v(x) = 87*x**2 - 6 - 88*x**2 + 6. What is y(v(b))?\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1352274 and 3234?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -152, -0.4, 3\/8, -39, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 330393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52672880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 - 0.8. Let y = o - -8. What is the smallest value in 0.5, 1, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 - 152. Suppose o = 9*n - 12*n + 549. List the prime factors of n.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131*z**6 - 7822*z**5 - 747425*z**2 + z - 1.\nAnswer: -15720*z**3 - 469320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (504\/(-32))\/(-21) - ((-44807)\/(-1848))\/37 and (8\/(-12))\/((-4)\/146)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7755*c**5 + c**4 + 16353*c**2.\nAnswer: -465300*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1700) + -3 + 1)*-5)**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1100 * 5\nAnswer: -5500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -6)*(-3)\/2. Suppose n + 1 = 2. Let j(c) = 1. Let k(o) = -o - 9. Let f(s) = n*k(s) + 6*j(s). Give f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/16694 and 27\/2975.\nAnswer: 2921450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6))**(-41)*(a*a*a**3)**(-1\/5) assuming a is positive.\nAnswer: a**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/7 + (-4)\/(-14). Suppose -4*a + q = 3*q - 142, c*a - q - 94 = 0. Suppose -v - y + a = 1, 2*v + 4*y - 64 = 0. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43543.161 to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 240*b**2 + 230*b - 2516. Determine d(-241).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7113*r**3 + 34470*r**2 + 36*r. Let f(j) = 1778*j**3 - 8617*j**2 - 8*j. Let k(z) = 2*b(z) + 9*f(z). Find the third derivative of k(h) wrt h.\nAnswer: 10656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjii when four letters picked without replacement from {j: 4, c: 4, b: 3, i: 6}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 y when four letters picked without replacement from {w: 1, y: 2, g: 1, c: 4, l: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*x**3 + 17*x - 77364*x**4 + 297*x**2 + 63*x + 198*x**2 + 77359*x**4 + 550*x = 0 for x.\nAnswer: -3, -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13697*t + 27396*t - 13699*t - 118429*t**3.\nAnswer: -118429*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3548238 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2387?\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -554c49 (base 15) in base 11?\nAnswer: -2328059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -27, 4, -3 in increasing order.\nAnswer: -27, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**4 + 2*b**3 + b**2 + b + 3. Let s(i) = 123*i**4 - 2*i**3 - i**2 + i - 809. Let c(l) = -2*s(l) - 2*z(l). What is the derivative of c(w) wrt w?\nAnswer: -976*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625.747g in nanograms?\nAnswer: 625747000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 + 0.3. Let j = -222 - -220.39. Let g = j - r. Round g to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.05, -0.057, -7, 0?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2107*o + 3 - 12 = 2098*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3 - 5 + 2 + 4*c**2. Let z be b(-1). Let o be -3*(-3)\/(9\/32). What is the highest common factor of z and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 2, p: 3, q: 9, i: 3, z: 1}. What is prob of picking 1 x, 1 z, and 2 q?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 65*t - 2. Let k be x(1). Let h = 3743\/30 + -373\/6. Let s = k - h. Which is the closest to s? (a) 5 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 1\/4 (c) 218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-20)\/b**21*b**2*((b*(b**0\/b)\/b*b)\/b)\/b*b assuming b is positive.\nAnswer: b**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 33. Let a(d) be the first derivative of d**2\/2 + 34*d + 29. Let b(n) = -2*a(n) - 3*q(n). What is the first derivative of b(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 29*c - 28*c - 1 = 0, 3*g + 4*c + 17 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 937112, 937141, 937170, 937199?\n\"Answer: 29*f + 937083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjzg when four letters picked without replacement from {z: 2, h: 2, v: 1, q: 3, j: 3, g: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 2, g: 3, x: 3, u: 4, y: 3}. Give prob of picking 2 x, 1 n, and 1 g.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - -54) + -13 + 79?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 54*d**3 + 2*d**2 - 3. Let z(p) = -41*p**3 - 2*p**2 + 2. Let k(y) = 3*b(y) + 4*z(y). Determine k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 34 - 22 - 2 - v.\nAnswer: -v - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006837 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 5*x + 13. Let t be ((-1)\/(-6)*8)\/(6\/(-27)). Let a be p(t). What is the highest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1532 bigger than -1510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f**3 - f**2 + 5*f - 14. Let q(x) = -5*x**3 - x**2 + 2*x - 7. Let c(d) = 9*q(d) - 4*r(d). Let g = -191 - -186. Calculate c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 + t - 6 + 1 + 3 + 2*t**2. What is g(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -34, -59, -98, -157, -242, -359, -514?\n\"Answer: -r**3 + 2*r**2 - 16*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 18. Let b be t(5). What is the units digit of 2\/b*36\/(-24) - -106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3856631.\nAnswer: 3856631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-3)\/(-24)). Let c(i) be the first derivative of i**3\/3 + i**2 - 3*i - 10. Let h be c(u). Solve 2*s = -h*q + 10, q - 2*q + 19 = -3*s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -24. Let q be 9\/(9\/(-2))*f. What is the greatest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/7 (b) -2\/17 (c) 1669 (d) -0.4 (e) -0.1 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x + 3*x. Suppose -x*c - 89 = -3*c. Suppose -3*o - 999 = -3*f, 0 = -f + 4*o + c + 232. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - x**2 + 2*x - 2. Let f(l) = 3*l**3 - 4*l**2 + 7*l - 6. Let o(q) = 2*f(q) - 7*w(q). Let a be o(0). Solve -11 - a*k - 6*k - 2*k**2 + 3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13066, 12993, 12920, 12847?\n\"Answer: -73*j + 13139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8718505 - -4?\nAnswer: 8718509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 - 3)*(y**5 + 2*y**5 + 0*y**5) + 0 + y**5 + 0 + (2*y**4 - y**4 - 2*y**4)*(-3 + 2*y + 3) - 3*y**5 + 0*y**5 - y**5.\nAnswer: 13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135695 - 65701. What are the prime factors of h?\nAnswer: 2, 79, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11746 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 954301.5 milligrams to tonnes.\nAnswer: 0.0009543015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-101 - 251 - 27 + 42 - 231)*(6936*p - 6795*p - 4 + 2) to the form m*p + k and give m.\nAnswer: -80088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1 + z**3 - z**2 + z + 0*z**3 - 2*z + 0*z. Let f be h(1). Factor -1\/2*d + 0*d**2 + 1\/2*d**3 + f.\nAnswer: d*(d - 1)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*l*w**2 + 5*b**2*w**2 + 2*b**2*w - 3*b*l*w**2 + b*w**2 wrt l.\nAnswer: -b**2*w**2 - 3*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = 2*m, 6 = 3*m - 7*q + 3*q. Find the third derivative of -54*j**5 + 28*j**5 + 20*j**m - 3*j**2 - 44*j**4 + 24*j**5 wrt j.\nAnswer: -120*j**2 - 1056*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/7 - 1978*z\/7 + 1420 = 0.\nAnswer: -994, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 129*i - 50 + 11 + 15 + 7.\nAnswer: 129*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/10)\/1*5. Let c be 12\/q*5\/(-15). Let w(h) = -h**2 + 5*h + 14. Let d be w(7). Is c at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1231205435 - 25?\nAnswer: -1231205463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 691.\nAnswer: 2\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 8*z + 108 = 4*f, -54 = -2*f + 4*z. Let c = -32 + f. What is the nearest to 1 in c, -1\/8, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3304 = 968. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*o + 1500 - 11454. What is the remainder when o is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 31, 66, 117, 190?\n\"Answer: h**3 - h**2 + 21*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2194 = 3*v, 0 = 2*p - 5*v + 23 - 882. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(68) + (sqrt(68) - (sqrt(68) + -1*sqrt(68))*1))\/(sqrt(484)*-2*2).\nAnswer: 7*sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-45))\/((4\/10)\/2). Let i be 30\/40 - (-1)\/v. What is the second biggest value in 3\/8, 3, i, -2.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhtt when four letters picked without replacement from {h: 8, t: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65124 = -49*f - 554*f. Solve -262*i - f = -298*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-4 + 6 - 5) - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 114, -323160 in decreasing order.\nAnswer: 114, 3, -323160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + -1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -17*c - 91. Let p(m) = -4*m - 21. Let i(n) = 6*j(n) - 26*p(n). Let h(k) = 424*k. Determine i(h(w)).\nAnswer: 848*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1155 and 623018.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 17 = -2*r. Let s = r + 30. Suppose -v - 13 = -2*z + 37, -5*z = -s*v - 122. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5645 - -1.323.\nAnswer: -5643.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -1 + t**2 + 1\/30*t**5 + 0*t + 0*t**3 + 1\/12*t**4. Let w(x) be the second derivative of h(x). Factor w(k).\nAnswer: 2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-34))\/(10\/(-595)*-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + f - 10. Let s be g(-5). What is the first derivative of 0*j - s - 2*j - 14*j**4 + 2*j wrt j?\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 430 = -2*h + 75, -3*m = 2*h - 507. What is the remainder when h is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = -3330 + 3602 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 47*j**3 + 9*j + 14*j**2 - 2 - 46*j**3 - 43*j. What is z(-16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8577 and -0.1.\nAnswer: 857.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0.0531, -11, -2?\nAnswer: 0.0531","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -403?\nAnswer: -403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.8 in -0.4, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 73 = -5*y, 0 = 2*t - 3*t + 3. Suppose 0 = -2*g - 29*u + 30*u - 16, 4*g + 5*u + 18 = 0. What is the units digit of (g\/y)\/(1\/(-76))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*f + 57. Solve 3*s + 3 = -f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-5)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2800 is divided by 148?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 - -69. Let s be -1*(1 + d)*(-8 + 7). Let o(q) = -2*q + 0*q**2 + 2 + q**3 + 0*q**2. Let v(u) = -5*u**3 + 9*u - 8. Determine s*v(i) + 9*o(i).\nAnswer: -i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1272729 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149\/12 + -35\/3. Let m be (6\/(-4))\/(-16 - 37\/(-2)). Let l be 1*(-4)\/(-14) + 0. What is the nearest to l in -1\/4, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, -13, -3\/4 in decreasing order.\nAnswer: 2, -0.1, -3\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805053 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 25 = 2*r - 3*l, 15 = 2*r + 3*l. Let v be (-10)\/(-4) + (r - 2). What is the nearest to -1 in 3\/4, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 = 5. Let p(y) = 0*y + 1 - 10980*y**z + 59981*y**2 + 2*y. Let l be p(-1). Round l to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 105\/10)\/(10278\/(-540) + 19)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -2*r, -56 = -4*h - 2*r. Let n be (33\/(-440))\/(h\/(-10)). Put n, -0.2, -1, 0.8 in decreasing order.\nAnswer: 0.8, n, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -450003621 + -3?\nAnswer: -450003624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 11040 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14699\/15675 + -28\/475. What is the common denominator of (-469)\/(-402) - 11\/(-5) and u?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + -23 + (0 - -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 66*o**2 - 66*o + 64. Let i be y(32). Solve -3*j - 5*x + 5 = 0, -35 = -5*j - i*x + 5*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -14*z + 27*z - 2*b, 2*b + b = 6 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, l: 1}. Give prob of picking 2 e.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = -3*u, -4*d + 10 = 2*u - 2. Suppose -3*s + d = -10. Suppose -8*t = -s*t - 12. Let h(q) = q - 2. Calculate h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in -2, -4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1098034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 14) in base 9?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 128*v + 9081. What is i(-71)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7138053316 to the power of 1\/2, to the nearest integer?\nAnswer: 84487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1 (b) -2 (c) -2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -61 - 9. Let v = s + -17. Calculate the lowest common multiple of 20 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15 = 10*u - 15*u, 7 = y - u. What is the biggest value in 26, 3\/2, y?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/((-6)\/(-16)*1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30520121444 - -2?\nAnswer: 30520121450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 8*v. Suppose -4*h - 21111 - 28489 = v. Round h to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 15. Let p(j) = -8*j - 106. Calculate the remainder when w is divided by p(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 (base 13) in base 15?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (25 - 24 - 11 - -28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 148500?\nAnswer: 148500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.639106ml to litres.\nAnswer: 0.005639106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*w + k, -4*w = 4*k + 46 - 2. Let q = 11 + w. Solve -q*c - p = 13, 4*c + 3*p = -0*p - 19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -46*v**2. Let o(c) = 3*c - 25923. What is o(y(g))?\nAnswer: -138*g**2 - 25923","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 17*a - 5. Let p be i(-14). Let j = -32 + p. Solve -13 = -j*w - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 1. Let k(p) = p**3 + 22*p**2 - 26*p - 64. Let r be k(-23). Let o(u) = u - 1. What is r*c(b) - 5*o(b)?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 73\/4 of a milligram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -37*p**4\/24 - 7*p**3\/6 - 32*p**2. What are the prime factors of v(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/6, -4, 93\/77?\nAnswer: 93\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*f - 5 + 1 = 0, 12 = -5*o - f. Let r(x) be the first derivative of 5*x**3\/3 + x**2\/2 - x - 4. What are the prime factors of r(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 9. Suppose -y + 2*a = -2, 0*y - 2*y - 2*a + 22 = 0. Give f(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 33*q + 36.\nAnswer: -3*(q - 1)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8398589*g**2 + 5154850?\nAnswer: -16797178*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(23\/(897\/6))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183469*t - 91733*t - 91736*t - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 74\/16 + (1 - 45\/72). Solve -5*h + 222 - 272 = -y*f, 20 = 5*f + h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.2 times 4\nAnswer: -48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o, -6*w = -2*w + 5*o. Is w less than or equal to 10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 3:43 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 at least as big as 89\/184537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d75 - -2?\nAnswer: -6d73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465, -922, -1365, -1800, -2233, -2670?\nAnswer: -3117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -307*z + 308*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167026512 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 202 = -210. Let t(y) be the third derivative of -y**4\/6 + y**3\/3 + y**2. Let j be t(c). Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, 1\/9, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1 - 25*x + 11*x + 11*x + x**3 + 5*x**2. Let s be (-14)\/3 + 4\/(-12). What are the prime factors of f(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1380*62\/4650)\/((-8)\/10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2740?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 3:04 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40114491631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -513 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -755, -2866, -6253, -10808, -16423, -22990, -30401?\nAnswer: -38548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 4. Solve h = -f*h - 3*c + 15, -2*h + c + 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2*-32*(-6)\/36. Suppose -t*x + 21*x - 30 = 0. What is the common denominator of -85\/76 and 2\/x*118*93\/124?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172959*b**2*z**3 - b**2*z - b**2 - 7151*b*z + 2*z**2 wrt z.\nAnswer: 1037754*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/5)\/(3\/(-9)). Let s be ((-1364)\/(-24))\/11 - 5. What is the nearest to -2 in 0.1, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.7 + -5.8. Let l = -41362.0981 - -41366. Let s = l - k. Round s to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7591513 and 6205065.\nAnswer: 6205064.2408487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5*-6811131\nAnswer: 34055655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-236)\/460 + 16\/(-184)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367438 to the power of 1\/2, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 v, and 2 n when four letters picked without replacement from nnnnnonnvunoono.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*h - 10 = -26, -4*q + 28 = 4*h. Solve q*y - y = -25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2869*u**3 + 2*u**2 + u - 3. Let p = 6 + -11. Let n be k(p). Let o = n - -148583. Round o to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13*q**3 - 122*q**2 - 6*q - 112. Let v(g) = -8*g**3 + 80*g**2 + 4*g + 74. Let u(c) = 5*j(c) + 8*v(c). What is u(-30)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -169*g + 1375. Let l be u(8). Solve 0 = 2*a + 5*q + 19, a - l + 5 = 3*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and -0.046.\nAnswer: 2.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.91 - 16.09. What is the biggest value in m, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281946541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*p = -0*h - 12, -2*p = -4*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 26\/4 + ((-228)\/(-24) - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j = 48*j - 20. Suppose -50 = -5*f - j. Let q(k) = 6*k**2 - 1. Calculate the least common multiple of q(1) and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1099*d. Let t(s) = -113*s. What is t(i(u))?\nAnswer: 124187*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 + 3*b**4 - 4*b**4)*(0 - 3 + 4) - 3*b**4 + 4*b**4 + 0*b**4 - b**4 + 6*b**4 - 3*b**4.\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001408 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 132\/77*(-7)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1435 and 507782786.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(4\/11))**(-7\/3))**(-9))**(-1\/6) assuming w is positive.\nAnswer: w**(-63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (156408\/126)\/((-2)\/(-3)). Suppose 4*q - g = 1905, -528 = -5*q + 3*g + c. Calculate the greatest common factor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/67 + 731\/201. Calculate the common denominator of 21 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*n = -3, 2*n - 5 = n. Suppose -3*u - x = -187. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 119 - ((0 - 6) + 3). Suppose t = 6*r - 10. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -121 + 16*f - 18*f - 70 - 80 in the form g + z*f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let n(v) = -v**3 + v**2 + 3*v - 1. Let s(d) = n(d) - 3*t(d). Determine s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55466656351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17\/136 + (-183)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, h: 9}. Give prob of sequence hhh.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 87. Suppose 0 = 2*o + o - 6. Put u, 0, o in descending order.\nAnswer: o, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/275?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.462, 1\/12, -5, -0.4?\nAnswer: 0.462","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -16fe?\nAnswer: 16fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-12))**(-27) assuming l is positive.\nAnswer: l**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.1336 and 5.\nAnswer: -25.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158370 != 3158367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 497994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(38)\/sqrt(2) + -2 + sqrt(19) + 0 + sqrt(1216) + sqrt(171)\/(sqrt(36)\/sqrt(4)) + -2.\nAnswer: -4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - ((-41 - 54) + -42).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 433?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and 0.0679.\nAnswer: -1.7654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -20, 1.\nAnswer: -20, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1 + -4 + 24376)\/(-7 + (-64)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -879 - -900. Solve 0 = -6*d + 3*d - 3*b - q, 0 = 4*d - 4*b + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 7 = -31 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1490 = -t - 0*h + 2*h, t = 4*h + 1498. Let g = -202 + 203. Calculate the common denominator of 89\/15 and t\/(-180) + (1 - -2)\/g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - 1.4. Which is the third smallest value? (a) -5 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54324941 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12581?\nAnswer: 23, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419 + -396 + -4 + 2 + -11 - (-50 + -4).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 788177 is divided by 3257.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -10*i. Let f(y) = -3*y + 6*y - 8*y. Calculate h(f(g)).\nAnswer: 50*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -502 - -24562523?\nAnswer: 24562021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 17646070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/4 - t**3\/3 + 3*t. Let x be s(-2). Let a(r) = -r**2 - 7*r + 10. What are the prime factors of a(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12*j - 73. Determine f(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*-2*-2)\/sqrt(7)*-2 - (3 + (sqrt(17) + sqrt(17)*1 + 4 - (sqrt(17) + 1 + -5))))**2.\nAnswer: -110*sqrt(17) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1065 + -963. What is the biggest value in -4, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(14\/(-74))*(-447)\/447\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34100302 (base 5) in base 14?\nAnswer: 7b501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3, 2, 85 in decreasing order.\nAnswer: 85, 5, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 135667783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*m**3 - 681*m**3 - 680*m**3 - 671*m**3 + 4066*m**3 - 681*m**3 - 678*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4157425*j**2 + 19159*j - 17.\nAnswer: 8314850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*p = 13*p - 764 + 3632 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 2*t**2)*(-1290*t - 1339*t + 3801*t**2 + 2631*t).\nAnswer: 7602*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 3*f**2 + 5. Let k be 1794\/(-414) - (-4)\/(-6). Calculate o(k).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1214826372 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2783511.1 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.15 - 3.6. Let u = h + 0.35. What is the second biggest value in -4, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784139 (base 10) in base 5?\nAnswer: 424043024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (-18)\/12)*(1 - 9). Is x\/(8\/(-4)) - -913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 782*p**2 - 625 - 261*p**2 - 257*p**2 - 142 + 3*p - 262*p**2 to d*p + f*p**2 + x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1186 - -1218. Calculate the remainder when 121 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157 - -655. Suppose 0 = -2*t + 4*n - 816, t + t = 3*n - i. Round t to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 97827 - 14991. Suppose -38*b + f = -14. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1122, -931, -740, -549?\n\"Answer: 191*l - 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 70*f - 70*f)*(-2*f**2 + 2*f**2 + f**3).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 8 = 4*x. Let t(b) = 3*b**2 + 18*b - 9. Let j be t(x). Let u(v) = 39*v - j*v + 3*v**2. Let h(f) = -f. Calculate h(u(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**26*i*i**(-15)*i*((i*i**(11\/2))\/i)\/i**(-7) assuming i is positive.\nAnswer: i**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n - 1. Let r be c(-5). Let v = -43 + r. Which is smaller: v or -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 2. Suppose 4*k - 95 = -0*k - p, -65 = -2*k + 3*p. Suppose -v + 5*v = -u - k, 2*u = -3*v - 20. List the prime factors of w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/(-33)*15\/10*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*d + 389, -5*t + 10*t + d - 1987 = 0. What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -75*z + 7 - 78*z - 79*z + 240*z. Let o(u) = -15*u - 13. Give 6*o(i) + 11*x(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 609*b**3 - 22 - b**2 + 286*b**3 + 14*b + 322*b**3. Give i(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*f - 23 = -5*f, 16 = 3*i + 2*f. Let g(p) be the second derivative of -10*p**i + 0 + 7\/3*p**3 + p. Differentiate g(o) with respect to o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**3 - 7*j**2 - 9*j - 6. Is y(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 - (-12 - (4 + -1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {b: 6, v: 3, u: 2, m: 2, r: 4}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -2\/35 (c) 1\/5 (d) -0.1216107 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3 - ((-17 - -7) + 22))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 843108.7 millimeters in nanometers?\nAnswer: 843108700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -780 times 1.1?\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1131210 + 3?\nAnswer: -1131202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/12*280\/(-100)*6\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*d - 11. Suppose -5*g + d = -2*g. Solve -2*l - 5 = -y, g*l + 11 = 4*y + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01852945 rounded to four dps?\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/7, 4, -95, -1\/20 in descending order.\nAnswer: 4, 3, -1\/20, -1\/7, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 59326812\/680 + 2 - -3. Let m = -87250 + o. Calculate the common denominator of 64\/35 and m.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 7*d + 4*d)*(3 - 5 - 3)*(4 - 5 + 43*d - 41*d).\nAnswer: -130*d**2 + 65*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**3 - 138*t**2 + 53*t + 75. Let s be x(15). Solve -5*l + 30 = 190*w - s*w, -3*w = 5*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-1 + -6 + -1)) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i - 2. Suppose 4*a - 4*v = 96, -5*v + 18 + 9 = i*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q - 6. Suppose 187 - 203 = 4*h. Let b(x) = -10*x - 11. Calculate h*b(o) + 7*n(o).\nAnswer: 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 508037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 1, b: 4, g: 1, f: 4, q: 3}. Give prob of picking 1 q, 1 l, and 1 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-22)\/w*w))**(-28) assuming w is positive.\nAnswer: w**(-644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 7*z**6\/6 + 2*z**3 - 4*z. What is the second derivative of x(s) wrt s?\nAnswer: 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -238927 and -0.42.\nAnswer: 100349.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -520712 and -15?\nAnswer: 520697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(-2*r + 5*r - r) + 2*r - 5*r + 4*r)*(-r**2 + 2*r**2 + r**2).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + (sqrt(468) - (1 + sqrt(468))) + -5)*4 - (-2 + sqrt(468) - sqrt(468))*5*-1)**2 + -5.\nAnswer: -1632*sqrt(13) + 8639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 230*i**2 + 32*i + 378. What is the thousands digit of b(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**2*t*w**2 + 2*d**2*w**4 + 6*d*t*w**4 - 4*d*t*w**2 - d*w**4 wrt w.\nAnswer: 48*d**2*w + 144*d*t*w - 24*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2073353*f**4 - 2553*f + 35 wrt f?\nAnswer: 24880236*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35653313 and 1886?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. Let n(u) = 5*u**2 - 6 + 0*u - u - i*u**2. Determine n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, -1, -29, -79, -157?\n\"Answer: -j**3 - 2*j**2 + j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030321310 + 0?\nAnswer: -1030321310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.002 * 27884\nAnswer: 55.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*r - 4. Let i be (3\/(-6))\/(r\/72). Let n = i - -7. Let z(x) = x + 9. Calculate z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -303, -2516, -8543, -20292, -39671, -68588, -108951, -162668?\nAnswer: -231647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 6 = -3*b + 12, 0 = 2*b - 4*h + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 2, -125, -3\/7, 0.47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1700, 0, 13 in decreasing order.\nAnswer: 1700, 13, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-4)\/3 + -2. Let v(p) = 13*p - 1. Is v(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 437219600 divided by -5\nAnswer: -87443920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118442 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -469\/23 + 2483\/115. Put -1, -4.7, i, -0.02 in increasing order.\nAnswer: -4.7, -1, -0.02, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1302 * -21\nAnswer: 2.7342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtg when three letters picked without replacement from {t: 5, w: 2, c: 1, z: 2, f: 1, g: 2}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11059.\nAnswer: 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 6, 5, -2, -3 in increasing order.\nAnswer: -3, -2, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -110, -130, -152?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**2 - 417*j + 714. List the prime factors of d(97).\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*h - 327*h = 0. Suppose -o = -h*b - 3*b - 326, 336 = o - b. Calculate the greatest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307360386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**3 + 5*r**2 - 5*r. Let y(q) be the first derivative of 11*q**4\/4 + 8*q**3\/3 - 4*q**2 - 46. What is -8*c(b) + 5*y(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3fa - -8?\nAnswer: -3f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502147*o + 2 + 0 - 4.\nAnswer: 502147*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -49. Suppose 0 = 24*a - 28*a - j. Let q be (-34)\/a + (-9)\/(108\/8). Solve 6 + 4 = q*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -445245, -445663, -446081?\n\"Answer: -418*h - 444827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 970430 rounded to the nearest ten thousand?\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -644, -678, -734, -812, -912?\n\"Answer: -11*g**2 - g - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1807 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311\/((-3)\/9 - 6\/(-9))?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -56 (b) -17 (c) -0.0524 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -766*u**2 - 2*u. Let x(w) = -167443*w. Give x(q(y)).\nAnswer: 128261338*y**2 + 334886*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*(-8)\/((-64)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 19205\/24959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1010101010110 (base 2) to base 7\nAnswer: -21632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/6*(-2)\/3. Let k be -27*((-5)\/v + 1). Suppose -3*x = -5*a - 33, -a + k = x - 5*a. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 2942*d**2 - 195229*d\/2 + 94672.\nAnswer: (d - 32)*(d - 1)*(d + 5917)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2382.7 * -1.777.\nAnswer: 4234.0579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 388, 776, 1164, 1552, 1940?\n\"Answer: 388*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6885 - -6896. What is the lowest common multiple of v and 4092?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25415 is divided by 4227.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-2*t**5 + 4*t**5 + 0*t**5) - 2*t**5 - 15434*t**3 + 5*t**2 + t + 15434*t**3.\nAnswer: -6*t**5 + 5*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11412 and 11729.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*v = -992. Suppose l - 166 = -3*d, 0*l - v = -2*d + 2*l. Let z = 163 + d. Is z a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2277805 is divided by 8020.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15\/1*18\/4*50\/675\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/((663\/731)\/39)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -24, -41, -60, -81, -104, -129?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16243123*t + 13295 - 47612 = -16243492*t for t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Suppose 2*z + g*a = -5600010, 5*z + 14802016 = a + 802021. Round z to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v**3 + 3*v**2 - 14*v + 2. Let k(c) = -13*c**3 - 4*c**2 + 14*c - 3. Let p(f) = -3*k(f) - 4*u(f). Find the second derivative of p(o) wrt o.\nAnswer: -102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -128*t**3 - 1660*t**2 - 3788*t + 120 = 0.\nAnswer: -10, -3, 1\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 35*d**2 - 41*d - 178. Calculate j(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48773 + -9)\/(-2 + -5 + 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 1:41 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q**4*t - 245*q**4 - 10*q*t + 3*t + 703 wrt q.\nAnswer: -12*q**3*t - 980*q**3 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146128 is divided by 583?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000005373 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9749707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.1, 0.4, -1\/12, -1\/8, 14?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1. Let g(p) = -p**2 + 2*p + 6. What is -g(n) + 6*s(n)?\nAnswer: n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + s - 3)*(2*s + s - s) + 12 - 12 - 11*s**2 + (1 - 3*s - 1)*(-s + 4*s + s) to the form h + f*s**2 + p*s and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456 - 138 + 15*u**3 + 6*u**3 - 136 - 8*u**3 - 182.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3893 divided by -229.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.55 + -6.7. Let m = 0.55 + t. What is the fourth biggest value in m, -0.2, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534268 divided by 4?\nAnswer: 133567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + 8*v**2 + 13*v**2 - 13*v**2 + 5*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 + -111101001111011?\nAnswer: -111101010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11687 - 8822334.\nAnswer: -8810647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*s*y - 2*k**3*s + 29278223*k**3*y + 3*k**2*y + 7*k*s*y - 11*k*s + 1782*k*y + s*y wrt k.\nAnswer: -12*s*y - 12*s + 175669338*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*m + 1 + 5*m + 1 - 1 + m + 3 - 3 + 5*m - 6*m + 3*m + (-2*m - 2 + 2)*(0 + 0 + 2) - 4 - 2*m + 4 - m - m + 4*m + (4 - 6 + 3)*(-4*m + 0*m + 5*m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2852 in 2\/7, -1.3, 0.4, -2\/3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-470)\/50 - 2\/(-5)) + 3. What is the smallest value in k, -2\/3, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -40*w - 72. Let l be m(-3). Let r be (7\/(-6))\/((-24)\/l). Determine x so that r*x + 1\/6*x**2 + 0 = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, f: 5, h: 5}. What is prob of picking 2 w?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009387 rounded to five decimal places?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 14*d**2 - d + 5. What is the tens digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -7414.78486848.\nAnswer: -7414.28486848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -56, -43, -28, -11, 8, 29?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2374\/3 + 796. Find r such that -49\/6*r**2 + u*r - 2\/3 = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + 12 + (-14 - -30) + -30.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:01 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 205 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168603 is divided by 527?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*s = -6. Solve 6 = 5*n + s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (1 - (4 + -4)) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1509, 6017, 13537, 24075, 37637?\nAnswer: 54229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2062084*b**2 + 7644*b**3 - 16*b**4 - 2070720*b - 3629*b**3 - 518400 + 7489*b**3 = 0.\nAnswer: -1\/2, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8 and -13\/1784.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -20*m**4 - 91185*m**3 + 2269205*m**2 + 573000*m = 0.\nAnswer: -4584, -1\/4, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + 15 + -19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149906859.\nAnswer: 3, 49968953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17799 - -17799.2. Which is the biggest value? (a) 9\/16 (b) k (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 259*w**2 + 23568*w - 109. Calculate l(-91).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**3\/3 + 11*p**2\/2 - 30*p + 19. Let u be c(6). Sort -1, -2, u, -3 in ascending order.\nAnswer: -3, -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from rfpgf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 11.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -854 and -0.0028.\nAnswer: 2.3912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 561272206 to the power of 1\/2, to the nearest integer?\nAnswer: 23691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431208 a multiple of 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 888895 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19096686 rounded to the nearest one hundred thousand?\nAnswer: 19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8 + f + 5 + 7 - 18. Let r(o) = -3*o - 5. Give -14*c(s) - 6*r(s).\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2)*v\/v**(1\/4))\/(v**4*v\/((v\/v**8)\/v)) assuming v is positive.\nAnswer: v**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118679953.\nAnswer: 7, 41, 61, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*k = -10*k + 30 - 72, -5*y = 3*k + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.747 + -2.253. Let l = -398 + 397.94. Which is the fourth biggest value? (a) -55 (b) l (c) x (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12412*h**2 + 14*h + 45452937 wrt h.\nAnswer: 24824*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 14*k**2 + 2*k - 14.\nAnswer: -2*(k - 7)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 610 = 2*x - 2*r, 3*x - 2*r = 899. Let l be (-45537)\/x - 4\/(-14). Are l and -150 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193983\/8711 + 690\/31. Let c = f + -1085\/3653. Put -0.4, c, 2 in decreasing order.\nAnswer: 2, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -796314, -3185036, -7166240, -12739926, -19906094, -28664744, -39015876?\nAnswer: -50959490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 272551, 1090241, 2453063, 4361011, 6814079, 9812261, 13355551?\n\"Answer: -p**3 + 272572*p**2 - 19*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 + 22*g\/5 - 24\/5.\nAnswer: 2*(g - 1)*(g + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15016, 29904, 44676, 59338, 73896, 88356, 102724, 117006?\n\"Answer: k**3 - 64*k**2 + 15073*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*i - 24*i + 5. Suppose -2*v = -6*v - 5*u - 17, i = -v + 2*u. Suppose 2*n = n + 3. Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 + -13)\/(13\/(-156)). Let a(x) = -x**3 + 10*x**2 + 21*x + 21. Calculate a(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 + -19.8. Let j = 15 + w. Which is the third smallest value? (a) 2 (b) 0.6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1 - 56*f**2 + 4*f + 58*f**2 + 3 - 6. Let m be i(0). Put -5, m, 2 in descending order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45737948 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 1, t: 1, d: 4, z: 1}. Give prob of picking 1 t, 1 l, and 1 i.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 48 + 24. Let w be (-4)\/(-14)*42\/t. What is the smallest value in 1, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 33*a = 28. Let m be ((-161)\/a)\/((-2)\/4). Suppose 5*j - 327 - m = 0. What is the highest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67479\/8770 - 5\/877. Calculate the common denominator of -85\/22 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402881, -403146, -403407, -403664?\nAnswer: -403917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i**3 - 10*i**2 + 9*i - 67. Calculate z(5).\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 150*o**2 - 90*o - 193. Determine v(-2).\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 + 150. Suppose -j + 203 = 4*m, -2*j + f = 5*m - 18. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 28 = -2*o. What is the units digit of 4\/o + (-192)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 752 and 1692.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35411\/3450 - -659\/69. Calculate the common denominator of -46\/1845 and c.\nAnswer: 18450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0312090579 to four decimal places.\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45633 and 219261.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-649)\/59 + ((-4)\/(-1) - 5 - -9))*-82. Suppose -25*v**4 + 190*v - 1585\/2*v**3 - 64 + b*v**2 = 0. What is v?\nAnswer: -32, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 298 - 150. Let g = z + -44. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g*g**6*(g**1)**(7\/9))\/(((g\/g**(1\/5))\/g*g*(g*g**(-1\/2))\/g)\/(g**(-4)*g**(-3))) assuming g is positive.\nAnswer: g**(43\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 902781499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(377\/(-26)))\/(14\/(-77))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, q: 2, t: 2}. Give prob of sequence qt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -10, -26, -48, -76, -110, -150?\n\"Answer: -3*i**2 - i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 1 - 207 = -11*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/6 + 31*l**2\/3 + 883*l\/2 + 3627 = 0.\nAnswer: -18, -13, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1008)*1)\/(-3*1*sqrt(256)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -647, -1305, -1963?\nAnswer: -2621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -34*d - 24. Let k(x) = -23*x - 16. Let s(f) = -5*b(f) + 8*k(f). Suppose 5*q - 7 = 8. Let g(r) = -3*r - r - r - q. Calculate 8*g(y) - 3*s(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = z + 9. Let l(y) = 2*y**5 - 4*y**4 - 2*y**3 + 8*y**2 - 2*y - 2. Let t(v) = -v**4 + v**3 + v + 1. Let i(g) = z*l(g) - 2*t(g). Factor i(x).\nAnswer: -2*x**2*(x - 2)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1656285*g**3*n + 9*g**3 + g**2*n - g*n - 161799*g + n + 3 wrt g?\nAnswer: 9937710*g*n + 54*g + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 4*n**2 + 6*n - 6. Let u be y(4). Let x be 224\/36 - 3 - 4\/u. Suppose 75 = 5*b - x*w, 4*b - 5*w = -11 + 58. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/(-52))\/(1 - (-2)\/(-4)). Let u(d) = 5*d - 3. Let f be u(p). Suppose 2*h - f*n = 672, 6*h - 1389 = 2*h - 5*n. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (28 + -25)\/((-2)\/590*-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**0\/q)\/q*q)\/(q\/q**(-3)*q))\/(q**(-2\/3))**48 assuming q is positive.\nAnswer: q**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 189*c - 192*c - 4*l, -5*l = -c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02989594318 plus 5?\nAnswer: 4.97010405682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27614 is divided by 4522?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26134542 (base 7) to base 5\nAnswer: 1102104022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1276 by -2.\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 179 = -155. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7137 by -5.\nAnswer: 7137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.34 - -7.44. Let t = -2.1 + x. What is the closest to -0.2 in 2, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 4*m**2 + 2*m. Suppose -8*g = -10*g - 4. Give z(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/5 - 2\/5. Suppose -g + z = 2*g. Differentiate 0*r + r - g*r - 2 wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x**4 - 50\/7*x**7 + 134\/3*x**3 + 0*x**2 + 0*x**6 + 0*x + 100 + 0*x**5. What is the third derivative of t(l) wrt l?\nAnswer: -6000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/5)*w)\/(w*w\/w**(-1)))\/(w**2)**(1\/17))**33 assuming w is positive.\nAnswer: w**(-7062\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(6*-1*sqrt(65) - (sqrt(65) - (sqrt(65) + sqrt(65)*-1)*-3)))\/(sqrt(60)\/sqrt(108) - sqrt(500)*-2).\nAnswer: -4 + 105*sqrt(13)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1632134 + -85?\nAnswer: 1632038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 239 = -231. Let a(t) = 44 - v*t - 44. Let y(r) = r**2 + 2. What is y(a(q))?\nAnswer: 4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 62\/10 + (-33)\/165. What is the closest to -0.1 in 1\/2, -0.4, p, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 284\/8*6*4\/(-3). Is -4 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 12167039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-2 - sqrt(252))\/(4*sqrt(16)).\nAnswer: -9*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 6 = -20*t + 16*t, -181*t + 177*t + 4*k = 6*k - 3*k + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*p**3 + 306*p**3 + 63*p**3 + 643*p**3.\nAnswer: 1304*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 1:06 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362959, -725921, -1088883?\nAnswer: -1451845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -201 + -37?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 4:40 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 14, 22, 24, 14?\n\"Answer: -n**3 + 6*n**2 - 3*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 9:25 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -k + 9, -3*y - 112*k = -107*k - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 803 = r, 3*m + 437 = -3*r - 358. Round m to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 2) + 15 + -9 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.5 + -9. Let f = 111\/7 - 16. What is the smallest value in t, 0, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3 - 17*a**2 - 2*a*d - 784*a - 2*d - 87710 wrt a?\nAnswer: 6*a**2 - 34*a - 2*d - 784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(160)*-4)\/(sqrt(80)\/(sqrt(60)\/(sqrt(6)*1))).\nAnswer: -32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -15.5792.\nAnswer: -15.2792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1580 and 7900.\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2904231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -581404655 by -2171.\nAnswer: 267805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 608*f + 952*f - 2443 + 130*f**3 + 1723 - 965*f**2 - 5*f**4 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -145\/3, 3\/20, -5, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (8 - (2 - 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 11*s - s - 63*s**2 + 3 + s**3 + 6*s**3 + 61*s**2 in the form x*s + a*s**2 + u*s**3 + k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*j = -131*j + 5. Sort j, -2, -0.13, 2.\nAnswer: -2, -0.13, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13431 and 3108?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 22. Calculate the least common multiple of l and (-5)\/(9\/81*-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 5*w**2 - 5. Let j(q) = -2*q**3 - 6*q**2 - 6. Let g(d) = d + 19. Let t be g(-14). Determine t*j(o) - 6*y(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.28247 and -1022987930.\nAnswer: -1022987911.71753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/17)\/m)\/m*(((m**(-1\/2)\/m)\/m)\/m)\/m)**(-34)*(m**2\/m)**(2\/39)\/(m\/(m*m*(m**8*m)\/m*m)*m*m**(-5\/2)) assuming m is positive.\nAnswer: m**(17827\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3692 is divided by 1817?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28517994 - 28517990.8632978. Let r = 3.137 - u. What is r rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {r: 2, z: 5, d: 8, s: 1, v: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -6. Let l = a + -2. Suppose -5*b = -3*w + 34, 0*w - 3*w = 4*b + l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 578, 5, -5 in increasing order.\nAnswer: -5, 1, 3, 5, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q + 34. Suppose -1722 - 3177 + 769 = -295*h. Give v(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z**2 + 2*z**2 + (-1 + 0 + 0)*(z**2 + z**2 + 0*z**2) - 3*z**2 + 0*z**2 + 2*z**2 - 2*z**2 - 4*z**2 + 3*z**2)*(4*z**3 - z**3 - z**3).\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1162 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -202030320 (base 5) to base 3\nAnswer: -1112101020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - z**4 + 143806*z**3 - 47*z**2 + z - 118*z**2 - 143809*z**3 to d*z**2 + w*z**3 + f*z**4 + x*z + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1\/4, -2873\/2, -0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 - 9*t - 6. Let i(n) = -n**2 - n - 1. Let c(b) = 4*b + 17. Let q be c(-5). Let g be (5 + q + -1)\/(-1). Give g*x(a) + 6*i(a).\nAnswer: -a**3 + 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41201 (base 5) to base 8.\nAnswer: -5164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(208) - (sqrt(208) + -1 + 0)))**2 + (0 + -1 + sqrt(1300) - 5*(sqrt(1300) + -2 + sqrt(1300)))**2.\nAnswer: -1620*sqrt(13) + 105382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16926.517 - -16934. Let n = u + 0.017. Round n to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.18 less than -414054?\nAnswer: -414354.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 7*p**2 + 3*p**2 + 7*p**2. Let h(i) be the third derivative of -i**4\/24 + 2*i**2. What is f(h(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2144 - 2141. Which is the closest to o? (a) 89 (b) 4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujjek. What is prob of sequence jukj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 746632115140 + -13\nAnswer: 746632115127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**(-5)*m)\/m*m))\/((m\/m**(-8))\/m))\/(m**(-7)\/(m**(-3)*m))*m**(9\/4)\/(m\/m**(-8\/5))*m*m\/(m\/m**(-7))*m**(4\/5) assuming m is positive.\nAnswer: m**(-291\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/3 (b) -0.023 (c) 0 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 331+1049.650475\nAnswer: 1380.650475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -705, -690, -651, -576, -453?\n\"Answer: 2*q**3 + q - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let v(f) = -41*f - 41. Let s be v(-7). Suppose z + z - s = 2*r, -4*r = b*z - 355. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*g**2 + 221*g + 3 wrt g.\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -76572*b. Let r(y) = 4*y**2 + 137*y. Calculate x(r(v)).\nAnswer: -306288*v**2 - 10490364*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 divided by 3355410.\nAnswer: 131\/3355410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4\/13 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m**4*(m**(-1\/2))**(-2\/69))\/((m\/(m*(m*m\/m**2)\/m*m))**(1\/37)*m**(-2)\/m**(3\/4)) assuming m is positive.\nAnswer: m**(487\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109011941 is divided by 7267462.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*w + 42. Let v = 254\/7 + w. Let m = -0.65 - -0.95. What is the third biggest value in m, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5 = 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-3*-5)\/(sqrt(12)\/sqrt(27)))**2*-4.\nAnswer: -137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/6 + -1)*-4. Let g be j*3\/(-12) - 42\/(-12). Solve -g*t = 2*c + 19, -t + 5*c + 3 = -2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -4 + 0\/(-3). What is the second derivative of 14*u - 750*u**2 + 750*u**2 + 16*u**3 + 3*u**i wrt u?\nAnswer: 114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 141?\nAnswer: 42.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {d: 1, j: 8, p: 2, m: 2, z: 2, l: 5}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 10*f**2 - f - 6. Calculate j(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118095*d**3*n**2*q**2 - 29*d**3*n**2*q + 11*d**3*n*q**2 - 5010*n**2*q + 12*n*q wrt q.\nAnswer: 236190*d**3*n**2 + 22*d**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 9 - 6. Let y = 4 - w. Let g = 2844 - 2839. Solve -5*z + 0 = g*m - 5, 3*m + 5*z = y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39*(-2 + 16\/12). Let w = 62 + h. Calculate the remainder when w is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -205473\/58 - 35075949\/1160. Let h = j - -33789. Let r = h + -43\/5. Do r and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.2 (b) -554 (c) 1\/6 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.406 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from vvggvvggggvgvvvggvg?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 4475570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 15, 0 = -2*f - j + 4*j - 5. Put -4, -3, f, 3 in descending order.\nAnswer: f, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {x: 2, s: 3, q: 9, y: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100253 (base 6) to base 14.\nAnswer: -89c6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w - 7*w**2 - 203 + 203 wrt w?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4240\nAnswer: -1\/848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 + 1 - 1)*(9101*k - 9721*k - 3 + 3) as d*k**2 + g + a*k + v*k**3 and give v.\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 5850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -1\/2 (c) -2\/27 (d) -2\/5 (e) 5 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 2*p - 19. Suppose 82*g - 332 = 3276. What is the tens digit of (209\/g)\/((-2)\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 102*g = -101*g + 5, 3*g = 4*t - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*i - 6. Suppose -h - 1 = -i, -t + 36 = 5*h. Solve 3*o + 5*q = t - 29, 3*o + 2*q + 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by ((-69)\/2)\/(-2 + (-40)\/(-32))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 159488 = -7*v. Let b = -3237 + v. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*f - 105*f + 3891045. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16\/9 of a hour?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 6)*(2 + 45*v + 72*v - 78*v) as x + g*v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most as big as 199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j - 52. Let v be d(-6). Suppose -7*t = -3*t - v. Solve -z - t*z + 13 = 4*o, o + 4*z = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177\/8 - 27\/2. Find the common denominator of v and -71\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 588.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 1.4. Let i = -6.2 + -0.8. Let z = -4 - i. What is the second biggest value in z, 4, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 91 - 3*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 22*k - 120. Let c be x(13). Put -65, c, 5 in increasing order.\nAnswer: -65, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + -4*(-2*sqrt(363) - sqrt(363)) + (sqrt(363) - (-3 + sqrt(363) + -2 + sqrt(363))))**2*3.\nAnswer: 4356*sqrt(3) + 131877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 56. Let b be ((6 - 3) + 1)*-3. Let k be (-2)\/(-2) - (-12)\/b. Is 28 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 6, 7, -1, -173, -3.\nAnswer: -173, -3, -1, 1, 2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -36c9 (base 15) in base 3?\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - 6 - n**2 + 171 - n**2 to s*n + i*n**2 + g and give g.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*p**4 - 7*p**3 - p**2 + 4975.\nAnswer: 268*p**3 - 21*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 42*k**2 + 39*k + 86. Let o be f(41). Suppose 12*v**2 - 5*v**2 - 11*v**2 - o - 172*v + 180 = 0. What is v?\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12685 + -12301. What is the lowest common multiple of d and 144?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60328 (base 9) to base 16\nAnswer: 9ad3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*v - 2*v - 25, -d = -2*v - 10. Let p(s) be the second derivative of -s + 0 - 1\/30*s**6 + 1\/20*s**5 + 1\/12*s**4 - 1\/6*s**3 + d*s**2. Factor p(g).\nAnswer: -g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-1)\/3 + -1. Suppose -3*i + 2*i - 69 = p. Is i\/(-2) - (-2)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 384.7937 millilitres?\nAnswer: 0.3847937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-85)\/(-10) - 0)*-1 and 89\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 54*f**2 - 75*f + 9*f**4 + 16*f**3 + 77*f + 16*f**3 - 34*f**3 in the form r*f**2 + g*f + d*f**4 + m + x*f**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*x + 3*m, 3*x = 8*x + 2*m - 84. Solve -q = -n - 3*q - 6, -2*q = -2*n + x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 - 16*l - 2. Let w be u(6). Let t(p) = p**3 - 5*p**2 - 25*p + 19. What is the tens digit of t(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12381 - -12381.22. Which is the smallest value? (a) v (b) 4\/3 (c) 47 (d) 1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 3*h**2 - 11*h**2 + 7*h**3 + h + 3*h - 3*h**4. Let o(i) = i**4. Let m(x) = -2*o(x) - q(x). Factor m(k).\nAnswer: k*(k - 2)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 - 120 - 213 + 1405*h + 419*h with respect to h.\nAnswer: 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -64\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/(-105))\/(-2))\/((-2)\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9120 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -971*o**3 - o**2 - o. Let n be a(-1). Let m = -528 + n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87.3 - -81. Let x = p - -0.3. Let q = -2595\/8 - -324. What is the third smallest value in -3, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2145 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 2*r**2 - 2. Suppose 0 = 7*j + 49 + 14. Let k(m) = -8*m**3 + 9*m**2 - 9. Calculate j*b(l) + 2*k(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.5 + 14. Let t = -0.1 - g. Which is the closest to 1? (a) 1\/5 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 741. Let t be d(0). Suppose -o + r - t = -6*o, 0 = -5*r - 20. List the prime factors of o.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1303 - 145*p**2 + 1303)*(-2 - 2 + 5)*(-2 + 2 - 2*p).\nAnswer: 290*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35, -3, 96?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*h - 2. Let v = 128 + -124. Suppose -2*g - 9*y = -4*y - 25, 3*y = v*g - 11. Calculate the greatest common factor of h and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1622*j - 22 - 1622*j + 6675*j**2.\nAnswer: 6675*j**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 20*w + 156. What is t(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7627, 7625, 7623, 7621?\nAnswer: 7619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49665 and 12255?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 24*d - 165. Let b be a(5). Let i(n) = 2*n**2 + 5*n - 11. Let x(k) = k**2 + 2*k - 6. Give b*x(p) - 2*i(p).\nAnswer: p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -25. Suppose 0 = -4*a - m - 10. Let j(l) = l - 3. Let d be j(7). Sort 2\/5, a, d in descending order.\nAnswer: d, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h - 13 = 0. Let u = h - -18. Suppose u*c - 30 = 5. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9) - (-22)\/6. Suppose 59*u + 16 = 63*u, 5*u - 22 = -r. Solve j - 3 + 6 = -p*b, r*b = -2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1470 and -17\/490.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 99031770977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2*2)\/((-34)\/(-17))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126562?\nAnswer: 2, 63281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o = 16. Let t be (5\/(-2))\/((-2)\/o). Find the first derivative of t*v - v - 3*v + 1 + 2 wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 33, 55, 77, 99?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -13\/6*z**3 + 0*z - 1\/24*z**4 + 0 + 4*z**2. Let k be g(-13). Solve k = 5*s - 0*s + f + 7, -3*s + 4*f + 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 5. What is the nearest to 0 in u, 0.4, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*18\/24)\/((-57)\/38).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74157488 to the power of 1\/2, to the nearest integer?\nAnswer: 8611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 70*j**3\/3 + j**2 - j - 1. Let r be m(1). Suppose -4*c + 3*c - r = 0. What is c rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548099 divided by -120?\nAnswer: 548099\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 7*t - 40. Let v be 3*2\/(-4)*-26. Calculate the greatest common divisor of t and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151*f**2*i**3 + 5*f**2 + 8*f - 3*i**3 + 2*i wrt f?\nAnswer: 302*i**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzxrhjhhjazzj. Give prob of sequence jx.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 5*l = -6*i, 5*i = 5*l + 40. Solve -v - i = -0*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.12 and 2.36.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/5))**(-2\/45)\/(z**0)**(-33) assuming z is positive.\nAnswer: z**(-8\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107494430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3073 (base 10) in base 6?\nAnswer: 22121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18b07 - 7b?\nAnswer: -18b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(132) - (sqrt(132) - 1*sqrt(132)) - sqrt(132)))\/sqrt(12))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from njjfyfhhfjhfjf?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from izriizsii.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 14*n - 1123 + 545 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 377410332 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**4\/3 + 7*w**3\/6 + 3*w**2\/2 - 5*w. Let q(s) = -s**2 + s + 1. Give 5*q(o) - u(o).\nAnswer: -o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916685347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/21)\/((36\/168)\/(6\/(-104))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 3}. What is prob of sequence dd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmc when three letters picked without replacement from mscms?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 350902 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdii when four letters picked without replacement from dbbbddbibidbbbidd?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/3)\/r**(-1\/6)*(r**7)**35 assuming r is positive.\nAnswer: r**(1475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b + 10. Let h(d) = 2*d - 6*d + d + 4*d - 1. Let m(q) = -g(q) - 6*h(q). What is the derivative of m(s) wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 588 - 341. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174151476138504*k**2 - 174151476138526*k**2 - 3*k + 3*k.\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6 - 39\/9. Suppose 17*v - 12*v = -25. Let j be v*((-9)\/m + -1). Is -4 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/x)\/x)**(8\/7)\/(x**(-4))**(-17) assuming x is positive.\nAnswer: x**(-484\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55708240 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1204*p**2 - 2309*p**2 - 804*p**2.\nAnswer: -1909*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(168\/(-16)))\/(8\/((-3)\/(-3)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1664 - 1403?\nAnswer: -3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(24)\/(sqrt(96)\/sqrt(8)) + sqrt(2) - (4 + (sqrt(2) + sqrt(2)*-1 - sqrt(2))).\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4422 - 4427. Suppose -4*t = -11 - 21. Sort w, 3, t in descending order.\nAnswer: t, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 5*i - 30 = -n, -3*i + 12 = 0. Is ((-35367)\/(-39) - n\/13)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**3 - 3*s**3 - s**3 + 2*s**3 - 5*s + 3*s**2 in the form y*s**3 + r*s**2 + c*s + k and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**3 + x**2 + 75*x + 3. What is u(-7)?\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/51 and 47\/654909.\nAnswer: 11133453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x - 63*x + 6*x + 188 = 0. Let n(z) be the first derivative of -5*z - 39\/2*z**x - 13. Differentiate n(r) wrt r.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.03 + -1. Let w = 0.27 + x. Let l = -1\/31 + 34\/93. Put w, l, 2 in descending order.\nAnswer: 2, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 4*k + 3. Let h be r(-2). Let l be (3 - 0)\/(-1) + 3. Suppose -w + h = 2, l = -3*d - 2*w + 5. Solve g + 0 = -d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*33\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897932 is divided by 844?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 273601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-86)\/(-6) - 16) + 5\/(-15) - (-21 + 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.495 - -0.495. Let l = 1 - 0.8. Is l not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 1, v: 1, w: 1, q: 1}. What is prob of sequence ifw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350) - sqrt(350)*1)*-1)\/((sqrt(110)*1)\/sqrt(11))*-5)\/((-1*-1*sqrt(56))\/((sqrt(64) + sqrt(64)*-1 - sqrt(64))\/sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.3, -0.456, -1, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10*2*5\/70*((-65100)\/75)\/62\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(-10)\/(-2)*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1458 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0 + 13*c + 5 to m*c + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 654 = -2534. What is the remainder when 151 is divided by j?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(320))*-6.\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 156*n + 793. What is l(-5)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0287 (b) 0.5 (c) 58292\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = h + 4*y + 10, -4*h = -y - 11. Suppose -45 = -h*v - v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 755942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 28. Let l be u(-23). Suppose 32 = 9*n - l*n. Solve 7*i = n*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -7, -10?\n\"Answer: -3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:33 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(10\/3)*r*r)**(-7)\/(r*r**35*r**27\/r) assuming r is positive.\nAnswer: r**(-298\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 637632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u. Let w be c(0). Let g = w + -4. Find the common denominator of 31\/10 and 2*(g + 418\/56).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2150032, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 2\/3 (c) -125\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u + u + 0*u)*(-3*u - 40*u + 39*u - 87) + u**2 + u**2 - u**2 as s*u**2 + n + a*u and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 - 5\/20. Solve t + a*t + z = -2, -2*t + 8 = -4*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 3*q**2 + 163*q + 128. Let b be k(-14). Solve -136*p + 133*p = b*r - 20, -8 = -4*r + 2*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*j, -4*j = -5*j + 2*d - 15. Let i = -3 - j. Suppose -n = 3*c - i, -3 = -n + 2*c - 1. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5\/4 + 1977*c**4\/2 + 414085*c**3\/4 - 1232835*c**2 + 2959021*c - 1830696 = 0?\nAnswer: -3846, -119, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 + 258674*r**4 - 1034706*r**3 + 1552064*r**2 - 1034711*r + 258678.\nAnswer: (r - 1)**4*(r + 258678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26460\/441*(159\/81*-1 - (0 + -2))?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, 3 in descending order.\nAnswer: 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -1506, -2 in descending order.\nAnswer: 3, -2, -8, -1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from dsksksukkjjsjsjjujk.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 18*y**2 - 8*y - 5. Let h be s(-22). Let x = -711 - h. List the prime factors of x.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(-6*i - 3*i + 5*i)*(9 - 9 - 22*i**3) in the form d + n*i**2 + b*i**4 + g*i**3 + r*i and give b.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + 0.6. Let p = -44 - -18. Let u = p - -25. Which is the third biggest value? (a) k (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 804 and 34.\nAnswer: 13668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9\/(-12)*-1182 + (-8)\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10.555065 months?\nAnswer: 0.087958875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hal when three letters picked without replacement from lddhldxxdxalx?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 418335535*c**2*q**3 + 212478*c*q**3 + 48*c + 2*q**2 wrt c?\nAnswer: 836671070*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4\/12 + l**3\/3 + l**2\/2 + l. Let p be q(-3). Suppose 2*o - s = 6, 0 = 2*o + o + 2*s + 5. Sort -1, p, o.\nAnswer: -1, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:39 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2 = -2*m, -3 = m - 4*p + 1. Suppose -d - 4 = -5*k - 3, k = m*d + 80. Let l = -17 - d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 1:10 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 14*s**3 - 36*s**2 + 40*s - 16.\nAnswer: -2*(s - 2)**3*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14638 and 846752.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 16217*k - 3 - 16218*k + 38*k**2 + 4 - 3*k**4 as h*k**3 + g + o*k + u*k**2 + t*k**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 66, 64, 50, 18, -38, -124, -246?\n\"Answer: -o**3 + 5*o + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*q - 5842910. Let i = q + -1398910. Suppose 56*n - i = 60*n. What is n rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49738 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25227, 0.3, 177.\nAnswer: 0.3, 177, 25227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 84 = -4*z + 136, 0 = 4*z + w - 220. Suppose -z*j + 4043 = -42*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 3*n + 40, -6*n + n + 10*a - 11*a - 69 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4750 and 1805.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let w = -579\/92 - -25\/4. Let a = 17\/138 - w. What is the nearest to r in 0, 5, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002133 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9442491 is divided by 46.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/13, -0.5, -4, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-69)\/(-15) + 4\/10. Suppose -2*k + 4*g - 14 = 0, -2*k = 2*g - i*g + 9. Solve 2 + k = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -29. What is the common denominator of (-1)\/f - (-3892)\/168 and -23\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 - 3*m**2 + 12*m. Let u(h) = -h**3 + h**2 - h. What is d(r) + 3*u(r)?\nAnswer: r**3 + 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.4. Let t = -170.5 + 130. Let b = t + 40. What is the closest to 2\/5 in b, g, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 7. Let f(y) = 3*y + 10. Let a(r) = 5*f(r) + 7*h(r). Let v(j) = -j**3 - 5*j - 4. Give 4*a(s) + v(s).\nAnswer: -s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61, 106, 151?\n\"Answer: 45*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*l + 36*l + 2900 = -292. What is the greatest common factor of 208 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.92 + 74.88. Let l = g - 79. Which is the nearest to 0.1? (a) -3 (b) l (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + d)*(-46*d - 57*d + 55*d).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 9. Suppose -j - 4*d + 324 = -696, 4*d = -r*j + 2020. What is j rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 648796?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 j when three letters picked without replacement from jjbbjnk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61729 - 61819 = -30*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111100 - 1110010000001?\nAnswer: -1101110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -74.2. Let b = v - -22. Let n = 0.01 + -0.41. What is the closest to -0.2 in b, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/3*27\/(-6). Let b(k) = -k**3 + 13*k**2 - 9*k - 8. Let g be b(p). Let x = g + -8. Solve -m - x = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (8 - (37 - 19)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7228*l - 30 - 25772*l + 30.\nAnswer: -18544*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15710301 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4904 + 4966. Is 43 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35234\/(-30) + 4\/30. Let w be -2 - (2 + (-21107)\/(-18)). Let m = z - w. Find the common denominator of m and 113\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 17*u**4\/24 + 27*u**2. Let p(w) = 2*w. Give p(k(z)).\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*f + 511 + 566*f - 511 + 307*f.\nAnswer: 1126*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(288))**2 + sqrt(288) - (sqrt(98) + 1 + sqrt(2))) + (sqrt(128)*6 - (sqrt(50)*5)**2).\nAnswer: -99 + 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-98 + 8) - (-2)\/9. Which is the nearest to q? (a) 0.1 (b) -2 (c) -18 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 - 2*q + 65 + 3*q**2 + q + 5*q - 2*q**3 to n*q**2 + j*q + y*q**3 + m and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(513\/6)\/9)\/(5\/(-10)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010069 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**3 + 24*v**2 + 10*v - 17. Let y(b) = 2*b**3 - 8*b**2 - 3*b + 6. Let u(r) = 3*s(r) + 8*y(r). Let k be u(-7). Solve x = k*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/(-6))\/(2\/(-788)). Suppose -2*y + 1063 = -s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 1 - 1)*(0 - 2 + 3) + 2 - 2 - m + m + 0*m + m - 2 + 12*m - 16*m + 3.\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by (-13176)\/324*-2*3\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-459)\/(-126))*27\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1395508)\/(-30708) - (-120)\/(-27).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 106 = 4*a, 5*a - 4*y + 87 = -78. Let j = 23 - a. Calculate the smallest common multiple of 2 and j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 245*k**2 - 127*k**2 - 119*k**2 as w + u*k + z*k**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3173429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 24 = -2*f, 4*f + 15 = 3*m + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38399 is divided by 12777?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-21))\/(-1*((-8208)\/483 + 17))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4 + 3. Is (n + 5)*((-3219)\/(-2))\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 42*g - 463. Determine o(13).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3 - 7. Suppose 5 = 3*r - 2*r - 3*b, 0 = r + 3*b + a. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*i - 289*i = 38*i - 3972 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 453, 500, 635, 900, 1337, 1988?\n\"Answer: 7*k**3 + 2*k**2 - 8*k + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + -1 + 2*sqrt(180) + sqrt(180) + 1*sqrt(180) + -1))**2.\nAnswer: -3024*sqrt(5) + 26361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/9*k**4 - 4\/9*k**2 + 0*k + 2\/3*k**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 10 = -2*u. Let f = 24 + -26. Let c = f - u. Let z(b) = 6*b**3 + 8*b + 8. Let x(g) = 2*g**3 + 3*g + 3. Calculate c*z(d) - 8*x(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -24. Solve y - 3*q + 4*q = -3, 0 = h*y + 4*q + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (0 - 8) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201266, 201373, 201480, 201587, 201694?\nAnswer: 201801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143323 and 433.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*o + 7*o. Let r = -84\/11 - -599\/77. Let w = -166\/3 - -55. Which is the third biggest value? (a) r (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 737.3887l?\nAnswer: 737388.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 1 - 3 + 7*p**2 in the form w*p**2 + m + a*p and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:33 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -890*(12 + 29372\/(-2448))*1\/(-15) and 79\/18.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-38)*w)**(-2\/19)\/(w**23)**(2\/5) assuming w is positive.\nAnswer: w**(-504\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 1748922?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48675749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*k**2 - 2\/3*k**3 + 1760\/3 - 232*k.\nAnswer: -2*(k - 22)*(k - 10)*(k - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61340, 122663, 183986, 245309, 306632?\nAnswer: 367955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)\/(11 - 12). Find the common denominator of 204\/30 - (-2 - (0 - v)) and 12\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 4*p + 4. Let a be i(3). Let l be 3\/1*1*a. Suppose 0 = -3*w + 4*w - 24. What is the greatest common factor of l and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 11*p - 20. Let b be u(8). Suppose 5*q = -2*i + 9, 0 = b*q - 5*i + 7 - 34. Suppose 4*f + 3 = -q*j, 0 = j - 0*f + f. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6683, 26730, 60161, 106976?\nAnswer: 167175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*d - 3*n = 5, -d - 4*n + 6 = 0. Let r be 9\/(-6)*(-20)\/6. What is the greatest common divisor of r and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -21\/142, 2\/11, 0.2?\nAnswer: -21\/142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3318\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2827*c + 22998. What is n(-8)?\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + ((1 + sqrt(75) + sqrt(75))**2 - ((sqrt(12)\/sqrt(4))**2 + 0)) + -3.\nAnswer: 20*sqrt(3) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 433813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2118784027 - 0.7.\nAnswer: -1.9118784027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158.07 + 0.07. Let g = 162 + d. What is the closest to 2 in 2, -4, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/17, -165, 4?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 5, -26, 14, 3\/2, 10, -4 in increasing order.\nAnswer: -26, -4, 3\/4, 3\/2, 5, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let t be x(0). Let p(u) = -29*u**3 - u**2 - 5*u + 5. Let k be p(1). Let a be t*3*2\/k. Solve 4*f - 5*d - 6 = a, -3*f = -2*f + 5*d + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:28 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n**2 - 20*n**2 + 25*n**2.\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (5 - -10) + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -13*f - 2*f. Let x be (2 + -9 - -10)\/((-1)\/f). Solve -3 + x = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -17*z**2 - 5*z + 4. Let n be p(3). Let w be (12 + 12\/12)*(-3)\/3. Let o = w - n. List the prime factors of o.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -2 + 1)*2\/60.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 14, 34\/3845, 5?\nAnswer: 34\/3845","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*n + 37 = -3*g - 104*n, -14*g - 195 = n. Let q(s) = -s**2 - 8*s + 80. Determine q(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 315 = 6*g. Suppose 0 = 2*c - 5*c - 5*m + g, 0 = 4*c - 5*m. Let s(x) = -x**2 + 3*x + 4. Let w be s(3). Put -7, 0, c, w in increasing order.\nAnswer: -7, 0, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 3)*(-h - 346*h**2 + 762*h**2 + 608*h**2).\nAnswer: 3072*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1431 + 1743. Solve -306*a + f*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13559 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**4)*p\/(p**5\/p)*(p**1)**23)**(-4\/9) assuming p is positive.\nAnswer: p**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.72 in 0, -0.37, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*3*4\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5*k + 6)*(2 - 1 - 2) + (k - 2*k + 3*k)*(5 + 5 + 4) in the form n*k + f and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 - 0.3. Put r, 2\/5, 0.2 in ascending order.\nAnswer: r, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.973 - 0.027. Let j = -4.7 - q. Which is the nearest to 3? (a) -5 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 - 151. Suppose -n = 5*l - 3*l - 17, f*n - 64 = -4*l. What is the remainder when n is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 34736067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12220002111 (base 3) to base 15\nAnswer: -2456d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqffxffffqfqfffxf. What is prob of picking 3 q?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, l: 3, i: 5, w: 2}. What is prob of picking 3 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*q - 12921 = 31623 for q.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 252.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = 2*n + 95, 2821*j + 3*n = 2816*j - 20 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in decades?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2\/7 + 768*s\/7 + 5364 = 0 for s.\nAnswer: -42, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.56*5.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11123\/5 + -2225. Is 0.0319 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.4 (c) -817 (d) 4 (e) -5\/82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 1 - 5. Let x(b) = -b**2. Let q be x(i). Let a(r) = 6*r**3 - r**2 - 2*r - 1. What is a(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16148354.\nAnswer: 2, 37, 47, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 417. Let v(w) = -21*w**2 + 2*w - 2. Let u(z) = -31*z**2 + 3*z - 3. Let l(b) = -2*u(b) + 3*v(b). What is m(l(h))?\nAnswer: h**2 - 417","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from fggglllugffg?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16367156285+3\nAnswer: -16367156282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 3, -65\/4.\nAnswer: -65\/4, -6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15115 divided by -5?\nAnswer: -3023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 6*z**2 - 5*z + 1. Let y be t(-5). Let c = 110\/67 - 4773\/2948. Which is bigger: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73782937187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 50.28455um?\nAnswer: 50284.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/3650 and -11\/20.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -5, -0.0052 in increasing order.\nAnswer: -5, -0.04, -0.0052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-12)*(-108)\/96.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 23 = 5*x + 3*h, 4*h = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 150616*o\/7 + 301240\/7.\nAnswer: -2*(o - 75310)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 313880460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 c, 1 t, and 1 k when four letters picked without replacement from ftckccktzktcccwkk.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351463665.\nAnswer: 5, 37, 79, 89, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 284166647 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 228*o + 2137. Give n(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 840 + -536. Calculate the highest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5221 in -2\/21, 1, 3, -1\/4, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15598 rounded to the nearest ten?\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7299666 + -3.73. Round n to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from {h: 2, q: 6, k: 1, e: 1, l: 2, n: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:18 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-270)\/24 - -11). Let d(h) be the second derivative of m*h**4 + 0 + h + 18*h**3 + 108*h**2 + 1\/20*h**5. Find r such that d(r) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 + -0.25. Let u = s - 1.87. Put 2, u, -0.4 in decreasing order.\nAnswer: 2, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + f. Let h(q) = q**3 + 5*q**2 - 2*q - 2. Suppose 0 = -7*k + 1218 + 364. Let g = k - 225. Calculate g*h(i) + 2*b(i).\nAnswer: i**3 + 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3 + 3\/2*f**2 - 4*f - 1\/2*f**4 + 2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 73 = 103. Suppose -4*d - 5*w = -197, -d + y = -5*w - 8. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 0)*(-45)\/(-30). Suppose w*l + 3 = -3*j, -2*l + 4*l + 4*j + 6 = 0. Solve 2*q + l = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -4. Suppose 3*s - 8 = -2*f - 0, s + 9 = -m*f. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 57*j**2 + 107*j - 42. Is 11 a factor of d(-61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471, -1906, -4299, -7650?\nAnswer: -11959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1283*w + 4*w**4 + 1292*w + 11*w**4 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27500?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 742553 divided by 1\nAnswer: 742553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/20*80\/20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0271 + -0.1799. Let a = -16.693 + y. Round a to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(8\/(-8)*24\/(-84))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.007 + 0.042\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101111001001 (base 2) in base 7?\nAnswer: 125335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 2*w**4\/3 - 2*w**3\/3 - w**2 - 2702*w. Let k(o) = -4*o + 2*o - 1 + 2*o**2 + 2*o**2. Give -5*k(j) + 3*r(j).\nAnswer: 4*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36 (b) -119 (c) -2\/17 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 59. Let g(i) = 12*i + 58. Is g(s) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 0*s**2 + 11*s**2 - s**2. Let p(x) be the second derivative of x**3\/2 - 49*x. What is p(v(u))?\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 7 = -0. Which is bigger: -24\/11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83571451163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -204 in -4\/5, 2, -4, -91\/6?\nAnswer: -91\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*q + 29 = 1, 2*u + 5*q = 26. Suppose -5*d + 244 = 3*h, -2*d - 5*h + 240 = u*d. Calculate the greatest common factor of d and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1464078324 to the nearest integer?\nAnswer: 38263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 9537580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8736*x**2 - 2 + 11433*x**2 + 4*x - 4*x as y + h*x**2 + u*x and give h.\nAnswer: 2697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 - 311*x**2 + 106*x + 217. Calculate m(-104).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c668 (base 13) in base 16?\nAnswer: -3783f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*j + 21 = w, w + 4*j + 9 = 0. Suppose 7*l + 12 = w*l. Let o = l - -4. Which is smaller: 0.4 or o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 39, -2, 850 in increasing order.\nAnswer: -4, -2, 39, 850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 519 - 505. Suppose 2188 = x*g - 10*g. List the prime factors of g.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 17799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 1\/210*k**6 + 0*k**3 - 5*k**2 + 8\/21*k**4 + 0 + 8\/105*k**5 + 19*k. Factor c(h).\nAnswer: 4*h*(h + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-108)\/(-60))*12\/(-45)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0 + 0*a + 2*a**2 + 1\/15*a**5 + 1\/3*a**3 + 0*a**4. What is the derivative of j(z) wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530125 (base 7) to base 12.\nAnswer: 44a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + -2*sqrt(11))*5 + (3 + sqrt(77)\/sqrt(7) - -3*sqrt(88)\/sqrt(8)))**2.\nAnswer: 16464*sqrt(11) + 56105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 13*f - 30. Suppose 14 = 3*y - 10. Let q be i(y). Solve 3*l = -d + 3*d - q, 4*d = 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 + -130. Calculate the least common multiple of -33*2*1\/(-3) and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284 != -121720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -14 (b) -0.09 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 25*q - 221. Let i be l(9). Solve 5 = i*n - 3*h, -3*h - 2*h + 11 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(4\/13)*l*l*l*l)\/l**(-7)*((l*(l*l*l\/(l**(-5)*l))\/l)\/l)\/l**(5\/2) assuming l is positive.\nAnswer: l**(437\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.58 - -1.17. Let d = 0.01 + z. Let t = -0.6 + d. Which is the smallest value? (a) t (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, t: 6, y: 1, r: 4}. Give prob of sequence nr.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 896, 3312, 7346, 13004, 20292, 29216, 39782, 51996?\n\"Answer: p**3 + 803*p**2 + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 5*o**2 - 7*o + 2. What is u(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -a - 5*w + 23, -2*w + 12 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5192 and -0.3.\nAnswer: -1557.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 575 and 45655.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrllrlrlmlrmlllrr. What is prob of picking 2 m?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 430 - -1?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)\/(l*l**(-5\/3))*l\/l**6*l*l**(3\/5)*l assuming l is positive.\nAnswer: l**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + -110 - ((-1 - (-3 + -1)) + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a (base 16) to base 4.\nAnswer: -11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 9:51 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/548 or 3\/2?\nAnswer: -1\/548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 26 = -43*j + 45*j, -j - z + 10 = 0. Which is bigger: j or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5) - ((sqrt(35) - sqrt(105)\/sqrt(3))\/sqrt(7) - sqrt(5))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -150*s + 7. Suppose -71*r + 76*r + 10 = 0. Is n(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 14*j + 179*j + 314 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/(1692\/(-24)))\/((-16)\/66)*56\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from ifiikbikkriiiixkkiri.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2 - 2*x + 3 - 5*x**2 + 3 + 2*x**3 + 3*x. Let g(j) = -5*j**3 + 14*j**2 - 3*j - 11. Let o(i) = 11*a(i) + 4*g(i). Suppose o(m) = 0. Calculate m.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2758*z - 13*z**2 - 2758*z + 2*z**3.\nAnswer: 2*z**3 - 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {y: 10, s: 4}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34231321424 - 3?\nAnswer: -34231321432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294276569.\nAnswer: 294276569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/465 and 16\/15.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 58, 317, 3, 8, 4 in increasing order.\nAnswer: 2, 3, 4, 8, 58, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1997 or 204\/11?\nAnswer: -0.1997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -134.915\nAnswer: -674.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhqqhyhqhyhyqyw. Give prob of sequence qyhw.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*f + 8, 3*f + 17 - 2 = 0. Solve 2*q - q - c*b = 5, b + 25 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2532664155?\nAnswer: 3, 5, 7, 971, 24841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -13. Suppose -2*v + n = 5*n + 28, l*v - 2*n = 2. What is v rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368250749 is divided by 184125371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036287 rounded to 5 decimal places?\nAnswer: -0.00363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*y - 10. Let x = y + -5. Let m = x - 2. Solve m = -a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 17 = -160*u - 1207 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50872475371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223\/(288785\/222)*((-298)\/(-78) - 4).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 1. Let k = 107 + -110. Let r be 2*k*(2 + 5\/(-6)). Determine s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 + 7*u - 7. Let v be l(5). Suppose 3 = v*c - 9. Is (c\/6*-339)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 114 + 8*l**2 - 5*l + 203 - 47.\nAnswer: 8*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert 960076.5ns to milliseconds.\nAnswer: 0.9600765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2 + (1 + 1 - 4)*(2 - 2 - 2) + 2 - 4 + 1)*(5*d**3 - 4*d**3 + 2*d**3 - 3*d**3 - d**3 + 5*d**3 + (0*d**2 + 0*d**2 - 2*d**3)*(1 + 0 - 3)).\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 1102375328.1 and 0.04.\nAnswer: 1102375328.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*l = 1280, 3*l + 1725 = 5*n + 129. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 90 = 0, 12517*d = 25041*d - 12523*d + c + c + 30 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - 1) + (-309 - -308) + 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 7:41 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = 4*a, 4*f - 2*a - 5 = -1. Suppose -j + 1143 = -2*r, 0*j = f*j - 5*r - 2282. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*j - 115, 4*o - 8*o = 3*j - 145. Let n = o + -13. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 199.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.651539 to 3 decimal places.\nAnswer: -0.652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 5:29 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -16 + -1 + (-3 - -13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, p: 2, s: 2, j: 2, q: 1, b: 4}. What is prob of picking 1 b, 1 p, and 1 x?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -r - 366. Suppose 5*d - 4*i - i = -20, -5*i - 20 = 0. Let x be ((-30)\/(-40))\/(r\/d). Which is greater: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/4*m**2 - 2 + 7\/2*m + 1\/4*m**3.\nAnswer: (m - 4)*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.290214 grams to nanograms.\nAnswer: 5290214000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in -1\/7, -216, 0.5, -0.6, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((-676)\/(-98020))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 701, 703, 717, 749, 805?\n\"Answer: h**3 - 5*h + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-292)\/(-365)*10\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759427 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1503, 6003, 13503, 24003, 37503?\nAnswer: 54003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 291 + -237. Suppose 3*j - p = -72. Which is smaller: -19 or j?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 21 - (-2492)\/119 - 381\/459?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 116182, -2, -4, 4, 1, -5 in descending order.\nAnswer: 116182, 4, 1, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -66, -5\/6, -4\/15 in increasing order.\nAnswer: -66, -5, -5\/6, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114209629.4901 + -296.\nAnswer: -114209925.4901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:50 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/15 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - b**2 - 1. Let c be h(2). Suppose 3*k - k = 116. Suppose 2*r + 2*z = r + k, -z = c*r - 149. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 324016*l**3 + 169224*l wrt l.\nAnswer: 1944096*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*190\/10)\/(3\/(-3))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/60*(-2)\/(-10)*-3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2189 and 8955.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*l - 3*l**2 - 94 + 243 - 85 - 94.\nAnswer: -3*(l - 10)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86.31 + -1.31. Let s = n + -84.941. What is s rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**3 + 2*n**2 - 8*n - 9. Let u(l) = 3*l**3 - l**2 + 4*l + 5. Let t(g) = -7*u(g) - 4*y(g). Let k be t(3). Let c = k - -90. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -115. Calculate the greatest common divisor of 34 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -1\/17, -22, -0.1, -12 in increasing order.\nAnswer: -22, -12, -4, -0.1, -1\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03871 - -0.3.\nAnswer: 0.33871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -25\/56?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193968093 is divided by 952?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t. Let f(r) = -17296*r**2. Calculate b(f(y)).\nAnswer: -138368*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81251.65km to centimeters.\nAnswer: 8125165000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2\/(-2 - -4)). Sort k, 3, 0 in decreasing order.\nAnswer: 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.78 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 + 134?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 20*s**2 + 32*s.\nAnswer: 2*s*(s - 8)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20928, 41896, 62908, 83964?\n\"Answer: 22*h**2 + 20902*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6*a - 4*a = 8*a - 1302 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 13*q**2 - 19*q + 7. Let x be p(-14). What is the highest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/(r*r**10\/r)))**(-49))**(1\/23))**(1\/23) assuming r is positive.\nAnswer: r**(-441\/529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 11:58 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*k + 9, -i + 2*k = i. Let w be 24\/(-9) - i\/3. Put 1, w, -4 in decreasing order.\nAnswer: 1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/2 - 3\/2. What is the third biggest value in 2\/3, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 60994790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16145 - -69480. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37, -81, -127, -175, -225, -277?\n\"Answer: -q**2 - 41*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*t, -5*y - 5*t + 2*t = -62. Suppose y = -0*c + 5*c. List the prime factors of ((-24)\/42)\/(c\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9746 is divided by 171?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(3*4\/(-6)). Let t = 426 + -424. Suppose n - 1122 = 3*f, -t*n + b*f + 2233 = 5*f. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*9*(-7)\/189?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3161, -12624, -28393, -50462, -78825, -113476, -154409?\nAnswer: -201618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/50*(-30)\/(-4))\/(9\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 7*u**2 - 25*u + 7. Let y be z(8). Are -129 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 9, s: 4, e: 1}. Give prob of picking 1 a and 1 s.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:53 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -47360 (base 13) to base 9\nAnswer: -217545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19a - 5?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392813439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -87, -117, -163, -231, -327, -457?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 o, and 1 j when three letters picked without replacement from ojjjjqoqzzjjfjejf?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30959689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 13 = z + 5*u, 4*u + 35 = 5*z. Solve -6*w + 3 = z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(25)\/sqrt(5))**2 + 5 - sqrt(5)) + sqrt(50)\/(sqrt(10)*-3) + 3*(sqrt(5) + sqrt(45)*2)*6.\nAnswer: 25 + 374*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*q**4 - 1\/5*q**3 + 0*q**2 - 1\/5*q**5 + 0*q + 0.\nAnswer: -q**3*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 988 and 832?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.4, -13, -0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 6*j**2 - j - 20. Let x(s) = s**2 - 4. Give 2*c(r) - 11*x(r).\nAnswer: -2*r**3 + r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 39?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/11, 3\/8, -84 in ascending order.\nAnswer: -84, 2\/11, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 5*a - 2. Suppose 0 = -7*n + 239 + 153. Let i = 50 - n. Calculate c(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.59 + 1.364. Let c = s - 1.96423. What is c rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 32*i - 19*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86076936, 86076935, 86076934?\n\"Answer: -o + 86076937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -531363510 to the nearest one million.\nAnswer: -531000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4137 divided by 5\nAnswer: 4137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1608 - 1143. Let f be q\/(-10)*8\/(-6). Let g = -23 + f. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + -2 + -3 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 0.1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5273255 is divided by 1597?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 492 - 243 = 15 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 14*t = 17999 - 17915 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22297 and 129481?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -30. Let y = -13 - c. Suppose 3*d - 8*d = -y. Solve 0 = -2*j + d*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -5, 14, -48 in decreasing order.\nAnswer: 14, -5, -48, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**7\/60 - p**6\/20 + p**5\/5 + p**4\/3 + p**3\/3 + 2*p. Let d(i) be the second derivative of c(i). Factor d(j).\nAnswer: -2*(j - 1)*(j + 2)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1916294080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h + 0*h)*(14 - 7 - 2*h - 2).\nAnswer: -4*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/30)\/((-2)\/25). Calculate the greatest common factor of 30 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -96*w - 1022. Give v(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246 + 368. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 2, t: 3, y: 1, u: 2, d: 4}. What is prob of sequence dk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*n + 13*n - 12*n + 76*n as r*n + s and give r.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**2 + 1\/12*n**4 + 0*n**3 + 0 - 4*n. Let g(z) = 6*z. What is b(g(c))?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10623040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 631457000 to the nearest 1000000.\nAnswer: 631000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17244 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1024 + -1020. Let o(y) = -2*y - 6. Let d be o(-4). Solve d*p - t = 4*g, -5*g + g - 4 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(45\/5 - 7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 2. Let w(b) = -8*b**3 - 10*b**2 - 2*b + 3. Let c(p) = 5*p**3 + 6*p**2 + p - 2. Let i(t) = -5*c(t) - 3*w(t). What is 2*i(k) - z(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2\/1095, -3 in decreasing order.\nAnswer: 2\/9, 2\/1095, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4\/7*y**2 - 6\/7*y**3 + 0*y**4 + 2\/7*y**5 + 0 + 0*y = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 8:47 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1899995 + 0.19. Round d to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, 6, 2\/9 in descending order.\nAnswer: 6, 2\/9, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 197\/345 - -2\/69. Which is the third biggest value? (a) 0.2 (b) 2 (c) -1\/3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:36 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10866, -9982, -9084, -8166, -7222, -6246, -5232?\nAnswer: -4174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-1)\/6*-1. Let h(q) = -10*q + j*q + 6*q + 3*q + 1. Calculate h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9}. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5 - 17. List the prime factors of (-248)\/x + (-4)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.81 - 0.01. Let w = b + -1.45. What is w rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 61, 138, 247, 388?\n\"Answer: 16*s**2 - 3*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3601 by 1.\nAnswer: 3601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {g: 2, h: 2, v: 8}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-36)\/(-9) - (-26)\/(-10). Let h = 3 - 3.5. Let v = -1 + 6. Which is the smallest value? (a) h (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14080 + 14105. Let f be 2 + 5\/(70\/(-24)). What is the third biggest value in f, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*q - 6. Let u = 10 + q. Let d = -1.3 - -1. What is the second smallest value in d, u, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f**2 - 3*f**2 + 16 + 0*f + 13*f**2 - 5*f. Let w be m(-6). Solve -j = 4*j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-6 + -2) - (-6)\/(-4). Which is the nearest to 0.1? (a) -0.1 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030592 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 3, k: 2, b: 3, n: 1}. What is prob of sequence hqb?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 18\/11, 3, -0.5, -45\/7 in decreasing order.\nAnswer: 3, 18\/11, 0.05, -0.5, -45\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47723 divided by 3671.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100100010010110001 (base 2) to base 16\nAnswer: -244b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66678 is divided by 1093.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**2 - 49*u**2 - 43*u**2 - 56*u**2)*(-u - 3*u**2 + 0*u + 3*u).\nAnswer: 465*u**4 - 310*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x - n + 1229, 2*x - 2*n = 2438. Suppose -1238 = -3*b - 2*r - 321, 0 = -4*b - 3*r + x. Let l = b - 146. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763489227.74 take away -9683?\nAnswer: 763498910.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2288504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145 + 140. Suppose -4*t + 6*t = -2*k, -2*t - 3*k - 3 = 0. What is the nearest to 0.1 in l, 1\/4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 4*p + 4. Determine z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 28*l = -40. Let p be (-4*7\/(-10))\/(l\/(-20)). Sort p, 0.2, 3 in decreasing order.\nAnswer: p, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-108)\/702) + 1*(-42 + 1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41404 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*v**3\/2 + 36*v**2 - 27*v\/2 - 3.\nAnswer: -3*(v - 1)**2*(13*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from nsys?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2225 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*b**2 + 46*b - 46*b to v*b**2 + i + c*b and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -3. Let c be (h\/(-3))\/(2\/12). Suppose -20 = x + c*q, x + 0*x + 3*q + 16 = 0. Sort x, 3, 4 in increasing order.\nAnswer: x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136012 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/10 + (-34)\/(-10). Suppose t*d + 838111 - 3318111 = 0. What is d rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2023 - -1?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -1325)\/(-2 + 1). Suppose -n = -8*l + 6*l. Suppose f = -f + l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696460811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2108737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujs when three letters picked without replacement from {s: 1, t: 6, j: 1, u: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -77, -133, -205, -299, -421, -577?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2510100 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 278, 418, 686, 1124, 1774?\nAnswer: 2678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*p - 14 = 0, 5*p - 194 + 204 = 0. Calculate the highest common divisor of d and 125.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 8*i**2 + 25*i - 11. Calculate q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.682347kg in grams?\nAnswer: 5682.347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -57039670 divided by -121361?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kksa when four letters picked without replacement from {a: 4, s: 1, k: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 - 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(363) + -1) - sqrt(363))*-3 + sqrt(363) + (sqrt(363) - (sqrt(363) + 0)*1 - sqrt(363)) + 3 + -4)**2.\nAnswer: -5610*sqrt(3) + 81964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -30.39.\nAnswer: -30.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 26105390*i - 52210800.\nAnswer: 5*(i - 2)*(i + 5221080)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -289 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 326 + -309. Suppose -m = -x + 22. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.17, -2, -1.\nAnswer: -2, -1, 0, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6774, 6771, 6768?\n\"Answer: -3*g + 6777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69 - (-4 + -30)) + 23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 1:12 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20 = 4*k - 2*j, -23 = k + 5*j. Suppose 0 + 34 = -3*s + k*t, -28 = 2*s + 4*t. Let w(m) = -5*m - 3. What is the tens digit of w(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*m + 852. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -27*s**3 - 4*s**2 + 6. Let w be g(-3). What is the second derivative of -348 + 37*q**2 + w - 350 + 5*q wrt q?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 14 = z, -5*z - 10 = -205*u + 210*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -82\/11 (b) 6\/139 (c) 2\/11 (d) 19 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**19*t)*t*t\/(t*t**(-3\/2)))**(-33) assuming t is positive.\nAnswer: t**(1089\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -52*f - 115. Let x(m) = -9*m + 57. Let u be x(6). Let o(n) = -52*n - 122. Let s(i) = u*o(i) - 4*y(i). Differentiate s(w) with respect to w.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69846703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*y = 6, -t - 3*t - 12 = -4*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 32 = 4*d + 104, 95*z + 0 - 56 = 41*z + 50*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 2*v**2 + v - 8 - 13)*(-4 - 3 + 4) + (-3*v**2 - 4*v**2 + 9*v**2)*(-2 - 4 + 4).\nAnswer: 2*v**2 - 3*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let z(r) = 12*r + 8. Let a(i) = 6*u(i) - z(i). Let p(j) = 19*j + 23. Let y(h) = -8*a(h) - 3*p(h). Differentiate y(m) wrt m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g - 2. Let v be (-4)\/6*(-30)\/4. Let a = 3 - v. Let z be q(a). Solve 5*l + 4*f - z = 22, -f + 1 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 664 - 659. Suppose 2*z + 3*v = 4*z - 60, 2*z = -5*v + 28. Let t = z + -73\/3. Which is the closest to 1? (a) t (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45694396 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 10*v - 33*v + 24*v)*(-3 + 3 + v**2 + (-2*v + 1 - 1)*(0*v + 3*v - 2*v) - 1 - 2*v**2 + 1) in the form a + b*v**2 + x*v**3 + t*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205 + -404. Let b = -232 - q. Is b greater than or equal to -131\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123848 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 11) to base 14\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 18, i: 1}. What is prob of sequence xxx?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.62 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 18 = 9*c. Suppose -5*f + c = -32. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.46 + -8.46. Let m = -7 - q. Let f = 52 + -51.5. Which is the nearest to 8? (a) m (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(2*(-4)\/20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6754 is divided by 2231.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times -9543?\nAnswer: -2194.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10674 by -62067.\nAnswer: -3558\/20689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 4\/372853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s**2 + 20*s - 27. Let q(p) = 5*p**2 + p - 2. What is k(i) - 2*q(i)?\nAnswer: -i**2 + 18*i - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - -36.95. Let s = -33 + g. Let r = s + -4.005. What is r rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, -122 in descending order.\nAnswer: 4, 3, 0, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -545325 by 109065.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/894)\/((-289)\/((-358938)\/1035))?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 4. Let p be a(0). Suppose p*d + 22664475 = 5*s, 4808863 = s - d + 275967. Let m = 732891 - s. Round m to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 7 - 3*j**3 + 4*j**3)*(-13*j**2 + 51 - 51).\nAnswer: -13*j**5 - 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewc when three letters picked without replacement from cczrezczzrdredrrrwrr?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04577 rounded to 3 dps?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 8*f - 6. Let v(r) = -16*r + 5. Let k(g) = 3*g - 1. Let l(w) = 11*k(w) + 2*v(w). Let c be l(-6). What is the units digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -465 less than or equal to -500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from vvavcvc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.066 * 0.6\nAnswer: 0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 14 + 2*m**2 + (3*m - 2*m + m)*(33*m + 231 - 231).\nAnswer: 68*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**2 - 32*o**2 + 20*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/24*5)\/(20*(-9)\/1944)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 2, 0.4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.7 - 679972?\nAnswer: -680046.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -65, -70, -77?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from ovkvk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 14 = 4*y, y - 15715*b + 15710*b - 165 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*t**5 - t**4 + 2450*t**3 - 176*t**2 + 77810?\nAnswer: 3600*t**2 - 24*t + 14700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232303 (base 4) in base 5?\nAnswer: -324222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4, -75304 in ascending order.\nAnswer: -75304, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*c + 3*h - 31, -2*c - 1 = h. Sort 0.6, c, 0 in descending order.\nAnswer: 0.6, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + k**2 + k. Let l(v) = 331*v**4 - 5*v**3 - 5*v**2 + 143*v. Let j(w) = l(w) + 5*s(w). What is the second derivative of j(f) wrt f?\nAnswer: 3972*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 - 2*n - 1. Let y(l) = 5*l**2 - 3*l. Let k(g) = 6*c(g) - 5*y(g). Let d be k(3). Is 5 + d - 0 - -1694 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 469 = 10. Solve r - 8 = 5*h + 18, -2*r = -5*h - t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shhsbb. What is prob of sequence bh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 25. Solve p*q + 2*q = -20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171334 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1573 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/5 + 61*d**4\/5 + 898*d**3\/5 - 1022*d**2\/5 - 899*d\/5 + 961\/5 = 0.\nAnswer: -31, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 41. What is the second smallest value in t, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 3*c + 2. Suppose 4*x = -7 + 35. Suppose x*s - 3*s = 8. Determine w(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*x - 5*x. Let f = 27 + x. Let h be 22\/8 + (-2)\/(-8). What is the highest common factor of h and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001798 to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - (2 - (14 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1278, -685, -86, 519, 1130, 1747, 2370?\n\"Answer: 3*t**2 + 584*t - 1865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3121230 + -11?\nAnswer: 3121213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/9 - 2)*(4 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/3 - 5*d**2\/2 - 3*d. Let g be i(-3). Let u = g - -1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381198144 divided by 4.\nAnswer: -95299536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96343*d**2 + 2*d + 34300?\nAnswer: 192686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -2*v - 13\/12*v**4 + 1\/2*v**2 + 5\/3*v**3 - 30 - 1\/5*v**5. What is the second derivative of k(n) wrt n?\nAnswer: -24*n - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/943 and 6\/82*(7\/((-105)\/(-145)))\/7.\nAnswer: 6601","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/6*(-2 - 13). Let i = o - -54. Let a be (252 + 16\/i)*-125*2. What is a rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172985 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 789 = 769 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-93)\/(-24) - 4) + 5605\/40 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 7) + (-8 + 1 + 11 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-65)\/(-20))\/(-3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -16*g**2 - 245 - 5*g**5 - 490*g**3 + 255*g**4 + 9410*g + 6*g**2 - 8915*g = 0.\nAnswer: -1, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 2*g. Suppose -5*h + 9 - 53 = 4*d, 72 = -4*d + 2*h. Let z = 18 + d. Give p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((1 - 1) + -4 - (-1469 - -1459)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17072\/1164*371\/(-583)*36\/(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2573888.5 times -4\nAnswer: 10295554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5293*q + 5373*q + 3040 = 0 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 1 + 9 = 0. Let i be ((-10)\/(-4))\/(g\/2). Let z(a) = 8*a - 16. What is the lowest common multiple of z(i) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*z - 52*c + 48*c, 5*c = -3*z - 33 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**5\/20 - 2*v**4\/3 + v**3\/6 - 2*v**2 - 5*v. Let n be t(8). Let 7*r - n*r + 4*r**2 + 5*r = 0. Calculate r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 4*k**2 + 18*k - 31. Give j(6).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2838 and 2064?\nAnswer: 22704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 3, -6 in descending order.\nAnswer: 4, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1\/9, -2\/3, -0.42?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, f: 1, b: 6, h: 5}. What is prob of sequence tbf?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -585746.2 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572525 is divided by 306?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 + (0 - (-136)\/40). Let z be 18\/p + -24 + 25. What is the greatest common divisor of 224 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1147 + 1995. Is p a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -41 (c) -0.6 (d) 14 (e) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8741199.9787 + 8740811. Let u = x - -389. Round u to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 4. Let d be b(-3). Suppose 2 = -4*f - d*h - 0*h, 2*h = -2*f. Let u be -1*(-4 + f\/2). Solve 4*p + 3 = u*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-62)*-6)\/(((-3483)\/(-162))\/(-43))\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14208 * 13359.\nAnswer: 189804672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15013, 29725, 44433, 59137?\n\"Answer: -2*d**2 + 14718*d + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 9*i + 1299. Give h(41).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuaaxkxaaxkxxxax. Give prob of sequence ku.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/3)\/(8\/(-40)). Suppose -v - 2*y = -4*v + 7, n*y = -2*v + 11. Suppose -125 = -v*t + 31. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t + 37*t - 27*t + 15*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let o(k) be the second derivative of k**3\/6 + 839*k. Calculate 4*o(f) + w(f).\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5141*m**2 - m - 2*m - 2*m + 3*m.\nAnswer: 5141*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17688.01 + -17350. Let p = m + -0.01. Let v = 354.1 - p. Round v to zero decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p - 60 = 0. Let g(d) = -2*d**3 - 21*d**2 - 28*d + 1. Let z be g(-9). What are the prime factors of (2 + 4)\/(p\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*x**3 - 169*x**3 - 77*x**3.\nAnswer: -482*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -25. Let u(x) be the second derivative of 0 + 0*x**o - x + 0*x**5 - 1\/30*x**6 + 1\/2*x**2 + 0*x**4. Find the first derivative of u(v) wrt v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. What is the derivative of -w*z - 6 + 2*z + 8*z**2 - 2*z**2 wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1266402, 2532821, 3799242, 5065665?\n\"Answer: t**2 + 1266416*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1)*q**(2\/11)*q)\/(q**(-1\/5)*(q**(3\/5)*q)\/q*q))\/((q**(-1\/2)*q)\/q**2*q**(1\/4)\/q**7) assuming q is positive.\nAnswer: q**(1767\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16056 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 3*z**2 - 3*z - 3. What is p(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5 = -5*u. Let p = 9 + -4. Let s(m) = -m**3 + 3*m**2 + 4*m - 2. Let x be s(4). Sort u, x, p in descending order.\nAnswer: p, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2535175 and 80615.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 190.883 + -189.8. Let m = -0.083 + g. Which is the fourth biggest value? (a) 0 (b) m (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71226 - -4?\nAnswer: -71222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -5, 137 in ascending order.\nAnswer: -39, -5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 266517264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 10*i + 36 = 0. Suppose -u + 4*p = i, 0 = 3*u + 2*p + 2*p + 172. Let l = -43 - u. Calculate the remainder when 44 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 127*g**4\/12 + g**3 + 149*g**2 + 2*g + 148. Differentiate j(v) wrt v.\nAnswer: 254*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 226\/4 - (-5)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 1018.9.\nAnswer: 1018.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - 5. Let x = o - -75\/7. Which is the nearest to 2\/5? (a) -2 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -27*h**3 - 33*h**2 + 12*h. Let m(l) = -l**3 - l**2 + l. Let w(q) = -18*m(q) + n(q). Find y such that w(y) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179 - 165. Which is the closest to 0.1? (a) g (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1248 divided by 48.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.436207 to 3 decimal places.\nAnswer: -0.436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**3 + 14*q**2 - 2*q - 2. Let z(s) = 11*s**3 + 43*s**2 - 7*s - 7. Let f(k) = -7*y(k) + 2*z(k). What is the third derivative of f(w) wrt w?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*n + 30, -3*l - n = -7 - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b - 52. Let g(l) be the third derivative of l**4\/12 + 17*l**3\/6 + 506*l**2. Calculate 11*g(o) + 4*x(o).\nAnswer: 2*o - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 4 + -5*3\/3. Let w = -2.7 - -3. Which is the nearest to -0.2? (a) i (b) w (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65496 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7709121*w**2 - 304505*w - 9.\nAnswer: 15418242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 3*p - p. Let f = p - -14. Let r(y) = -6*y - 6. Let c(i) = -1 + 4*i - i - 4*i. Give f*c(x) + 2*r(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2250, 0 in descending order.\nAnswer: 2250, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-4) + -3 + 4)*-1. Calculate the common denominator of 67\/16 and 364\/(-21) - w*4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5 - 8. Solve 1 = a - 2*q, 0 = -f*a + q + 4 + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28177732 is divided by 257?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-5)*(-1)\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-4)\/(-2)))\/((-80)\/(-1360)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 526\/179, -0.4, -1.\nAnswer: -1, -0.4, 526\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 - -70.4. Let h = -7.2 - k. Which is the nearest to 1? (a) -2 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/780 and -109\/300.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -14 - 51. Calculate the common denominator of -41\/400 and (-82)\/20 + j + -17.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 7:27 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002001212 + 1?\nAnswer: 2002001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -107, -73, 9, 133, 293?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (-5 + (sqrt(180) + 2*sqrt(180))**2)*1).\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/33 and 37\/207?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018*-25240.7.\nAnswer: -454.3326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 4*q + 7. Let j be k(6). Let m = 9 + j. Suppose 3 = -2*c - 5, 0 = m*l + c - 52. Is l 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 -23\/45 and 169\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1872) + (-1 + sqrt(1872))**2) + (4*(-2 + sqrt(1872)))**2 + 2.\nAnswer: -696*sqrt(13) + 18780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - 4829a6?\nAnswer: -482989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -20. Suppose 64 = -2*h - 2*i, 3*h + k*h = -2*i - 96. Let w = h - -70. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -140752943 and -921089?\nAnswer: 139831854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 14*h + 23. Let y be b(-2). Let r(m) = m**3 - 4*m**2 - 5*m + 3. Let s be r(5). Calculate the greatest common divisor of y and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*n - 64989 + 6259 = -1790. Calculate the least common multiple of 40 and n.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 4*m - 1. Let x be c(3). Let t be 2\/x - 13\/(-5). What is the first derivative of 4 + 0 - 4*y**4 - t + 0*y**4 wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*o**2*r + 99405402*o**2 + 720*o*r**2 + 38*o*r - r wrt r?\nAnswer: -18*o**2 + 1440*o*r + 38*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14505120 rounded to the nearest one hundred thousand?\nAnswer: -14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42369944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 379723, 759442, 1139161, 1518880?\n\"Answer: 379719*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-42)\/7 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 + 5)*4\/6. Suppose -7*y = -y - s. Solve -y*k - 2*j + 20 = 2*k, k - 2*j = -5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 801*i**3 - i**2 - i + 2. Let j be n(1). Calculate the common denominator of (3 - j\/(-66))\/(-6) and ((-10)\/8)\/((-25)\/510).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-7) - 5\/(-9 + 4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-51417)\/696 - -69)*4*22\/(-1836) and 179\/3060.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2542)\/1800 - (-310)\/248 and 111\/1700?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 242.7 + -243.1. What is the nearest to 1\/4 in d, -29, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/7)\/u)\/(u**(-3\/4)\/u)*u\/(u*((u**(-1\/14)\/u)\/u)\/u)*u\/(u*u*u**(4\/15)) assuming u is positive.\nAnswer: u**(1373\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {m: 3, e: 1, b: 2, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 939 and 3756?\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 10 = 7*x. Let a be -1*x\/12 - 842\/8. Let t = a + 261. Is t a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 19*m**2 - m - 19. Let v be u(-19). Let f be (-2)\/9 + (-38)\/(-9). Let n be (1 + 0)*(-1 + f). Solve v = -r + n*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000959585 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 15 - 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 8. Let z be t(0). Let d be (-4 + 1)*z\/24. Is (-2 + d)\/(8\/(-5480)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(63)*3 + -4 + (sqrt(70)\/sqrt(1000) - (3*sqrt(847) + sqrt(847))))**2.\nAnswer: 316*sqrt(7)\/5 + 45287\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 970 and 30?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*d**2 + 118*d**2 + 11 + 47*d**2 - 11 - d**3.\nAnswer: -d**3 + 36*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 5*m**2 + m - 6. Let k = 7 + -2. Let n be r(k). What is the units digit of (-1)\/2*(n - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0. Let z = -27 + 29.9. Let j = 2.5 - z. Which is the second smallest value? (a) 2\/3 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:56 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - w**2 + 11. Let g be o(0). Suppose -g*v = -16*v. Suppose v = -b + 23 + 9. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/5 (b) 8 (c) 8\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(176) + (sqrt(176) + -2)*3 + 2*sqrt(176)*-1 - (3 + -1*sqrt(176) + -4)))*-2)**2.\nAnswer: -288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 157319780 and 1160?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6898, -27514, -61858, -109930, -171730, -247258?\nAnswer: -336514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3300\/(-175) - -19)*6\/(-3). Are 1\/1552 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 339139, 678305, 1017471?\n\"Answer: 339166*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 3*a + 12 - 5 + 8*a.\nAnswer: 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -22*i - 520. Let x be h(-25). What is the greatest common factor of 2865 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 70, -75764 in descending order.\nAnswer: 70, 2, -5, -75764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 4*r, 5*r = -10*x + 5*x + 5. Determine c, given that x + 6*c**3 + 4\/3*c - 10\/3*c**4 + 2\/3*c**5 - 14\/3*c**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-26)*c)**46*c**(-43)*c**(5\/4))**(16\/3) assuming c is positive.\nAnswer: c**(-6356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 52 = -5*j. Suppose 2*s = -2*n - 26, 5*n + 0*n + s + 53 = 0. Let r = n - j. Solve -2*g = 4*y + 10, -y + r*y + 4*g = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1238 - -2253. List the prime factors of m\/56 + -8 + (-1)\/8.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2885*b**2 + 360531 - 360531.\nAnswer: -2885*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0, -174, 43, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 19802 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 26*r + 340 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 85*n - 2. Let d(f) = -14*f**3 - f**2 + f - 1. Let j be d(1). Let m be j\/(-20) - (-1)\/4. Is v(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/30 and -23\/19900732?\nAnswer: 298510980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1643, 3284, 4913, 6524, 8111?\nAnswer: 9668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-11\/6)))\/(a\/a**6) assuming a is positive.\nAnswer: a**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(36)*5 + sqrt(9)))\/(sqrt(10)\/(sqrt(35)\/sqrt(7))*2).\nAnswer: sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 381.6 + -381.7. Suppose -2*z + 3*p - 16 = 0, -2*z - 3*p - 3 = -11. What is the closest to l in z, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v + 1. Let s(i) = -2*i + 4. Let k be s(-2). Suppose 0 = -4*o - k, 39 + 54 = 3*t - 3*o. What is the remainder when h(-6) is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2046 + -43.2046. Let w = -4.7 + 0.7. Sort w, o, 0.\nAnswer: o, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + b - 3. Let l be m(7). Suppose 5*v - 44 - l = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 5867.\nAnswer: -162\/5867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {g: 2, q: 4, o: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u - i = -7720, 0 = -u + 2*i + 1921. Suppose -2*b + u = -0*b - z, -4*b + 3853 = -3*z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1 + (-3 - 3 + 7)*(-2 + 2 + 1) - 1 + 0 + 0 + 1 + 0 + 1 + 2 - 3 + 0 + 1 + 1 - 6 - 3 + 0 + 1)*(-2 + y + 2).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -19, -0.5 in increasing order.\nAnswer: -19, -0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p - 80*p - 26 + 19 + 7 + 66*p.\nAnswer: -45*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**5 - 1445*s**4 - 4305*s**3 - 4295*s**2 - 1430*s = 0.\nAnswer: -286, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 6:04 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2751 in -0.4, 2\/71, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -199) + 0 + 2. Suppose 5*j = h + 380, -3*h = -2*j + q - 50. What is the tens digit of j\/3*6\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5)*(-83 - (-13041)\/162))\/((-6)\/(-376))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253434120 divided by 4920.\nAnswer: 51511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34285523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-40)*(20 + 930\/(-45)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otojkkozozzkjjkkkkto. Give prob of sequence zj.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/7, -0.4, -1\/6, -2\/91, -2?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**4 + 7*a**4 + 7*a**4)*(2 + 2 - 2)*(-2 - 2*a + 2) - 2*a**5 - 396*a**2 - 521*a**2 + 603*a**2.\nAnswer: -34*a**5 - 314*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 10*q + 28. Determine m(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334050.\nAnswer: 2, 3, 5, 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72058 is divided by 136.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 16747 = 133013. What is n rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 4:51 PM?\nAnswer: 383","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + 9 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 108843*h - 108842*h + 5*z, -5*z = h - z - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(4 + 1*sqrt(500)*1*-1) + -3)**2.\nAnswer: -2300*sqrt(5) + 13029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2573.9 + -2573.97. Put p, -0.04, -11\/5 in decreasing order.\nAnswer: -0.04, p, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2203*r**2 - 2229*r + 4. Give x(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11841 + 4291 = -25*i. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/12)\/(70\/(-60)*11\/(77\/2)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50009 - 18888. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*w**2 + 14 + w**2 + 0*w**2 - 5*w**2 wrt w?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 665*l + 675*l - 1339*l + 2 - 2*l**2 + l**4 + l**3 in the form g*l**2 + o*l + v*l**3 + k + t*l**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224\/5 - 4\/5*n**2 + 8*n = 0 for n.\nAnswer: -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136881 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + -501?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -143 * 23\nAnswer: -3289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let z(x) = -12*x - 51. Let o(d) = d + 4. Let h(i) = -27*o(i) - 2*z(i). Let c(n) = -n - 2. Determine k*h(p) - 7*c(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -215011 * 1123.\nAnswer: -241457353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 3*z**2 + z - 2. Let r be p(2). Suppose -2*i - r = -3*i. Let s be (-2)\/4 + 2\/i. Solve s = d + 5*g, 2*d - 2*g = -3 - 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 3*d**2 + 8*d - 5. Let o(n) = 5*n**3 - 14*n**2 - 40*n + 24. Let x(y) = 2*o(y) + 11*z(y). Let f be x(6). Is f equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113022698.\nAnswer: 2, 17, 195541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - 25\/(-2). Suppose -4*j = 7*p - s*p - 23, -3*j - 6 = 4*p. Suppose -4*r = -t - 8*r - 13, j*t + 10 = -4*r. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44180 divided by 11045?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 3*q**2 + 13*q - 2. Let i be o(-3). Let g be -1 + (-1 - -2) - 0\/i. Solve 5*x + 3 = 4*s + 5, g = -3*x - 3*s + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(-13)\/((-2340)\/81)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 2. Suppose t + p = 3*t. Let u(z) = z + 4 + 6*z - 5*z - 7. What is u(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by 4?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-52 - 1)*2\/(-3). Let z = 35 - k. Let x = -8 - -3. Which is the nearest to z? (a) 2 (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 14. Suppose 0 = 4*s - 5*s - g. Suppose -3*b - 28 = b + 4*r, 4*b + 7 = 3*r. Sort s, -7, b in descending order.\nAnswer: s, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**2 - 2*l**2 + 24*l**2 + 7*l**2 + 17*l**2 + 11*l in the form w*l + s*l**2 + i and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/10 and -29\/19.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*n = -34, 2214914*f - 2214913*f = -5*n + 7 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 4. Let c(z) = z**2 + 5*z - 4. Let m be c(-3). Let d be 88\/(-20) + (-4)\/m. Calculate the remainder when i(d) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.385951 rounded to four decimal places?\nAnswer: 0.386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.1. Let n be (-5)\/(-3) + (1 - 2). What is the third smallest value in n, 7, z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5964 divided by 6.\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -577*i. Let s(x) = -1155*x. Calculate -4*s(t) + 9*z(t).\nAnswer: -573*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21165 - 2600?\nAnswer: -24065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1491*a + 802*a - 1911*a = -101400 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 20*v - 62. Let j be s(4). Find the second derivative of -94*o**j - 45 + o + 141 - 54 - 47 wrt o.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8613 >= -8612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.149 + 87.851. Let f = 87.7 - m. What is the biggest value in f, 18, -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11562 - -11560.4462. Let l = -4.44588 + s. Let f = l - -6. Round f to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/4)\/((-2)\/(-4)). Let k be ((-56)\/(-35))\/((-2)\/u). Solve t - 9 = -k*j, -j - 2*t = 3*t - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 311*u**2*v - 4381*u**2 - 4*u*v - 3*v + 4270745 wrt u?\nAnswer: 622*u*v - 8762*u - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 364.0974 + 4.7726. Round b to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + t - 6 = 0, 2*t - 134 = 2*m - 140 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 599009.4 + -599013.099931. Let i = m - -3.7. What is i rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 55 + 45. Is 10 a factor of x*((-32)\/(-10) - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 297599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from geboppbgggppggofgp?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10176627 is divided by 498?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*s**5 - 369*s**4 + 11*s**3 - 1326*s**2 + 4350.\nAnswer: -600*s**2 - 8856*s + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/20 + p**3\/6 - p. Let u be (-2 - (3 - 5)) + -3. Let w(o) = -o - 4. Let m be w(u). What is r(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.5, 0.5, -5, 14, -244?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 23 + 79 = 0. Let a be ((-4)\/(-8) + 0)*t. Let o(y) = 2*y**3 - 13*y**2 + y + 7. List the prime factors of o(a).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 + 3*f + 3. Suppose 3*h - h - 2 = 0. Let z(n) be the first derivative of -n**4\/4 - n**2\/2 - n + 11749. Give h*k(v) + 3*z(v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 10:26 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 5. Let n be j(-5). Let w = n - -23. Suppose 136*v - 53423 = -161*v - 19565. Calculate the highest common factor of w and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -4\/5 (c) -0.5 (d) -2 (e) -4.565 (f) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.127823 to four dps.\nAnswer: 0.1278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71\/4286718 or -1?\nAnswer: -71\/4286718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (311 + 166 + 166)*(2*a - 3 + 3).\nAnswer: 1286*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -248732*w**2 - 27*w - 3*w + 248727*w**2 in the form f + v*w + h*w**2 and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5357, 10643, 15851, 20981, 26033, 31007, 35903?\nAnswer: 40721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/(-6) + 10)\/3. Sort g, 1, 0.\nAnswer: 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 24 + 3 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 - 78*z - 470. Give h(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 15*l**2 + 5*l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 + -1344410?\nAnswer: -1400034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1269, -1272, -1277, -1284, -1293, -1304, -1317?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 110.3, 21, -0.5, 0.2, 0.6?\nAnswer: 110.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -12 (c) 2 (d) 0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 78130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t + 14 + 12. Suppose 3*j = -b - 15 + 56, 0 = t*b + 4*j - 82. Round b to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z - 2*z**2 - 20 + 2\/3*z**3. What is w(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 297, 285, 273, 261?\n\"Answer: -12*z + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 3) + 4 + -1. Suppose -76 + 426 = c*z. Suppose 7*v = 2*v + z. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 44*o - 6. Let s(q) = -22*q + 3. Let a(b) = 7*s(b) + 3*z(b). Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 112 = -3*q. Let l(d) = -d**3 + 5*d**2 - 4. Let y be l(4). Let b = y + -4. What is the remainder when q is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -100, -117, -116, -91?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 2*b - 3*b. Let g = -135 - b. Solve -4*z + g*z + 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = 4*l. Suppose -4*v = -l + 2. Let b be (-9)\/15*-1 - v. What is the closest to -0.3 in 1\/8, b, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8076082697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3560.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/8*(-28)\/(-10). What is the derivative of q + 2*y**3 - 2 - 1 wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.0285465 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuwuuxouywuoyuuuub. What is prob of picking 3 w?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -977, -2217, -3735, -5537, -7629, -10017?\n\"Answer: -y**3 - 133*y**2 - 834*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -41893 times 1.1\nAnswer: -46082.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3\/(-12) - (-3)\/(36\/411)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31807557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = u + x, 3*x - 45 = -39. Calculate the least common multiple of 230 and u.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a kilogram in grams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/60 + 7*x**4\/24 + x**3 - 16*x**2. Calculate u(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f + 68*f + 122*f)*(2*f**2 + f**2 + 11*f**2) as m*f**3 + d*f + r + j*f**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1600*t = 1598*t + 338. What is the remainder when t is divided by (-80)\/30*((1 - 0) + -28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 36*i**2 + 402*i + 306. What is y(8)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -51. Suppose -4*c = -r - 10. What is the tens digit of 15\/2*(4 - 8\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-20)\/8)*(1 - 3). Let h(d) = 0*d + d - 68*d**3 - 1 + 2. What is the units digit of h(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 2*p**2 - 3*p - 3. Suppose -4*g - 1 + 13 = 0. Let v be h(g). Let y be (12\/(-30))\/(2\/v). Round y to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 35*b**2 - 485*b - 149. Is m(102) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let f = 0.3 - 1.3. Let h = f - -0.5. Which is the nearest to o? (a) 4 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -7*v + 4*v + 6, -2 = -v - 2*g. Suppose -3*z = v*z - 70. Suppose 0 = z*y - 18*y + 32. Let a(f) = -f**3 + 9*f**2 - 7*f - 11. Calculate a(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 4. Let a(d) be the third derivative of d**3\/6 - 114087*d**2. Let s(h) = h**3 - 5*h**2 - 2*h - 2. Let f be s(5). Give f*a(y) - 3*k(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-300)*(-190)\/(-12).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 24*g**2 - 93*g - 4. Give f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1807 = -80*q - 687*q - 24271 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 446226 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 34. Let v = 5 - b. Let y be 0 - -2 - (1 - -3). What is the second biggest value in v, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11592830 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5380, -5382, -5384, -5386?\nAnswer: -5388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.27 - -0.27. Sort f, 1\/3, 0.4 in descending order.\nAnswer: 0.4, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o - 2660*o**3 + 21*o.\nAnswer: -2660*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + r**3 - r**3 + (-2 + 2 - 2*r**2)*(4 - 2 - 1)*((r + 3*r - 5*r)*(0 + 6 - 4) + 2*r + r - 5*r + r - r - 4*r).\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0 (c) 6703 (d) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + f - 3, -4*f - 3 = 5*s - 4*s. Solve 2*g = 0, w - 4 = -w - s*g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210191307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bppp when four letters picked without replacement from mbbmbpmblbm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 207*a + 215*a + 213*a - 4*a**2 - 635*a + 148 + 686*a**3 wrt a.\nAnswer: 4116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -u - 3. Suppose u*o = p, -5*o - 2*p = -3*o - 12. Let k be -3 + 3 + -1 - (-1 + o). Let d(v) = -22*v - 1. What is d(k)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 9*x**2 - 7*x - 2. Suppose 4*t = -8, -9*t = -5*o - 4*t - 140. What is the remainder when g(8) is divided by (4\/((-120)\/18))\/(9\/o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 628719 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c - 1. Let k be m(2). Let w = k - -19. Suppose -3*v - b + 45 = w, -b = -v - 6*b + 29. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 7*n**2 - 11*n - 16. Give v(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/4)\/((-9)\/(-90)). Suppose 0*k - 5*k + z = 0. Let u = 12 + -8. Which is the third biggest value? (a) u (b) 5\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*u - 2*v, 30599*u = 30594*u + 4*v - 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -31070.\nAnswer: 155350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33261504 divided by 6112?\nAnswer: -5442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475549440 - 951098900 - 2*i + 475549460 + i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -490, -984, -1476, -1966?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.055 and 0.05988.\nAnswer: -0.0032934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 904 divide 142737045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -388\/1035415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 50*m - 298. Give h(-36).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*(2 - (5 - -3691)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**2 + 108900*p - 592960500 = 0 for p.\nAnswer: 10890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 25 = 121. Suppose -v*r + 2901 = -475. What are the prime factors of r?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-180))\/(4\/84)*3*-10?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, t: 5}. Give prob of picking 1 t and 1 o.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a714f3 - 0?\nAnswer: a714f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -85531.6?\nAnswer: -85533.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 84, 124, 190, 288, 424, 604, 834?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*8\/(-112)*-7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 246*b**2 + 13*b + 50. Let m be h(-3). Let z be -1*401\/3*45. Let q = z + m. Round q to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 + 3*n + 1. Let k(o) = 6*o**2 + 7*o + 3. Calculate 4*k(t) - 9*q(t).\nAnswer: -3*t**2 + t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 37 - 20*d**2 - 80*d**2 + 83*d**2 to the form o*d + s + q*d**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2292 = 8*w. Let j = 2099\/11 + w. Let i = -6 + 6. Sort j, 2, i in descending order.\nAnswer: 2, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65734.94t?\nAnswer: 65734940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/3 - 29*c**4\/2 + 235*c**3\/3 - 413*c**2\/6 - 209*c - 140\/3 = 0 for c.\nAnswer: -1, -1\/4, 4, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/7697730 and 30\/2891.\nAnswer: 377188770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12192)\/288)\/(-2 + 321\/162) is divided by 209?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/2017259 and -20\/134977?\nAnswer: 147259907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2734a55 (base 11) to base 8.\nAnswer: 22004544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + y + 8, n + 3*y = -10. Suppose v + 25 = g, 74 - 32 = n*g - 4*v. Let h = 24 - g. Which is the closest to -2\/9? (a) -3 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbjxbj. What is prob of sequence bbr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6. Let u be (12 - 3) + (-21)\/7. Let k(v) = -v + 1. Calculate u*k(z) + i(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1*l*l**8*l*l\/l**(4\/3)*l*l**2*l assuming l is positive.\nAnswer: l**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146856367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1778*m - 2783*m - 2061*m in the form t + z*m and give z.\nAnswer: -3066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and 4.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s + 8*s - 660 = 10*s. Sort 0, s, -144 in descending order.\nAnswer: s, 0, -144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 13*p + 22. Let j(w) = w**2 + 4*w + 7. Determine j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 = 14. Suppose -u - 40 = -b*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = -25. Let n be 1*(0 - k) + -2. Suppose n*h + 15 = 0, -3*h = 2*j - 2*h - 155. What is the greatest common factor of 32 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 2 (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18.518 and -354304410?\nAnswer: 354304428.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 5 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*y**3 - 9*y**3 + 26*y**3 + 403*y - 6*y**3 to h + s*y + r*y**2 + f*y**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1093896188.81 and 0.071.\nAnswer: 1093896188.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5 = -4*s, -10*s - 4*f = -5*s - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-5 + 31\/5). Let p(r) be the second derivative of -r**5\/20 - r**4\/2 - r**3\/6 - r**2\/2 - 2*r. Determine p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14525?\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824996 is divided by 2037?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 8:25 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14403 + -2192. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 2 + 8*b + b - b. Is 19 a factor of c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*f**3*p**2 - b*f**3*p - 224*b*f**3*v + 3*b*f**2*v + 3*b*p**2*v - 2478*b*p**2 + f**3*p + f**3*v - v wrt p.\nAnswer: -2*b*f**3 + 6*b*v - 4956*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 20 + 18. Suppose -2*d + 17 = -z. Suppose 42 = f - d. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -2. Let l be -5*1*(s - -3). Let o be 2\/4*(-1 + 9). Which is greater: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2919583*n**3 + 3*n**2 + 144307 wrt n?\nAnswer: 17517498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 + (0*3\/(-6))\/(-1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12688119, 25376236, 38064353, 50752470?\n\"Answer: 12688117*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 5459795145 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9*h + 24 = 0. What is the second biggest value in -0.5, h, -0.3, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4526 - 4467. Which is smaller: w or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**4 + 246*f**3 - 262*f**2 + 1259*f - 45 wrt f.\nAnswer: -24*f**2 + 1476*f - 524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 21*c**2 - 25*c + 95. Let k be w(20). Let p = -5.2 - -2.4. Let b = 0.2 - p. Put 4, k, b in decreasing order.\nAnswer: 4, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s**2. Let k(y) be the third derivative of -y**4\/3 - 4*y**2 + 15*y. Calculate j(k(l)).\nAnswer: -704*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3 - d + 2*d)*(-1 + 3*d**2 - 5*d**2 - 7).\nAnswer: -4*d**3 + 6*d**2 - 16*d + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -421*o**5\/5 - 2*o**3\/3 - 186*o**2 + 429. Find the second derivative of t(z) wrt z.\nAnswer: -5052*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {b: 2, t: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5086, 11478, -2 in descending order.\nAnswer: 11478, 5086, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 3*c = -76, -4*u + 75 = -c + 35 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4767, -4765, -4763, -4761, -4759, -4757?\n\"Answer: 2*s - 4769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -2) + -2 - (6 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17521 divided by -5\nAnswer: 17521\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4 (b) -1\/3 (c) 5 (d) -48 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894*l = 231*l - 3927 - 5355 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 1 - 2*s**2 - 38367*s**4 + 38364*s**4 + 2*s**2 - s**3 as a*s**4 + l*s + g*s**2 + f*s**3 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -390, -2, 9 in descending order.\nAnswer: 9, 3, -2, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1023 - -1068. Solve 0 = -42*c + u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 4*y - 6*y)*(-13 - 19 + 2) + (1 + 1 - 1)*(-1 + y + 1) - 3*y + 2*y + 3*y + 33*y + 3*y - y to w*y + x and give w.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1584) + 4 - sqrt(1584)) + sqrt(1584))**2.\nAnswer: 96*sqrt(11) + 1601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-88)\/(0 + (-2)\/(-8)). Let o = -5185 - -4631. Let i = d - o. Does 31 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156 - 3*m + 86 - 6*m**3 + 8*m**3 + (-m**2 - 2*m**2 + 2*m**2)*(3*m - 3*m - m) to w*m**3 + i*m**2 + v + a*m and give v.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 10 + 5*s + s - 4*s. Let p be i(0). Let g = p + -11. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/7 - 1572292*g**3\/7 - 309009622050*g**2\/7 + 1236063645000*g\/7 = 0.\nAnswer: -393075, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.583. Let s = -0.02 + f. Round s to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -101251.\nAnswer: 58\/101251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 94*k**2 + 16*k + 35. Let o(i) = -31*i**2 - 5*i - 12. Let t(u) = -17*o(u) - 6*q(u). Let v be t(-5). Let b = 295 - v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by 32\nAnswer: 95\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 + -19 + 20 - (10 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2801?\nAnswer: -5\/2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 4:28 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 4. Let x be a(-7). Let k be (4*x*10)\/((-27)\/(-210)). Let m = -948 - k. Find the common denominator of -7\/3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(400)\/sqrt(2)))**2.\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Suppose 1 = -2*k + 5. Suppose -h + 9*m = 4*m - 31, -m = -4*h + 29. Let u be (14\/h - k)\/1. Does 0 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(187)*6)\/(-1*sqrt(1584) - sqrt(11)) - (-3*sqrt(119)*2)\/sqrt(7)*5)**2.\nAnswer: 2829888\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1209601988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6114 - 6111. Do 1074 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 0)**2 + sqrt(3) + 3.\nAnswer: sqrt(3) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 9*o**2 + 3*o**2 + 4 + 8*o**2 - 19*o**2. Let n be m(-4). Solve 4*p - n = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 2.997.\nAnswer: -14.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.88 less than 66.6?\nAnswer: 216.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1133 divided by 2\nAnswer: -1133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 3. Let w(g) = 18*g - 28. Let u(s) = -52*t(s) + 6*w(s). Let l be u(4). Solve l*a - 10 = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*l + 2772 = -9*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9914 (base 13) to base 3\nAnswer: 1002020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 14*l + 10. What is s(12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 524*d**2 + 364*d**3 - 522*d**2 - 145*d**3 - 28*d - 5 wrt d.\nAnswer: 1314*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:47 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 42 + 22 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175777765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2. Let s(f) be the first derivative of 1075*f**2\/2 + 8644. Give u(s(g)).\nAnswer: 2311250*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + sqrt(405)*3 + -1 + (sqrt(405) + sqrt(405) + sqrt(405) + -2 + sqrt(405) + -1 - (sqrt(405) - (-2 + sqrt(405))*6)))**2.\nAnswer: -3024*sqrt(5) + 58519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 89 = -h - 8, -2*h - x - 166 = 0. Let d = 126 + h. Suppose d = 4*j + 13. Solve 3*a - a = j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001918674003 to six dps.\nAnswer: -0.001919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179874 + 44608825\/248. Calculate the common denominator of -87\/124 and d.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34840 + 8961 = 212*z + 10729. What is the lowest common multiple of z and 168?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11181 is divided by 702?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223 + 76. Let f = 262 + t. Let x = f + -114.9999882. Round x to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198352069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 7*s + 11. Suppose -3 = -7*a + 6*a + 4*y, -4*a = -y + 3. Let k(r) = -6*r - 1. Let u be k(a). What is o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4161623 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/79 in -2, -699, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + ((-26)\/39 - 89\/24). Sort g, 2\/3, -1\/2 in decreasing order.\nAnswer: 2\/3, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 113. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/3 - 2. Which is the closest to m? (a) 0.03 (b) -0.4 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14139 and 969307.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*g + 4*h, 0 = -0*g + 4*g + 4*h + 40. Let i be (2\/g)\/(2\/(-14)). What are the prime factors of (17\/i)\/((-14)\/(-168))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114474817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5632 (base 15) to base 5\nAnswer: -1041042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21815?\nAnswer: 5, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34067308 and 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 + 30*t**2 - 72*t = 0. What is t?\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7969.071l?\nAnswer: 7969071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s - 54. Let r be w(10). Let z be r*(-4 + 0 + -5 + 5). Let f = 31 - 17. Which is bigger: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.48 and 0.4951539.\nAnswer: 0.237673872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 + 117080*u - 247*u**3 - 2100*u**3 + 0 - 117241*u wrt u?\nAnswer: -14082*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, h: 7, w: 3}. Give prob of picking 1 t and 1 w.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 8*i - 81 = q - 4*i, -56*q + 5*i + 1086 = 26*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 + 6*w + 6. Suppose -4*q + 0*z = -5*z - 13, 5*q = 3*z. Let k be j(q). Suppose 2*y - x = 2*x + k, 4*y - 2*x - 56 = 0. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 + u. Let q = 8 + -6. Let j be a(q). Let v be 0 + -1 - (6 + -14 - 2). What is the highest common factor of j and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1751 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.32, -119 in decreasing order.\nAnswer: 1\/2, -0.32, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2843 - 327. Suppose 4*b - t = 4*d, -2*d - 1863 = -3*b + 24. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -55.983. Let x = -0.216 + f. Round x to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -2*l + 4*s, 3*s = -15 + 3. Let u(m) = m**3 + 45*m**2 - 40*m + 285. What is the units digit of u(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -2*w**6\/15 + 37*w**5\/20 + 1213*w**3\/3 - 20*w**2 + 4*w + 2. Differentiate o(a) wrt a.\nAnswer: -48*a**2 + 222*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -244 in -1.8, 0.5, 411, 6?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6\/(-2)) + (-90)\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 471 = 1129. What is the least common multiple of 4 and p?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 11*o - 10. Let t be g(12). Suppose -h = -3*h + 4, -t*s + 5*h + 40 = 0. Suppose -5*m = -s + 15. Solve 0*p - 17 = -j - 3*p, j - 13 = -m*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*b - 8*b = -3835 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/f**(2\/5)*f*f**3*f**(2\/5)\/(f\/(f*f\/f**(-8))) assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y - 5*x = 97949980, 4*x = 3*y - 58769984. What is y rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6. Let m be (-2)\/(r\/(-3)*3). Suppose -n - 5*i = -2, -5*n - 10 + 20 = -i. Sort -5, n, m.\nAnswer: -5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)*6)\/(sqrt(40)*5).\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 16950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8205.461l in millilitres?\nAnswer: 8205461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 32480*g**3 - 79121280*g**2 + 85661972480*g - 34778760826880.\nAnswer: -5*(g - 1624)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/28*(-8)\/10.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 26. Suppose -243 = 13*h + 5*h - 783. Calculate the greatest common factor of h and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -53.686?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 285*p**2*y**3 - 5151*p**2*y - 63*p**2 + 4*p*y**3 - 69*p + 13885*y**3 + 2*y wrt p.\nAnswer: 570*y**3 - 10302*y - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 2*f - 5. Let b(s) = -s**2 - s + 1. Let q(i) = -3*b(i) - l(i). Let r be q(2). What is the highest common divisor of 30 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + ((-9)\/(-6) - 1). Let z = 0.06 - -0.94. Which is the closest to z? (a) -0.2 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (49\/7)\/(1\/3). Let v be (4*(-4)\/(-8) - -3)*1. Suppose 100 = 10*s - v*s. Are s and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-10) - 18\/(-45). Find the common denominator of -3*((-202)\/(-108) - m) and 83\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -101. Is -19 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 340 = -3*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 33. Let h = -19 + t. Suppose -5*n - 2*m = 9, 4*n - 4*m - 1 - 3 = h. Which is bigger: 3\/7 or n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaggaaaggaga. Give prob of picking 2 a.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7. Is y bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4659 (b) 24 (c) 1\/9 (d) 0.5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59313 divided by 19771.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104392465.\nAnswer: 5, 4127, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*g - 83, 3*g = -0*g + 2*b + 71. Let s(i) = 11*i - g*i + 13*i. Let c(a) = 25*a. Calculate s(c(m)).\nAnswer: 75*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from eqxxxxeqxxqqqxxee?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/4*-10)\/(98\/(-196)). Solve 2*m - r*a + 19 = 0, 5 = -5*a + 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:40 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Suppose -4*j - 21 = 7. What is a(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.1 (b) -1\/3 (c) -3 (d) -0.038 (e) 0.5 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/40)\/(14\/1624). Sort -5, x, 2\/9, -3\/2 in decreasing order.\nAnswer: x, 2\/9, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (0 - (-2 - -1)). Suppose -3 = -4*g + 5. Solve -3*w + g = l, -5*l = -3*l - q*w - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 - 4*t**2 + 94 as n*t + f*t**2 + c and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 87 - 13)*(237 - 237 - 13*c).\nAnswer: 1469*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**2 + 360*c - 2846. Give w(37).\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -997*t + 970*t - 986*t - 630*t + 24.\nAnswer: -1643*t + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2*(-12)\/(-10). Let m = -2 + p. Let g be (-2 + m)*3*-12. What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65851896.078002107 - 65851626.378. Let q = c + -269.7. What is q rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-1)*1*66\/44. Suppose o + o = -4*r + b, -5*r + o + 12 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 223892*a*g**3 - 2*a*g - 2*a + 868*g**2 - g + 1 wrt g?\nAnswer: 1343352*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -163188872 divided by -106799?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149 + -62. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/60 + j**4\/4 - j**3\/6 + j. Let b(z) be the second derivative of i(z). What is b(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*l + 27068, 0*l + 5*l + r = 33846. Suppose b - 11*x - 1364 = -14*x, 0 = -5*b - 5*x + l. What are the prime factors of b?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -1\/14, -2\/5?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111220 - -2121102?\nAnswer: 10010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4031809 is divided by 90?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-15) + (-4)\/10. Suppose 3*j - p*g = 352 - 54, -2*j + 194 = g. Let l = 259 - j. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3989 + 4654. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1 (b) -91 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:11 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1 + 5*s**3 - s + 11*s - 5*s - 3*s. Suppose 3*r = -23 - 16. Let z(p) = 11*p**3 + 4*p + 2. Calculate r*b(i) + 6*z(i).\nAnswer: i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/7 + 2\/(-7). Let m = -77\/2 - -39. Which is the closest to -1\/4? (a) -5 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 - 1 = 0. What is the third smallest value in 3, i, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2352) + 1 + sqrt(2352) + 0.\nAnswer: 1 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + 188*m - 4402. What is w(37)?\nAnswer: -1553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*c + c + 1152 = 0, -3 = c. Which is bigger: -389 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/15, 1\/9, -2, 8\/9.\nAnswer: -2, -0.1, 1\/9, 2\/15, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - (-17)\/4. Let y be 156\/(-27) - i\/18. Let m(h) = -h**2 - 4*h. What is m(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3))**(-27)\/((h*h*h**12\/h*h)\/h*h\/(h\/(h**(-5)*h))))**(-1\/64) assuming h is positive.\nAnswer: h**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223645524 (base 7) to base 12.\nAnswer: -469a863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3499898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {h: 8, x: 5, p: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43, 51, 57, 61, 63, 63, 61?\n\"Answer: -x**2 + 11*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -150297, -150271, -150203, -150075, -149869, -149567?\n\"Answer: 3*f**3 + 3*f**2 - 4*f - 150299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46562 and 37550?\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5\/9 - 182*p**4\/9 + 1894*p**3\/3 - 70498*p**2\/9 + 284740*p\/9 - 110032\/3 = 0.\nAnswer: 2, 4, 23, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3781 = 13*x - 4106 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153973858 + 0.1.\nAnswer: -153973857.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21121141 (base 5) to base 2\nAnswer: -101011000100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7\/529 (b) 72 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 653.43 + -613.0285. Let a = o + -41.261366. Let r = -0.86 - a. What is r rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*f + 7*f - 18*f as x*f + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-3)\/(-6)*0. Suppose 2*k + q + 14 = r, -4*k - 13 = r. Let d be 1 + (-2 - -2) + 14. Solve -d = 5*n - r*g + 2*g, -3*n = g - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**5\/15 + 25*s**2\/2 - 179. Let l(q) be the second derivative of j(q). Let f(g) = -103*g**2. What is f(l(y))?\nAnswer: -1648*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2 - 82*a + 559 wrt a?\nAnswer: -4*a - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 13 = k, 0 = 3*u + 5*k - 66 + 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m + 2. Let w = -133 + 130. Let p(a) = 6*a**2 + 69*a + 6. Let i(g) = w*b(g) + p(g). Factor i(k).\nAnswer: 3*k*(k + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1260 divided by -28\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20420 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02745660508 rounded to 4 decimal places?\nAnswer: -0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 19*v - 175. Calculate the remainder when 110 is divided by k(-27).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.9. Let m = -87648 - -87651. What is the fourth smallest value in 0.2, 0.4, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let c(j) = 2*j**2 - j - 682. Calculate c(s(m)).\nAnswer: 2*m**2 - m - 682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3913133, 3913127, 3913117, 3913103, 3913085, 3913063?\n\"Answer: -2*o**2 + 3913135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -191*a**2 + 2*a - 3. Let s be i(1). Let z = s + 209. Calculate the remainder when 25 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5 = g. Suppose 255 = g*z + 3*l, 4*z - l - 4*l - 167 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11205*s - 100464. Determine r(-9).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 501 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 18*h + 21. Let q be m(8). Suppose s = 2*g - 2499, g + 3*s = q*s + 1257. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22*(-2)\/480 + 669\/(-1784) + (-12)\/(-15). Let 22\/3*q**2 - h*q**5 + 10\/3*q**4 + 0 - 7\/3*q - 8*q**3 = 0. What is q?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153812.\nAnswer: 2, 23, 41, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 613*i**3*w - 438402*i**3 - 2*i**2*w + 426750*i - 93*w wrt i?\nAnswer: 3678*w - 2630412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12450)\/115 + 690\/2645?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1434)\/(-1195))\/((-9)\/30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 + 8*j - 7. Let r be n(-5). Let q be -1*(1 - -1)\/(-2). Let b = -116 - -115.7. Sort b, q, r in decreasing order.\nAnswer: r, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573 divided by 17?\nAnswer: 2573\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -23. Let h(w) = -4*w**3 - 3*w**2 - 2. Let p(a) = a**3 + a + 1. Let c be 3\/6*-6 + 0. Let o(n) = c*p(n) - h(n). What is o(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.3. Suppose -2*t - 150 = -5*t. Let h be 12\/42 + t\/(-126). Which is the closest to -1? (a) h (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 586806 and 6528.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 3*d. Let m be y(2). Which is the nearest to m? (a) 1\/6 (b) -3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -349, -1, 0.3, -4\/3089, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -2002.\nAnswer: -2007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3))**4\/(m**1)**(-11)*(m**(-2\/19)*m)\/(m**(-2\/25)*m)*m*m\/m**6*m**(1\/4) assuming m is positive.\nAnswer: m**(56381\/5700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 1\/(3 + -2). Suppose 9 + 6 = 3*d. Solve -w*m + d*m - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:43 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 489080*d**2 + 390275 with respect to d.\nAnswer: 978160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10 - 6*c**2 - 44*c - c - 11*c**3 - 5*c**3. Is l(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255 - -323. Let g = -96 + 100. What is the least common multiple of g and o?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/30 + 8*d**5\/15 - 11*d**4\/6 - 40*d**3\/3 - 966*d**2. Determine y so that p(y) = 0.\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56.88353 millilitres?\nAnswer: 0.05688353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 4*p + p**3 + 1 + 4*p + 4*p**2 + 1. Suppose -4*d + 1 = -3*d + 4*m, 4*d + 7 = -5*m. Determine f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/11, -5, -1\/9, 3.\nAnswer: -5, -1\/4, -2\/11, -1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zozmmazzzmyadmo. What is prob of sequence dazo?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 (base 13) in base 9?\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 13. What is the remainder when 17 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - (-5 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6538, 1657, -3, -2 in ascending order.\nAnswer: -3, -2, 1657, 6538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*n + 30. Let x = 1 - n. Suppose 5*i = 4*y - 63, 0 = x*y - 3*i + 8*i - 21. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -288, 6, 512, 1230, 2160?\nAnswer: 3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188833\/12 - -15724. What is the common denominator of (3 + (-109)\/36)\/(9\/768) and i?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -58 + 10. Suppose -187 = -3*o - w. What is the remainder when o is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122121000210 (base 3) to base 4\nAnswer: -3112102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -82, -138, -178, -202?\n\"Answer: 8*r**2 - 80*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*u = 24, -4*v - 49 = 2*u - 73 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15412704 and 93.\nAnswer: 15412704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 not equal to -1139\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1737 + -1227. Suppose 4*s = -70 + y. Calculate the smallest common multiple of s and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 2*q - 2. Let k(f) = -2*f**2 - f + 2. Let l(n) = -903*n - 9930. Let m be l(-11). Give m*k(x) + 4*o(x).\nAnswer: -2*x**2 + 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-4\/7)*x*x**18*(x\/(x*x**6))**0 assuming x is positive.\nAnswer: x**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j + 100. Determine g(17).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a - 0*a. Let j be (a - 5)\/(8\/(-2200)). Suppose 0*h - 3*h = 3*s + 330, -j = 5*s - h. What is s rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 30*l**3 + 110*l**2 + 45*l + 126. Let d(z) = -2*z**3 - 8*z**2 - 3*z - 9. Let w(f) = -29*d(f) - 2*q(f). Determine w(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1793595 by 5.\nAnswer: -358719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006549878 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven fourteenths of a week in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-104))\/(0 + (-2)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - 6*sqrt(114)*-4) + sqrt(114))\/sqrt(6).\nAnswer: 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 10 - 1) + -4 + (32 - 30)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23446713 to the nearest integer?\nAnswer: 4842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 6. Let m be 1 + a + 3 + 0. Find the second derivative of -2 + 2*q**3 - q + m wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1820*o**3 - 2576*o - 2558*o + 5133*o + (-4*o**3 + 6*o**3 + 0*o**3)*(3 + 0 - 1) as x*o**2 + k*o**3 + i + y*o and give k.\nAnswer: 1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2100452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5435185 days in milliseconds?\nAnswer: 46959998.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 247, 239, 215, 169, 95, -13, -161?\n\"Answer: -i**3 - 2*i**2 + 5*i + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.1, 779, 2.11, -4 in decreasing order.\nAnswer: 779, 2.11, -0.1, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -6. Let w = 199 + -199. Let o be (4 + -9 - y) + (w - -3). Let q(g) = -12*g**2 + 2*g - 1. Determine q(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 77 = 1243. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 12*r**3 - 6*r**2 - 10*r + 18. Give h(3).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194 and 27760.\nAnswer: 2692720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756507969?\nAnswer: 3, 7, 12008063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283733.4t to grams.\nAnswer: 283733400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(2\/(-88)))\/(8\/(-16)). Let u = -57 - f. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/10 + (-270)\/(-65) + 4\/(-26). Put d, 2, -4, -2 in increasing order.\nAnswer: -4, -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -409.76 and -14305812.\nAnswer: -14306221.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1275 and 5865.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/2*149\/2086.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 g when three letters picked without replacement from {s: 2, f: 4, x: 1, g: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130211302 (base 4) to base 15.\nAnswer: -24a71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-25)\/(1225\/(-441))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/5 - 342*x**4\/5 - 21132*x**3\/5 - 99446*x**2\/5 - 136869*x\/5 - 58212\/5 = 0. What is x?\nAnswer: -49, -3, -1, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 9 = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*t = -12. Find the third derivative of -16*w**2 + 9*w**4 - 14*w**t + 17*w**2 wrt w.\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29811692, 29811691, 29811690, 29811689, 29811688, 29811687?\n\"Answer: -i + 29811693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(3) - (sqrt(108) + -1 - sqrt(108))))**2 - (sqrt(540) - sqrt(540)*2 - sqrt(540) - sqrt(540))\/sqrt(5))*-1.\nAnswer: -36*sqrt(3) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 44 = 3*l. Let u be (-26)\/(-169) - 193\/(-13). Let w = u + -9. Let d(b) = -7*b**2 - 15*b + 4. Let n(i) = -2*i**2 - 4*i + 1. What is l*n(k) + w*d(k)?\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 648859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 7 = 3*u, -5*u + 8 = 123*z - 126*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-5)*g*g*g))\/g)**37 assuming g is positive.\nAnswer: g**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - 124*y**2 + 947*y + 90. What is z(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 11. Let w be p(-8). Suppose -2*d + 15 = 3*r + d, 4*r = 3*d + 20. Let c(y) = -4*y**3 - 4*y - y**2 + 0*y**3 + r*y**3 + 3 + 1. Calculate c(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*d**4 + 2*d**3 + 4*d**2 - 12 wrt d.\nAnswer: 1728*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-88904*(-16)\/320)\/(2\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.9377 - -23.17. Round h to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-1))\/(1 + -2). Suppose -5*o = -5*a - 15, -5*a - 6 - 44 = 2*o. Let l = -3 - a. Sort l, -0.5, r.\nAnswer: r, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 252294191 + -252294192.46900713. Let w = q - -1.469. What is w rounded to 7 dps?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32527334 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:20 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6409134 is divided by 2150?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 2748670*s - 377759338445.\nAnswer: -5*(s - 274867)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2. Determine c(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 949458 divided by 316486.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from nnnnmmmn.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*o - 1 = 113, 5*f = 2*o - 193. Let w = f - -35. What is the smallest value in 1, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39970, 79906, 119748, 159448, 198958, 238230, 277216, 315868?\nAnswer: 354138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -171 - -223 - (-1 + 7 + 12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/z**(-2\/83)*z)\/z))\/((z**(-26)\/z)\/z))**(-3\/11) assuming z is positive.\nAnswer: z**(-6966\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 1.684 (c) -325 (d) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a decade?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*t + 2*a - 11, 5*t - a = 1. Suppose -11*q + 1 = t. What is the smallest common multiple of 1 and (-7)\/14 + q + 43\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 21 = -1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3223)\/(-8790)*8\/66.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:51 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Suppose q*m - 8*m = -126. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -1 + 51\/(-3). What is the tens digit of (j\/6)\/5*-46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 226976404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 13139.\nAnswer: 3\/13139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, -3, 0.4, 0.8, 118.\nAnswer: -3, -0.3, 0.4, 0.8, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y - 10. Let n(l) = 4*l - 5. Let i(q) = 2*c(q) - 5*n(q). Does 21 divide i(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.00281, 0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/120 - 0\/(-3). Let g(b) be the second derivative of b + 1\/15*b**3 + 0 + j*b**4 + 0*b**2. Solve g(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5045105?\nAnswer: 5, 13, 77617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12319*d - 204 + 6148*d + 6170*d - 1231.\nAnswer: -d - 1435","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (1 + 7 + (8 - 20))) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**7\/126 + 7*z**6\/90 + 29*z**5\/60 - 235*z**4\/36 - 100*z**3\/9 + 1000*z**2\/3 + 151*z. Factor b(g).\nAnswer: -(g - 5)**3*(g + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 6. Let d = -108 + 107. Let q(u) = -u - 1. What is d*h(i) - 3*q(i)?\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 336*j + 677. Let m be r(-2). Solve -m*l + 10 = -12*q + 11*q, 8 = 2*q + 4*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + q + 1. Let o(m) = m**2 + m. Let p(u) = -8*u**2 - 5*u + 2. Let k(d) = -5*o(d) - p(d). Give 2*b(z) + k(z).\nAnswer: z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/2 - 263829*v\/2 + 263835.\nAnswer: -3*(v - 2)*(v + 87945)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*u + 9, -4*h = -2*h + 3*u - 7. Suppose 3*j = -h*j + 170. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25455, 5, 0.02, 24, -4, -0.4 in decreasing order.\nAnswer: 24, 5, 0.02, -0.4, -4, -25455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 0.08, 2\/13, -1\/247, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 1172*x - 1204*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 6*l**2 + 6*l - 4. Let z be q(-7). Find the second derivative of -10*b**4 + z*b**4 - 7*b - 5*b**4 wrt b.\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 34424*t**2 - 827040*t + 4963968.\nAnswer: 2*(t - 12)**2*(t + 17236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*w**2 - 597*w - 88*w**2 + 56*w**2 - 924*w to v*w + s*w**2 + a and give v.\nAnswer: -1521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235021?\nAnswer: 1235021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u - 5. Let j = -235 + 243. Let t be (-30)\/j - 81\/(-108). What is b(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - 473*x**2 + 313*x + 49. Calculate g(157).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/5 (b) 0.2 (c) 67 (d) 10\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 a, and 1 m when four letters picked without replacement from mymmysyyysahay.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -22*d**2 - 2632*d + 1. Let f(t) = 4*t**2 - 5*t. Calculate -5*f(i) - r(i).\nAnswer: 2*i**2 + 2657*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:11 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -442781 + 405089?\nAnswer: -37692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14227098.\nAnswer: 2, 3, 2371183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3015*h**3 + 2729*h - 2729*h + 0 + 0 + h**3 + (0*h**3 - 2*h**3 + 0*h**3)*(5 - 3 + 0) as f*h + u + q*h**3 + k*h**2 and give q.\nAnswer: -3018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -1) + 8 + 1. What is the second derivative of 8 - 391*x**2 + 4*x + x**j + 6*x**4 + 388*x**2 wrt x?\nAnswer: 84*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 + 2*c**2 - 2*c + 3. Give z(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2. Let l(y) = -2*y + 1. Let x = -345 - -357. Let c be ((-92)\/(-16) + -5)*32\/x. Calculate c*r(v) - l(v).\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = x + 125. What is the common denominator of -2*6\/(-80)*-6 and 4\/(-6) - ((-763)\/x - 5)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**18\/t))\/(t\/(t*t**(1\/10)\/t*t)) assuming t is positive.\nAnswer: t**(-159\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -2) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1400)*-3)\/sqrt(8) + (sqrt(42)\/(sqrt(384)*-3))**2.\nAnswer: -15*sqrt(7) - 2873\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 12. Suppose 0 = -v*h + 3*h. Solve h*s + 3*j - 13 = -2*s, -2*s = 2*j - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-3))\/((-636)\/530).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 1423224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(l + 2 - 2)*(0*l - 2*l + l + (0 - 3 + 5)*(4*l - 3*l - 3*l))*(-5*l**2 + 0*l**2 + 4*l**2).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7700 + -8cc2?\nAnswer: -15c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 27*c + 10*c + 16*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 - 3*n**2 + 2*n + 2. Let t(r) = r + 1. Let j = -46 - -74. Suppose 32*f - j = 29*f - 5*v, 5*f = v. What is f*d(k) - 2*t(k)?\nAnswer: 2*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226413925?\nAnswer: 5, 31, 292147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -9*a - 144. Solve -10*y = -a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1232, 2464, 3696, 4928, 6160?\nAnswer: 7392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 59562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -65, -87?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 31*f**2 - 22*f**2 - 16*f**2. Let z(w) = -5*w. Give z(s(a)).\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 4*z + 3*z)*(13 - 2 + 1) - 2*z + 2*z + z + (-1 + 0 - 1)*(2*z - 2*z - z).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**3\/3 - 54*g. Let y(l) = -2*l - 7 + 7. Calculate y(n(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(-4*sqrt(68) - (-3 + sqrt(272))))**2.\nAnswer: -288*sqrt(17) + 9825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -2\/13, -0.4, 1 in decreasing order.\nAnswer: 1, -2\/13, -0.4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3\/4 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - -0.15. What is the nearest to 1 in x, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5\/8 + 225*x**4\/8 = 0?\nAnswer: -225, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**2 - 3*x + 25. What are the prime factors of y(-6)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21.2 and -28.2783.\nAnswer: -49.4783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 66*-1\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165b2 (base 13) to base 7.\nAnswer: -235405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 36*r**5\/5 - 13*r**4 - 20*r**3\/3 + 26*r**2 - 16*r - 45. Determine j so that t(j) = 0.\nAnswer: -1, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 260?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252033721?\nAnswer: 673, 1860377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/1676255 and -133\/1410.\nAnswer: 10057530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*m - m - 113700005, 189499995 = -5*m - x. What is m rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30240 is divided by 15080.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 17*k - 194. What is the smallest common multiple of z(12) and 2914?\nAnswer: 14570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 0.01627?\nAnswer: -1.98373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b - 35. Let v be m(-6). Let q be (200\/(-15))\/(4\/(-30)). Let d = v + q. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 - 7947*d + 7944 = 0.\nAnswer: 1, 2648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (0 - -1)*1. Let w(q) = -5*q - 5. Let f be w(5). Let l be (f\/25)\/((-6)\/(-20)). Put l, 0, j in descending order.\nAnswer: j, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = -2*i + 21 + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -23 + 25 - -15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1234036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 571, -13512 in ascending order.\nAnswer: -13512, 5, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9554804 seconds in hours?\nAnswer: 0.000543189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-599 + i**3 + 599)*(-4*i + 3*i + 6*i).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let r(f) = 4*f**2 + 4*f - 3. Let t be r(l). Suppose 4 = 5*c - t. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/10*2 + 12\/30. Suppose 0 = -3*x + 3, i*x + 16 = 2*g - g. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.344 + -0.324. Let f = -0.02 + p. Let d = 4.5 - f. Which is the nearest to d? (a) -0.4 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 24 + ((-5568)\/(-2832) - 17).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 - 1 = 0. What is the remainder when q*3\/(-15)*-195 is divided by 1 + 27 + 1\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 734*4.9\nAnswer: 3596.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0*j**2 + 3*j**2 - 5*j**2) - 6*j**2 + 2*j**2 - 4*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 7028\/9 and 782 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than -367\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 9. Let f(b) be the first derivative of -b**2\/2 + 4*b - 1. Let y be f(i). Is y equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4573*b - 9137*b - 2 + 4568*b + 7*b**2. Let w(a) = -6*a**2 - 3*a + 3. Calculate -4*w(r) - 3*x(r).\nAnswer: 3*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.8, 4, 2, 47, 2\/3 in ascending order.\nAnswer: -16.8, 2\/3, 2, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*l + 16*l + 14*l - 136*l)*(3*l**2 + l**2 - 5*l**2).\nAnswer: 161*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4523203*a**2 - 4523480*a**2 + 9046681*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19891 is divided by 452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855929?\nAnswer: 571, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50775 is divided by 182?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279627 is divided by 69740.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(1\/105*(233 - 236))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/121201836 and -115\/121201836?\nAnswer: 121201836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -3.87 = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (271\/2 - -4)*(-4)\/(-3). Suppose -3*b = -s - 3*s - 282, -2*b + 2*s + g = 0. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**3 + b**2 + 23*b - 4. Let z(o) = -9*o**3 - o**2 - 22*o + 5. Let p(d) = -5*x(d) - 4*z(d). Find the second derivative of p(v) wrt v.\nAnswer: -54*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 21494.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1741, 6971, 15687, 27889, 43577, 62751?\n\"Answer: 1743*h**2 + h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125108 is divided by 7578.\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-12)\/((((d*d**2)\/d)\/d)\/(d*d*(d*d\/d**(-4))\/d*d)) assuming d is positive.\nAnswer: d**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/360 + t**5\/20 + 5*t**4\/36 + 6*t**2. Factor r(m).\nAnswer: -m*(m - 10)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.3. Let i = 149.2 + -148.9. Let s be (2\/5)\/(4\/6). Which is the nearest to p? (a) i (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.250879.\nAnswer: 0.0501758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a**2 + 2*a - 16. Let b(y) = -8*y**2 + y + 17. Let c(p) = -3*b(p) - 4*i(p). Let s(w) = -2*w**2 - 5*w + 6. What is -6*c(t) + 13*s(t)?\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = 4*m - 0*m, 3*m = x - 1. Suppose -3*v = u + 12, 0 = 3*v + 2*u + 2*u + 12. Sort v, m, 2 in increasing order.\nAnswer: v, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488823, 488801, 488777, 488751, 488723?\nAnswer: 488693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqqqqtqtqqt. What is prob of picking 2 t and 1 q?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 179 + 9*t + 6*t + 63 + 0*t + 21*t. List the prime factors of k(25).\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10983275 is divided by 654.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/3937384 and -125\/268458?\nAnswer: 11812152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*o - 594*o = -160 - 95 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2809\/6*g**2 + 2\/3 + 106\/3*g = 0. What is g?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17495 is divided by 1595.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -36*j - 1. Let u(t) = -263*t + 27. Let y(w) = 7*b(w) - u(w). Determine y(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1172878 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 44, 89, 150, 227, 320?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -1.2 in decreasing order.\nAnswer: 5, 0.2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 1. Let r be k(1). Suppose -7 = 3*q + r. Which is the closest to 0.2? (a) 0.1 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 12*l + 2. Let x be y(-12). Suppose 5*o - f - 11 = 0, 5 = -2*o + o + x*f. Solve -o*t + 8 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 34*j + 29*j - 41516, -5*p - 4*j = -51854. What are the prime factors of p?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 22 - 3*f - 5*f**2 - 48 to m + h*f**2 + z*f and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from jwjjjjjjjjjjjjjjjj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -14. Suppose -d - c + 10 = -3, -5*d + k*c + 49 = 0. What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 11 = 3*o, -4*c - 20 = 2*o - 6*o. Let p = 0 + o. Let m be 1\/((p - 2) + 0). Solve -m = -2*n - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859090124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-2))\/((-1)\/2). Let p(l) = -6*l - 2. Suppose -4 = 3*v - 31. Calculate the remainder when p(w) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h*m - 51*h - 540*m - 1 wrt h.\nAnswer: 8*m - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 2:06 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 22*o. Let d(a) = -a - 2. Let b(s) = s**3 + s**2 - 2*s - 3. Let n be b(-2). Let z be d(n). Does 7 divide l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 5*n + 7. Let z be k(-6). Let w(a) = -60*a**2 - 25*a + 25. Let h(q) = -5*q**2 - 2*q + 2. Let v(x) = 50*h(x) - 4*w(x). Determine v(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-4)\/(-2 + -2). Let s be (-5)\/b*180\/(-10). Let d = 38 - s. Calculate the least common multiple of d and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*q - 17*q - 46*q in the form o*q + a and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/14, 5, 3\/35807?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16093*q - 4*q**2 - 3*q**3 + 4*q**2 + 16093*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4662, -9319, -13974, -18627, -23278?\nAnswer: -27927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 10. Let o be (-1)\/(-11)*(3 - 37). Let x = o - -169\/44. Sort 2, w, x in decreasing order.\nAnswer: 2, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.315 * 120.\nAnswer: 397.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 663?\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065794036 to six decimal places.\nAnswer: 0.000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9141.381 nanograms in micrograms?\nAnswer: 9.141381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m - 2 + 12*m**2 + 9*m**2 - 17*m**5 + 5*m**2 - 24*m**2 - 21*m wrt m.\nAnswer: -340*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luuu when four letters picked without replacement from {g: 11, u: 5, l: 1}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 44*s**2 - 14*s + 23. Let p(y) = -15*y**2 + 5*y - 8. Give 6*o(l) + 17*p(l).\nAnswer: 9*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 9*q - 8. Let x be o(7). Suppose 0 = x*a - 11*a + 45. Let l(k) = 6 + a - k**3 - 13. Calculate l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -39. Let d(m) = m**3 + 24*m**2 + 43*m - 22. Let g be d(-22). Suppose -3*l + 151 - 28 = g. Is u at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -908331.1 rounded to the nearest one hundred?\nAnswer: -908300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2298 - -2301. Which is the closest to -1\/4? (a) -3 (b) r (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647467 a multiple of 307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 953 + -957. What is the biggest value in t, -0.5, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 13) in base 4?\nAnswer: 11321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in -18, 0.1, 2\/21, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2373113 to the power of 1\/2, to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10a897 (base 14) to base 12\nAnswer: 234131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3238 - 16.5238. Which is the closest to 0? (a) -0.5 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - o - 16. Let t be j(5). Suppose -2*h = 4*b - 130, 5*h - 77 = t*h + b. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)\/(2\/(-10)). Let l be 4\/10 + (-46)\/(-10). Suppose w - j = -3 + b, 5*j = -l*w + 30. 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 v be (-3)\/9 + 39\/9. Suppose -5*y = -2*w - 0*w - 20, -2*w - 18 = -v*y. Solve 4*x - 6 = y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1643 and -39.\nAnswer: 6.4077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*j + 210*j - 653*j + 61*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20135\/982 - -2\/491. Let v = a + 20. What is the closest to v in 4, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5419.74778 - 13.41778. Let q = z - 5386.330018. Let m = q - 20. Round m to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -302000330?\nAnswer: 302001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 62923549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z + 163. Let r(i) = 7*i - 326. Let x(g) = -13*k(g) - 6*r(g). Let o be x(16). Which is the nearest to 0? (a) -5 (b) -2\/21 (c) o (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34968, 34951, 34922, 34881, 34828?\nAnswer: 34763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 + (8 - (265 + 8)). Which is bigger: b or -277?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 35. Let v be y(-15). Suppose 0 = 2*d - d - 1. Suppose 3*o + d = 13. Solve 3 = v*f - b, b + b = o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450444201 to the power of 1\/3, to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 842153 to the power of 1\/2, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11387237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**3 - 2370*s**2 + 27783*s + 19578.\nAnswer: 3*(s - 251)*(s - 13)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -29 in descending order.\nAnswer: 5, 4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (((-40)\/5)\/(-2))\/(2\/35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450900 (base 14) in base 2?\nAnswer: -100101101010110011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 8*d + 0 + 9\/2*d**2 - 1\/6*d**3. What is the lowest common multiple of 64 and x(-3)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 21. Let y(o) = 7*o**3 - 2*o**2 - 4*o + 5. Calculate the remainder when (19 + -13)\/((-6)\/p) is divided by y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -121684, -121683, -121682, -121681, -121680, -121679?\n\"Answer: u - 121685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1270.1472225 + -1270. Let d = p - 0.8472176. Let h = 0.7 + d. Round h to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 21\/2*s**3 + 5*s + 13 - 1\/2*s**2. What is the first derivative of z(q) wrt q?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276*b*m**5 - 21*b*m**4 - 2*b*m**2 + 286*b*m - m**2 - 1 wrt m.\nAnswer: -16560*b*m**2 - 504*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 102. Suppose -z + 5*q = -109, 3*z + l*q = 19 + 223. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -4. Suppose 4*d - 2*p = -2 - o, -2*d + 2*p = 6. Let x(k) = -5*k - 1. Is x(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17)*-1)**2 - (sqrt(68)\/sqrt(4) + 2)**2 - (5 + -2*sqrt(272)*-2).\nAnswer: -20*sqrt(17) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*s**2 - 292 - 13*s + 370*s**2 + 289 in the form i + q*s + c*s**2 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62836*w - 62836*w + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:28 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-18))**(-3\/17)\/(v**(-3))**(-17) assuming v is positive.\nAnswer: v**(-813\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 66857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 20 = 3*r. Let u = r + -37. Let j = u - -29. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 275994115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3 + 1875701*f**2\/3 + 3334612*f\/3 - 277884 = 0.\nAnswer: -2, 2\/9, 208413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -95*c**3. Let o(k) = 32*k**3. Calculate -3*g(z) - 8*o(z).\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/168)\/3 - (-33)\/(-1848)*4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9249*x**3 - 2*x**2 - 3*x - 2. Let c be t(-1). Suppose 0 = -4*p + 828 + c. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 206, 457, 764, 1157, 1666?\n\"Answer: 5*i**3 - 2*i**2 + 222*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - q**3 - 4*q**2 + 2*q**2)*(-33 + 27 - 54).\nAnswer: -60*q**3 + 120*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 48044?\nAnswer: 48044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 179*o**2 + 461*o - 21. Let g(w) = 88*w**2 + 230*w - 10. Let j(c) = 18*g(c) - 8*k(c). Factor j(m).\nAnswer: 4*(m + 3)*(38*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -2\/15, 2, 2.57, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 4 - -11)*(-2)\/(-8). Let d be (212\/20 - x\/(-10))*2. What is the highest common divisor of 44 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 0*s + 2*s + 2 = 0, -6*s - 8 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyqtyfwqqt. What is prob of sequence wy?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -514 + 140. Let m be 34\/t + (-136)\/(-22). What is the highest common factor of m and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7278 - 7278 + 10*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 12:10 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0, 3\/2, 138, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12004087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -960, -969, -984, -1005, -1032, -1065?\n\"Answer: -3*k**2 - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -145.4?\nAnswer: -141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/48)\/((-171)\/(-12))*-4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 116b - 8?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 382, 876, 1568, 2458, 3546, 4832?\nAnswer: 6316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1398 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)\/i**(-5\/4))**31\/(i**(-1\/6)*i*i**(1\/2)*((i\/(i**0\/i))\/i)**(-24)) assuming i is positive.\nAnswer: i**(1295\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -101.6, 5, 16 in ascending order.\nAnswer: -101.6, 1, 5, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 81. Let p(c) = -81. Give -3*p(k) + 2*r(k).\nAnswer: -2*k + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-670)\/(-30) + 2\/(-6). Let j = m - 16. Let a = -42 - -59. Calculate the remainder when a is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 962*q - 20 = 967*q, -19*s - 5*q = s - 40 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n - 4 = 0. Let h = n - 1. Let f = h + 4. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000001111100 (base 2) in base 5?\nAnswer: -1012013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 692?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 33 + 37. Let d be 20\/k*10\/(-25). Which is the closest to 0? (a) 2\/3 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/5 + 3028*y\/5 - 3032\/5.\nAnswer: 4*(y - 1)*(y + 758)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 71285152, 142570307, 213855462, 285140617?\n\"Answer: 71285155*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 685. Is d a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1049 + 3143\/3. What is the nearest to -2\/7 in 0, 477, 2\/3, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2\/15*q**5 + 116\/5*q**2 - 34\/15*q**4 + 306\/5*q + 162\/5 - 116\/15*q**3 = 0.\nAnswer: -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, 19, 116, 303, 610, 1067, 1704?\nAnswer: 2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4400 divided by -5?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/42 and 54\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 1. Let o(g) = g**2 + g - 13. Let r(b) = 5*d(b) - o(b). Give r(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from keksklkkkelkelseeek.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*k**2*q - 63574*k**2 + 802*k*q**3 with respect to q.\nAnswer: 12*k**2 + 2406*k*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnd when three letters picked without replacement from {d: 1, u: 1, n: 2, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - 12f?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3220, -3398, -3868, -4774, -6260?\n\"Answer: -24*a**3 - 2*a**2 - 4*a - 3190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/(-56))\/(2\/(-14)). Suppose -3*s = n*s - 56. Calculate the remainder when 54 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594595025 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5928 divided by 104?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -50*a - 19*a**3 + 0*a**2 + 1\/3*a**4 + 0. Find the second derivative of i(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 335*n**2 - 76*n - 76. What is r(-1)?\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001012100 (base 3) in base 7?\nAnswer: 451041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-5 - (sqrt(128) + -1))**2 + 4*sqrt(8)\/(1*sqrt(4)*4).\nAnswer: -105*sqrt(2) + 5619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 25080*l - 52417200.\nAnswer: -3*(l - 4180)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*i + 21*i**4 - 80*i + 32*i wrt i.\nAnswer: 252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*d + 17 - 1, 0 = 4*d + 8. Let j(i) = 3*i**2 + i + 14. Let u be j(h). Let t(v) = -3*v + 116 - u. Let k(y) = 17*y**2. Calculate t(k(q)).\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 2, e: 4, t: 3, w: 3, n: 1}. Give prob of picking 2 t and 1 n.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + -4 + (-3 + 2)*5. Let m(w) = 2*w**2. Let k be m(-2). Solve h*n = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194 and 146.\nAnswer: 14162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12066797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(187)\/sqrt(891))**2) + 1.\nAnswer: 64\/81 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**3 - 44*j**2 - 2065*j + 9. Let n(x) = -6*x**3 + 45*x**2 + 2064*x - 6. Let o(i) = 3*n(i) + 2*p(i). What is the second derivative of o(u) wrt u?\nAnswer: -24*u + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*a = -468 - 596 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2185*g + 4288 = 1917*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -274, -510, -746, -982, -1218?\n\"Answer: -236*y + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -3\/4*h**2 + 1\/4*h**4 - 15 + 1\/12*h**6 + 7\/3*h**3 - 1\/2*h**5 - 9\/2*h. What is f in s(f) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -10000110?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/100 and 97\/972.\nAnswer: 24300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - v**2 - v - 1. Let d(w) = 8*w**3 + 27*w**2 + 57*w + 37. Let q(p) = -3*c(p) + d(p). Factor q(t).\nAnswer: 5*(t + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20511716 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a - 2*a + 7*a)*(3 - 13 - 14 - 45)*(-27 - 50 - 67) in the form z + f*a and give f.\nAnswer: 19872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 250234 (base 12) in base 15?\nAnswer: bd417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351*-4.\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.72 - -2.72000137. What is u rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**5\/20 - 5*q**4\/12 - 5*q**3\/6 - 3*q**2 + 123*q. Calculate x(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/12)\/d)\/(d\/(d**(-18)*d))*(d**(-7\/5))**(-48))**(39\/2) assuming d is positive.\nAnswer: d**(37921\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n - 39. Let i(r) = -r + 12. Let p(c) = 14*i(c) + 4*x(c). Let s(f) = -f - 1. Calculate -p(l) - 12*s(l).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -w + 15*w. What is the nearest to -2 in w, -0.4, -5, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 14*v + 13*v + 6, -2*v + 8 = 4*w + v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -14. Suppose -2*c + 14 = 2. Suppose -c*s - q = -s - 180, -w*q + 108 = 3*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/(-234) - (-2)\/(-4) - 76\/105\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381225 = 5204*s - 20453*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -14. Suppose 0*k + q*k = -10. Sort 0, 2, k in ascending order.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119\/2? (a) -2\/9 (b) 1\/8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2\/5 - 138207*j\/5 - 33202836\/5 = 0. What is j?\nAnswer: -239, 46308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6074697 to the nearest integer?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -12. Suppose -2*d + z = -3*a, -5*d - 3*a + 0*a = 9. Suppose d*h = h - 9. Which is smaller: h or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + -61. Let f = r - -87. Suppose -2*b - f*t = -520, -b - 781 = -4*b - 4*t. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)\/q**4)**(-1)\/((q\/q**(-2\/5))**44\/((q**(-1)*q)\/q*q*q**4)) assuming q is positive.\nAnswer: q**(-233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -133, -162, -157, -106, 3?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 686114336.\nAnswer: 686114335.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w + 6. Let o(u) = 8*u + 6. Let l(v) = -7*o(v) + 6*y(v). Let k = -15 + 3. Let b = -6 - k. Let j(r) = r + 1. Give b*j(t) + l(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3703.8 - -3694. Put u, 0.5, 0, 5, -2\/13 in ascending order.\nAnswer: u, -2\/13, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11658 (base 14) to base 3\nAnswer: -2011011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a - a. Suppose -f = a*f - 384. Suppose d - 3 = -3*t - 0, 0 = 5*d + 2*t - 54. Calculate the highest common divisor of f and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*m**5 + 26*m**4 + 5923*m**2 - 2040*m - 1715 wrt m?\nAnswer: 860*m**3 + 312*m**2 + 11846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2485220 and 2485220?\nAnswer: 2485220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1a3 (base 16) to base 9\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2313425 - 2?\nAnswer: 2313423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 686589 - 15?\nAnswer: 686574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*n**2*u**2 + 1702*n**2 + 36*u**2 wrt u?\nAnswer: 10*n**2*u + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143\/4 - -34. Let m be 1 - (-22)\/14 - 3. Which is the third smallest value? (a) f (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**2 + 51*u - 2. Calculate z(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 597850 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173166.\nAnswer: 2, 3, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 43 + 53 + 11 - 40 + 72 in the form f*v + m and give m.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 10:52 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/232, 689, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14365 * -1\nAnswer: -14365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 1, q: 1, s: 5, o: 1}. Give prob of sequence ss.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 37*r - 41*r + 2772, l + 4*r = 699. Let c = 213 + l. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 28 = -4*x. Suppose -8 = -3*z + x. What is the remainder when z is divided by 2*-1*1\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.2 + -2.1. Let f = 2.7 - q. Let h = 10 - f. Sort h, -1\/2, -0.1 in ascending order.\nAnswer: h, -1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*m*p + 8045*m*y - 163244*m - 90*p*y wrt y?\nAnswer: 8045*m - 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17692c0 (base 13) to base 5.\nAnswer: -3422224433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/6925 and -61\/671700.\nAnswer: 186060900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*7\/63*9\/24.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**2\/2 + 18*o - 9. Let i be g(6). What is the common denominator of 56\/27 and (8\/(-60))\/(i\/35)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 3. Let l(a) = 10*a - 1. Let u(y) = 7*y. Let i(c) = 2*l(c) - 3*u(c). Suppose -4*d + 4*o = 24, 0 = 4*o - 2*o - 8. Determine d*n(x) + 3*i(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -9 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 220*u**4 + 6*u**3 + u**2 - 2039?\nAnswer: 880*u**3 + 18*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (437*y**3 - 1527*y**3 + 122510*y - 122512*y)*(4 - 1 - 1) to w + r*y + c*y**2 + g*y**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from pjbpjbppppjt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 413*u**2 - 423*u**2 - 4*u + 0*u - 2 + 6. Let f(v) = 21*v**2 - 9 - v + 8*v + v + v. What is -4*f(b) - 9*r(b)?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.3 (c) 3 (d) -1737025 (e) 0.12 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.54 - -2.74. Let w = -3.7 + -1.3. What is the fourth smallest value in 0, 0.1, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let t(h) = -15159*h. Determine t(g) + 2934*w(g).\nAnswer: -9291*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 7 + 6)*(h - 1 + 1).\nAnswer: 31*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*u - 50, -u - 27 = -m - 4*u. Let r be ((-4)\/(-5))\/((-7)\/105). What is the lowest common multiple of (2 + 8\/(-3))*r and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 7:57 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {e: 3, w: 5, g: 1, t: 1, o: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3120947149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5\/3 + 2828*k**4\/3 + 19588*k**3\/3 - 8492*k**2\/3 - 64456*k\/3 - 39200\/3 = 0. Calculate k.\nAnswer: -700, -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1054? (a) -107\/9 (b) 1\/3 (c) -3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + -2 + 51 + (-2 - 18).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -11. Let d = 7 + l. Let s = d - 9. Which is the biggest value? (a) s (b) -1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 789 and 24?\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9) + (-8)\/(-6). Is ((-3)\/r)\/((-1)\/14) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 934 + -939. Is -137 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 0*b + 2*b)*(-367408 + 367408 - 306*b**2) + 3*b**3 + 4 - 4 as o*b + n*b**2 + f*b**3 + m and give f.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-14) + (-8 + 13 - 8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1654 - 330. Suppose z = 3*l - 281. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*m + b, -115 = -5*m + 3*b - 43. What is the remainder when 116\/m - (-3)\/9 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -254?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1146745*f**2*r + 728396*f**2 wrt r.\nAnswer: 1146745*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Suppose -w*d = -5*d. Suppose d = -5*h + 4*h - 37. Calculate the common denominator of h and -41\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17358 is divided by 148?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005650646 rounded to 7 dps?\nAnswer: -0.0005651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 9*v**2 + 23*v - 10. Let a be b(5). Suppose x = -4, -32 = 4*d - a*d - x. What is the highest common factor of 20 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, k: 5, m: 2}. What is prob of picking 1 m and 1 n?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 5. Sort -2, 5, z.\nAnswer: -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-18)\/3)\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 229183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 747 and 6225?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3134*n - 4372*n + 7351*n + 5162*n to x*n + l and give x.\nAnswer: 11275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + w - 4*w + 0*w)*(-6 + 6 - 4*w + (-5 + 5 + 3*w)*(-2 + 0 + 4) - 2 + 2 + 2*w - w - 2 + 2).\nAnswer: -9*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -5, -1, 1, 0 in ascending order.\nAnswer: -5, -1, 0, 1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 403b - 84a?\nAnswer: 33b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1337 (base 8) to base 16.\nAnswer: 2df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273131\/22 - -12413. Let i(z) = -6*z**3 - 7*z**2 - 8*z - 6. Let f be i(-5). Calculate the common denominator of v and f\/(-72) + (-8)\/12.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*p - 13. What is the remainder when p is divided by (1\/1)\/((-6)\/(-84))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 - -147.25. Let z = t - 4.65. Put z, -13, -3\/7 in decreasing order.\nAnswer: z, -3\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1070.32 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -2*f + 1299. Suppose -4*k + 357 = -f. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 82797 - 27601 - 27596 - 27600.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*9\/351*-2.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*h - h - 3*k, 1 = h + 3*k. Let x = -2 + 4. Suppose 0 = -r + 4*l + 9, -2*r + 12 = -0*r - x*l. Solve -3*u + 17 = -0*t + 5*t, -r*u = h*t - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-21)*((-119)\/14 - -7). Let v = -1 + -1. Which is the second smallest value? (a) 0.5 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*d - 68*d = 24*d - 1670. Solve 15*u - 18*u = -4*f + 15, -4*f - d = 2*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*y - 20, 0 = 2*y + 4*x - 3*x - 4. Which is the biggest value? (a) 5 (b) y (c) 2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Let h(a) = 3*a + 38. Let c be h(-13). Sort c, v, -2 in ascending order.\nAnswer: -2, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2282355*b**2 + 5 - 30*b**3 - 2282339*b**2 as k + d*b**2 + m*b + a*b**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 71. Calculate the smallest common multiple of z(53) and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - y**2. Let o(k) = -4 + 3*k**3 + 0*k**3 - 2 + 9*k**2 + 5. Let w(d) = 2*m(d) + o(d). What is w(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.03, 2, 1\/5, 0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 700190 + t + 2*t**2 - 700190. Let y(h) = 1 - 1 - h. Calculate o(u) + 2*y(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -4\/25 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 24*k + 317 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (1 + (sqrt(3) - (sqrt(3) + 2 + sqrt(3))))**2 + (1*sqrt(363) + sqrt(363))**2 - sqrt(36)\/(-3*sqrt(972)).\nAnswer: 82*sqrt(3)\/27 + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 4. Let d = -2 - q. Sort 0.5, d, 1\/6 in decreasing order.\nAnswer: 0.5, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0 + 0*u + u**4 + 5\/3*u**3 - 2*u**2. Let k(v) = 5*v + 2. Let q(b) = 3*d(b) - 14*k(b). Give q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -815*a**2*r**3 - 4*a**2*r - 19*a**2 - a*r**4 + a*r**3 - 5*a*r**2 wrt r.\nAnswer: -4890*a**2 - 24*a*r + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 23181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.6, -3, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3663, 7347, 11051, 14781, 18543, 22343?\nAnswer: 26187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -27\/5, -0.2, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -348 - -521. Suppose o - 17 = 3*l. Calculate the greatest common factor of 130 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1022, 1032, 1054, 1094, 1158?\n\"Answer: p**3 + 3*p + 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 8*s - 56. Let l be k(-17). Let d be 2\/19 - 396\/l. Let -3\/2*q + 9\/2 + 1\/8*q**d = 0. Calculate q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363591 is divided by 550?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 9 - 49. Solve 4*v + 0*v = r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 + 2*r**4 + 2*r + 0*r - 22*r**2 as l*r**4 + k*r + t + x*r**2 + y*r**3 and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32*2.3\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64920, 129872, 194834, 259806?\nAnswer: 324788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 30*u**2 - 357*u + 4. Let b(t) = 17*t**2 - 179*t + 2. What is 7*b(a) - 4*q(a)?\nAnswer: -a**2 + 175*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718031.\nAnswer: 61, 79, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(0 - 3 + 1)*(-38 + 33 - 7*v + 3*v).\nAnswer: -8*v - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13 - 0\/4) + 2. Solve 2*v + v = -p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((5 - 1) + -79 + 68 - -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + i - 9, -o - 2*i + 5 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 3*j**3 + 4*j**3 + 62 + 20 + 3*j**3 as r*j**3 + l*j**2 + i*j + s and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 - 8*b**2 - 6*b + 4. Suppose 2*z + 2*z - 52 = 0. Calculate the remainder when z is divided by j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2\/(-8) - 0). Let x(d) = d - 6. Let c be x(u). List the prime factors of 52\/8 - (-1)\/c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkbnnk. Give prob of sequence bkbk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12159.8 - -0.78?\nAnswer: -12159.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*n**2 - 9 - 62*n**2 + 70*n + 10*n**2 - 70*n to j + o*n + y*n**2 and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-6)\/f)*f*(f*f**(-3)*f)\/f)\/(f**(-3)*f*f\/(f\/(((f*f**(4\/3))\/f)\/f*f))) assuming f is positive.\nAnswer: f**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 3, b: 1, e: 6}. Give prob of picking 1 x, 1 b, and 1 e.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5181, -5184, -5187, -5190, -5193, -5196?\n\"Answer: -3*a - 5178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -569 by 871963.\nAnswer: -569\/871963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 219, 483, 747, 1011, 1275?\n\"Answer: 264*i - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w + 312. Let x be l(22). Suppose 3*r + v = x*r + 1, 2*v + 4 = -r. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 18 = 7*d - 4*d, -5*d = -2*q - 12. Suppose 123 = -3*h - 4*s + 332, 0 = s - 5. Let z = q + h. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 2*s**2 - 3*s + 1. Let u be j(1). Solve 21 = 4*o + 3*v, 3*o + u*v - 28 + 13 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2822\/9 (b) -0.5 (c) 0.06 (d) 0 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 + 13*s - 2. Let a(g) = -7*g**2 - 27*g + 5. Let j(u) = -2*a(u) - 5*n(u). Suppose 4*z + 0*z = -44. Let y(m) = 2*m. Give z*y(r) - 2*j(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, 53, 9, -5, -2 in increasing order.\nAnswer: -145, -5, -2, 9, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 17*j - 21. Let o(h) = -50*h + 62. Let p(a) = -17*d(a) - 6*o(a). Is 14 a factor of p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147053 is divided by 90?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18298 + 0.1675. What is n rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1201 = -8*q - 905. Calculate the remainder when q is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2991 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 14. Calculate the least common multiple of 8 and (4\/h)\/((-4)\/(-200)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -141.894 + -3.226. What is j rounded to the nearest integer?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04454121 rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 402800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 8*z + 4. Let m = 30 + 13. Let v = m + -51. Determine s(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.391 - 7.375. Let m = n + 0.334. What is m rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwwqwwqqwl. Give prob of picking 1 q and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 11\/2, -1.31, -6\/7, 29, 1 in descending order.\nAnswer: 29, 11\/2, 1, -4\/9, -6\/7, -1.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 26, 37.5, 2, -7, 2.5?\nAnswer: 37.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -104959 + 468884.8\nAnswer: 363925.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1804 at least as big as -1819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.46758 to 2 dps.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 3*x - 1. Let p be l(-4). Suppose 0 = -f + h + 9, 27 = 5*f + p*h + h. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4598 (base 10) to base 12.\nAnswer: 27b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1288820.41 to the nearest one hundred.\nAnswer: -1288800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muhxhhcuh. Give prob of sequence hxc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595 divided by -5.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a1964 - -266a?\nAnswer: 1a4523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.20248512 to two decimal places.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2776\/2843 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1053\/(-810)*((-12)\/(-39))\/(-1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -4*o - 43*l, -2*o + 3*l - 903 + 910 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16 = 2*m + 16, -4*s + 3*m + 41 = 0. What is the remainder when 81 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*n + 3*s, n - 2*s - 14 = -4*s. Suppose -38 = -24*h - 14. Which is the nearest to h? (a) 2\/29 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times -130597?\nAnswer: 3003731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + sqrt(1216) + (sqrt(1216) - (2*2*sqrt(1216) - sqrt(1216)) - sqrt(1216)) - (-3*(-3 + (sqrt(1539) - (-2 + sqrt(1539))))**2 + -2).\nAnswer: -16*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*d + 7920 = -199*d - 106*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11978 + -6755. Let c = -337279\/18 - o. Calculate the common denominator of -77\/24 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 656.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.026, -3, -15\/19, 1, 2, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4398731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvgggmmgdvgm. What is prob of sequence vdg?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -9 - (-24 - (-73 - -38)) - (-5 - 72).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s + 5*x = 29*s - 15, -x = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12988.92l?\nAnswer: 12988920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**7\/7 + 289*f**6\/15 - 99*f**5\/5 - 193*f**4\/3 + 65*f**3 + 97*f**2 - 268*f. Find u such that p(u) = 0.\nAnswer: -97, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 + -4.61. Is i less than 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x + 51 = 16*x. Sort 39, 1, x in ascending order.\nAnswer: x, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 32101 (base 8) to base 4\nAnswer: 3101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7)*(-177093)\/(-1874)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 43*y + 36*y - 91*y. Suppose g = 4*i - 15, 0 = -2*i + 3*g - 0 + 5. Let o(n) = -n - i*n - 2*n + 5*n. Calculate z(o(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.26? (a) -0.5 (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/79, -0.5, -2, 0.1, -0.7, -0.2?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(18))\/sqrt(6)*-2.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -210 + 208.87. Let f = 0.13 + l. Which is the biggest value? (a) f (b) 2 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 divided by -3.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3493 + 3493.1. Let f = 9 + -4. Which is the closest to x? (a) -3 (b) 2\/19 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*j**5 - 2*j**4 - 13547*j**3 + 125*j**2 + 21641*j.\nAnswer: -4200*j**2 - 48*j - 81282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 134*s + 265. Let x be k(-2). Let g = 3 + -2.8. Which is the closest to g? (a) x (b) 1.3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8223 = -q, 3*q - 20596 = -2*v - 3*v. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 4:32 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0*3.55\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*i**3*n*y + i**3*n + 5*i**3*y**2 + 779*i**2*n*y**2 - i**2*y + i**2 + i*y + 19*n*y**2 - 3*n wrt y?\nAnswer: 10*i**3 + 1558*i**2*n + 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14213 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*z**3 + 6*z**3 - 2*z**3 + 2 - 2 - z**3 + (4 + 2 - 5)*(4*z**3 - 3*z**3 - 3*z**3) - z**3 - z**3 + z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/12*94\/3. Let l = x - -89. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047151 rounded to five decimal places?\nAnswer: -0.00472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 - 55. What is the remainder when k is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38372)\/47784 - (-54)\/33.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 4*c**2 - 3*c. Determine g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6)*(-30)\/(-40). Which is smaller: -8 or j?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -2, 1 in descending order.\nAnswer: 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 123603 (base 7) to base 8\nAnswer: 54627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((-308)\/8624).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 13 + 9 = 4*b, b = f + 7. Let h = f + -1. Let o(g) = 2*g**3 + 33*g**2 + 20*g - 369. Let m be o(-15). Put -5, m, h in descending order.\nAnswer: m, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/65 + (-132)\/(-10). Suppose 0 = 5*g - 2*g - 4*c - j, 0 = 5*g + 2*c - 39. Suppose t**2 + 6*t**2 - g*t**2 + 3*t**2 = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f - 2*f + f**2 + 11 - 14*f + 5*f.\nAnswer: (f - 11)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 482, 2889, 8660, 19235, 36054?\nAnswer: 60557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/(u\/u**(4\/5)))))\/u**(-2\/9))\/(u*u\/u**(1\/5)*u*u*u*(u\/(u**(-1\/4)\/u))\/u))**47 assuming u is positive.\nAnswer: u**(-8507\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 17.2. Let j = 208 + -207. Is k > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2442, 10946, 25500, 46104, 72758, 105462?\n\"Answer: 3025*p**2 - 571*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-9\/7)\/z)\/(z*z**(4\/15))*(z**(-1\/36))**(2\/37) assuming z is positive.\nAnswer: z**(-59531\/23310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 18 = -g + 5*g + 2*g - 3*a, 21*g - 2*a - 15 = 20*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*o - 155, -4*o + 0*o - 16 = 0. Let p = -135 + z. Sort 2, p, -1.\nAnswer: -1, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 41, -5, 5, 3\/5, 9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 14\/13?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1002703 - -449371.\nAnswer: 1452074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-24)*2*512. Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105873 by 118.\nAnswer: -105873\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -20285276?\nAnswer: -20285276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23218 - -23220. Solve -4*f = 3*y + 1, -3*f - i = -11*y + 12*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*o + 6384 = 149*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1871 + 5295. What are the prime factors of u?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 35*i + 263951 = 264047 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29197175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38feda24 + -3?\nAnswer: 38feda21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/2 of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126.245 + -25.085. Let j = d - 0.67. Let x = 152.000122 + j. What is x rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**3\/3 - 7*n**2\/2 - 5*n - 7. Let v = 281 - 290. Is q(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2009989 divided by 5\nAnswer: -2009989\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/945 and -67\/18075?\nAnswer: 1138725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.927826cm in kilometers?\nAnswer: 0.00006927826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - 89*q - 35*q)*(1 + q**2 - 1).\nAnswer: -118*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (168\/20)\/((-6)\/(-15)). What is the third derivative of 9*x**6 + 28*x**2 - 24*x**6 - g*x**2 wrt x?\nAnswer: -1800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/3)\/(12\/8). Is 3*(k + (-24)\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162*r + 207 - 102 - 105 + (2 - 5 + 1)*(r + 5*r - 4*r) to the form p + b*r and give b.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.73, 0, 8?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -16*m**2. Suppose 4*q = 5*q - 2. Let u(d) = -5*d**2. Let f(b) = q*s(b) - 7*u(b). Let x(z) = -8*z. Determine f(x(y)).\nAnswer: 192*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*v - 5 = 0, 0 = 5*a + 4*v - v + 5. Let f be (-7)\/(-4) - 1\/a. Solve -f*y = 3 + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10276*s + 7 + 1 - 2 - 8 + 9716*s + 0.\nAnswer: -560*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 6*t - 5. Let d be s(5). Let r(n) be the third derivative of 0 + 6*n**2 + d*n**3 + 1\/3*n**4 + 0*n. Calculate r(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261126 divided by 1602.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063453 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 41260185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b7 (base 14) to base 8\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153*q + 20 + 19 - 37)*(-3*q**2 + 4*q**2 - 2*q**2) - 4*q**3 + 4 - 4.\nAnswer: -157*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 55 + 65 = 0. Let o(r) = 4*r + r + 81 + 111*r**z - 170 + 84. Is o(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 9*c - 10. Suppose -c*u = -3*j + 14, 2*j - u = -3*u + 16. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241 - -240.99999857. What is y rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -833.2 and 5.\nAnswer: -4166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1\/7, 2.45456.\nAnswer: -2, -1\/7, 1, 2.45456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(-2\/13))**(-23)\/((d**(-1)*d**5)\/((d**(-2\/15)*d)\/(d**5\/d))) assuming d is positive.\nAnswer: d**(-701\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128271 - -164879.\nAnswer: 293150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 202 = 3*v, -4*j - 73 = -3*v - 234. What is the remainder when 80 is divided by j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -0.077723?\nAnswer: 3.077723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 52. Let r be (-56999997)\/(-6) + (-3)\/s. Round r to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/9 (c) 187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*x + 2*k, -2*x = 2*x - 3*k + 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(945\/18))\/((-2)\/55).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 500370 (base 12) in base 16?\nAnswer: 12fe04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-392)\/(-72) + -5 - 9262\/(-99)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 2.602?\nAnswer: 1.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 16*i - 28. Let j be o(14). Find b, given that 1\/3*b**3 - 2\/3*b**2 + 0*b + j = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/44 or 2\/11?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165393 is divided by 10332.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Differentiate -5*c**3 - z*c**3 - c**3 + 4*c**3 + 4 with respect to c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, c: 7}. Give prob of picking 2 q and 2 c.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 + 1.87. Let r = 8 + -8.03. Let v be (-4)\/18 - ((-1955)\/(-315) - 7). Which is the nearest to x? (a) r (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/12, 0.3, 2\/13, 1\/2, -3, -3327?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 2*f - 2*f + (-91*f + 71*f + 333*f)*(0 + 1 - 3))*(0 + 2 - 1) in the form c + g*f and give g.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/36*-1)\/((-1)\/20). Sort t, -5, -4, -1 in increasing order.\nAnswer: -5, -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1357, 5623, 12823, 22951, 36001, 51967, 70843, 92623?\nAnswer: 117301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least as big as -106\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4924673 or -4924674?\nAnswer: -4924673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-45))\/(((-858)\/(-65))\/(-33))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -o - 7. Let b = o - 40. Let t(n) = -n**3 - 6*n**2 + 6. Let k be t(-6). What is the highest common factor of k and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5006987166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897476.\nAnswer: 2, 89, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 14*h + 52. Let j(a) = 13*a + 18. Let i be j(-2). Let o be g(i). Solve 7*r = 9*r + o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 1:34 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*y + 297 + 888 = 87 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402066?\nAnswer: 2, 3, 7, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 201*p + 6965. What is the remainder when 966 is divided by o(44)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/12*(-6)\/4. Suppose f + f = -s*x + 56, -5*x - 5*f = -80. Suppose 0*a + 3*a = -x. Sort 4, 1, a.\nAnswer: a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 3*z + 1. Let d be h(1). Let g = -3.45 - 0.05. Let k = g - -3. Which is the nearest to d? (a) k (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92 + ab?\nAnswer: 13d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/5, -2\/3, -21, -1\/3, -1, 0 in ascending order.\nAnswer: -21, -16\/5, -1, -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2359277 + -4926170239\/2088. Find the common denominator of -19\/6 and h.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -107*v**3 - 13*v + 214*v**3 - 108*v**3 + 11 + 18*v**2. List the prime factors of j(17).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 197983\/16 + -12380. Calculate the common denominator of (-25)\/16 - 0\/3 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrmrrmwm. Give prob of sequence mr.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108988572 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + f + 4*f - 2*f + 3*f - 2*f + (f - 5*f + 2*f)*(-4 - 2 + 4) - 4*f - f + 2*f - 1 + f + 1 + 0*f + 0*f + 2*f to r*f + s and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*v**2 + 60*v - 112*v + 52*v as w*v**2 + r*v + f and give w.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461417 = 13*j + 1826417. Round j to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**2*x**(-3))\/((x\/x**(2\/9))\/x*x**(-2)))\/(x**5*x*x\/x**(-14\/9))**(-4\/23) assuming x is positive.\nAnswer: x**(256\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25366799 and 8.\nAnswer: 202934392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7.7+85\nAnswer: 77.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/9)\/(5\/(-30)). Let j be (-1)\/x*(-6 - -3). Let r(o) = o**2 - 6*o + 6. Let n be r(5). Does j = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/5)*v**(2\/7))**40)**(2\/59) assuming v is positive.\nAnswer: v**(48\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -29\/5 (b) -2\/11 (c) -0.1 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 + -219.1. Suppose 0 = 2*g + 3*t + 27, 3*g + 18 = -5*t - 25. Sort g, -2\/3, l in ascending order.\nAnswer: g, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58980, -118090, -177200, -236310, -295420?\nAnswer: -354530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(-c + 3*c - c) - 2*c + 7*c + 6*c)*(6*c**3 - 3*c**3 - c**3) - 6*c - c**3 + 540364*c**2 + 18*c**4 - 540364*c**2.\nAnswer: 44*c**4 - c**3 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0*b)\/(b**3*b)*b**4\/(b\/b**(-1\/2)))**(-48) assuming b is positive.\nAnswer: b**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d + 39. Suppose 0*y - 5 = y. Let l be (-3)\/(-6)*(y + 5). List the prime factors of w(l).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 1, q: 3}. Give prob of picking 3 q and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9683, -12851, -16019, -19187, -22355, -25523?\n\"Answer: -3168*w - 6515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13714 (base 8) to base 9.\nAnswer: 8318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 8*q + 21 + 0 = -13*q, 0 = -2*q - 1 - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {j: 5, o: 7, s: 2, w: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-6))**(33\/7)\/(s*s**(-5))**7 assuming s is positive.\nAnswer: s**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 5*m + 1. Let j(x) = -14*x**2 - 15*x + 3. Calculate -6*j(k) + 17*s(k).\nAnswer: -k**2 + 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 85962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854*1.72.\nAnswer: 1468.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 47 + 139)*(0*n + 0*n - n) + 5*n + 7 - 7.\nAnswer: -93*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549*q**2 - 2 + 459*q**2 + 2.\nAnswer: 1008*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**2\/2 - 7*p + 2. Let h be u(-9). Solve 0 = -h*w + 2*m + 4, 3*w + m = -m + 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a kilometer in meters?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 12*v**3 - 19*v**2 - 65*v + 968. What is the hundreds digit of y(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-15) + 1\/3. Solve 2*i - 2*s + 1 = 9, 3*i + 3*s - 6 = d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v**3 + 24*v**3 - 41*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/4856656 and -37\/16?\nAnswer: 4856656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 0*x**3 - 3*x**3)*(0 + x + 1 - 4*x).\nAnswer: 12*x**4 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2102.9 - -2105.9. Which is the fourth smallest value? (a) -5\/14 (b) -1\/5 (c) 2\/13 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 52092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n + 4*r - 167 = 0, -2*r = -4. Suppose -f - 41 = -2*f. Let c = f + -27. Calculate the remainder when n is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*c + 33. Let o(q) = -q**3 - q**2 + 3*q - 2. Calculate the smallest common multiple of c and o(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10011110001101?\nAnswer: 10011110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-2))\/1*199*(-3104)\/(-1621452).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2580 + -2545. Solve 8*o + u - 19 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 886167\/9989 - 92\/(-28)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 11*n = -5*n. Let a = -38 - -43. Suppose -3*p = -a*m + 7, 4*p = m + 29 - 10. Solve p*t - t = n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 17, -0.4, 2\/9, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-8))\/(84\/448). Suppose -16 = b*a, -8 = 2*y + a - 0. Put 0, y, 1 in increasing order.\nAnswer: y, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**5 + 0*y**3 + (-1 + 0 - 1)*(2*y**5 - 2*y**5 + y**5) + (1 + 3 - 2)*(351*y**5 + 51252*y - 51252*y) + y**5 + 0*y**5 + y**5.\nAnswer: 703*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/1580 and -51\/80?\nAnswer: 6320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + p**2 + 3*p**2)*(-3 + 6*p**3 + 38*p**2 - 38*p**2).\nAnswer: 12*p**5 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 694844 and 37178.\nAnswer: 20150476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*0\/((-2)\/1). Suppose -d + 6*d - 66 = -3*o, y = 5*o - 10. List the prime factors of (3\/d)\/(1\/172).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14194, -14181, -14146, -14077, -13962, -13789?\n\"Answer: 2*s**3 - s**2 + 2*s - 14197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1233*h - 22167 = -47*h + 18793 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Solve 82*w - 35*w - 44*w + l*w**2 = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120958205?\nAnswer: 5, 24191641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 95*q + 1049. Calculate t(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210146.\nAnswer: 2, 179, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -66, -8, 5, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-12)\/(-1248)*13*24\/30*-35\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 16) in base 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 21.77 and 8635 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 0.04, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-191 - 477 - 71 + (-3 + 3 - 1)*(-3 - 2 + 4) + 1 - 2 - 1 + 1 + 0 + 1)*(s**4 - 2*s + 2*s) in the form g*s**4 + f*s + r*s**3 + m*s**2 + k and give g.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, n: 3, p: 3, z: 1}. What is prob of sequence np?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -8. Let q = s + 1. Suppose q*b + 3*b + 13 = 4*n, -9 = -n - 5*b. What is the remainder when 11 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1\/19, -4, 0.3, 0.016, 4 in decreasing order.\nAnswer: 4, 0.3, 0.016, -1\/19, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34201 (base 5) in base 11?\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 11866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.07, 0.7, -76, -2.\nAnswer: -76, -2, 0.07, 0.1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Find the third derivative of b*v**6 - 13*v**3 + 13*v**3 - 5*v**2 wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*r + 130, -4*n - r + 60 + 194 = 0. Let u = n + -61. Find c, given that -4\/7*c**3 + 8\/7*c**u - 8\/7 + 4\/7*c = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((18\/104)\/(387\/(-258)))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3955155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6127 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 31386680 to the nearest 10000.\nAnswer: 31390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.57735391 rounded to 2 decimal places?\nAnswer: -4.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21596.81 - -21597. Which is the smallest value? (a) 6 (b) u (c) -5\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 5\/4 (c) 5\/2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1188, -5042, -11562, -20754, -32624, -47178?\nAnswer: -64422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -318 or 51?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 3, -2, 0.102, 0.3, 18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1021 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 601*n + 9242. Give v(-16).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336129 is divided by 752.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (23 - 52 - 13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134262367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29934 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-2 - -1) - -1. Suppose -15 = b + 4*l, b + 2*l + d = -1. Suppose -b*u = -12 - 8. Solve 12 = u*r - r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -69222485?\nAnswer: -69222470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1230414303 (base 5) to base 16\nAnswer: 2d8235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 5*d - 6. Let l be ((-390)\/(-4))\/(12\/(-24)). Let p = l + 189. Let k(m) = m + 1. Give p*k(y) - w(y).\nAnswer: 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34880 and 2560.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 + 14*c + 671. Let o(u) = -13*u**2 + 57*u + 2683. Let t(w) = -2*o(w) + 9*r(w). List the prime factors of t(0).\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-41754)\/8*(84\/(-9) - -8)?\nAnswer: 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p - 4. Let z be x(-4). Let y = 12 + z. Let q(k) = -12*k**3 + 1. Calculate the remainder when y is divided by q(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.1 + 5. Let u = -0.4 + m. Let w = 0.1014 + 0.8986. What is the nearest to w in u, -5, 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ce6 (base 16) to base 7\nAnswer: -30366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36402*p*w**3 - 4758*p*w - 37*p - 4496*w**5 + 67*w wrt w.\nAnswer: -218412*p*w - 89920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17179 and 3771.\nAnswer: 154611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 2190946 + 2*m + 2190946.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -182a - 1?\nAnswer: -1830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 12*w + 16. Let z(s) = -2*s - 2. Let o(x) = 5*d(x) + 40*z(x). Let l(y) = -6*y - 5. Let h(i) = i + 1. Let p(b) = 5*h(b) + l(b). Determine p(o(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - r + 26 = -16, -45*i - 4*r + 129 = -48*i - 64 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 29. Let n = m + -12.6. What is the biggest value in 3, n, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 8:08 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 15. Let a be i(3). Suppose -2*z + a*z = 2*z. Suppose z*u + 168 = 4*u. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 13*k**6\/12 + 17*k**5\/60 - 116*k**2. What is the third derivative of w(l) wrt l?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -82091698, -82091700, -82091702, -82091704, -82091706, -82091708?\n\"Answer: -2*s - 82091696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/2 - 2\/4. Let k = l + 18. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 314471, -13, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 70956\nAnswer: -141912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19, 293, 1049, 2527, 4967, 8609?\n\"Answer: 40*u**3 + u**2 - 9*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 1)*(-18)\/4. Let f(y) = -y + 13. What is the units digit of f(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkquqqqkqzzzzq. Give prob of picking 2 q and 1 u.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 28 = s, -3*w - 3*s = -2 + 32. Which is the second biggest value? (a) 2 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 534, 52, 189 in descending order.\nAnswer: 534, 189, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-56)*(51\/(-27) - -3)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224\/40*-3*20\/(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, -25535, 4 in descending order.\nAnswer: 179, 4, -25535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/12*3*12\/(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57431782.985327 + 5.\nAnswer: 57431787.985327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89516 - -447581\/5. Factor -a*i**3 - 6\/5*i**2 + 0 + 0*i.\nAnswer: -i**2*(i + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n + 7. Let k(y) = 2*y - 2. Let w = -32 + 30. Let l(t) = w*p(t) - 7*k(t). Let d(h) = -2 + 2 + 9*h. What is l(d(b))?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*x + x. Suppose -5*o = -x*w - 795, 2*o - w - 791 = -3*o. Round o to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**14)**(-36)*(p*p**(-4\/23))\/p*p*(p\/(p*p**(4\/7)))\/p*p assuming p is positive.\nAnswer: p**(-81103\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let g(x) = -41130*x**2 + 2*x - 10. Determine g(f(h)).\nAnswer: -41130*h**4 + 2*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4 + 44*q**3 + 2*q**2 - 44*q = 0.\nAnswer: -1, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -18, -5 in increasing order.\nAnswer: -18, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-24))\/(12\/(-8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0448 in 2\/287, -0.25, 0.4?\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -720.74 - 152.26. Sort 5, -5, 0.1, p in ascending order.\nAnswer: p, -5, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136566 divided by 281?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156990426 divided by 582.\nAnswer: 269743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 16*k - 3. Let a(y) = -y**3 - 24*y**2 - 24*y - 8. Let h be a(-23). Suppose -70 = 10*r - h*r + 5*o, 4 = -4*o. Is z(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p + 446 + 180 = 19*p - 1934 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-2\/5)\/y))\/y)**29)**(6\/19)*(y**(-1\/5))**36\/(y**9\/y**(-4)) assuming y is positive.\nAnswer: y**(-701\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 7*a + 119. Is 5\/((-10)\/(-74791)) - a\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 984*h**2*p**2*v**2 - h**2*p*v + 2*h**2*v**2 - 71*p*v**2 wrt p.\nAnswer: 1968*h**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1694, 5 in decreasing order.\nAnswer: 1694, 5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2093, -4025, -5957, -7889?\n\"Answer: -1932*j - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2877145320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 1466860 - 1466860.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3044.317 rounded to the nearest integer?\nAnswer: -3044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 8*w + 25. What is the lowest common multiple of d(3) and 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188172 - 188172 + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 985, -0.3, 3?\nAnswer: 985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 + 64*o = 0. Calculate o.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a factor of 27601684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 14*t**2 + 2*t + 1. Let d(p) = -2*p**3 + 43*p**2 - 6*p - 3. Let c(s) = 2*d(s) + 6*n(s). Let v be 0 - ((-4)\/1)\/(-2). Calculate c(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-32)\/((m*m**(-40))\/m)*m**(-3\/13)\/((m*m**(-2))\/m) assuming m is positive.\nAnswer: m**(127\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56642.69 litres?\nAnswer: 56642690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 9*k + 5 = 0. Find the third derivative of -64*g**2 - 53*g + 53*g + 12*g**5 - 68*g**k wrt g.\nAnswer: -3360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465166.\nAnswer: 2, 13, 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -401 + 401 - 7*k**2 + k + k**3 to g*k**3 + p*k**2 + q*k + x and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -305 (base 9) to base 3\nAnswer: -100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h**2 + 3*h - 6. Let t(l) = 23*l**2 - 7*l + 14. Let k(s) = 7*j(s) + 3*t(s). Let q(c) = 10*c. What is k(q(d))?\nAnswer: 600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29 from -7886478409.\nAnswer: -7886478380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*v**(2\/5)*v)*v*(v\/(v*v**(-1)))\/v)**21 assuming v is positive.\nAnswer: v**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*r - 4 = 0, -5 = q - 6*r + r. Let p be 32\/8 + q + 0. Let o = p + 1. Which is the biggest value? (a) -3 (b) 2\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i - 58. Let t(j) = j - 5. Calculate a(d) - 3*t(d).\nAnswer: 4*d - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 292.\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -12. Let v be (-2)\/28*(-2)\/1. What is the third biggest value in 2\/13, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298300557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*u + 28 = 0, -7*q - 24 = -10*q + 3*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = 18. Suppose 0 = -4*s - w + 477, -3*s + 8*s - 2*w - 593 = r. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j + 3 - 3)*(5*j - j + 2*j) + 0*j**2 + j**2 - 2*j**2 + j**2 - 2*j**2 - j**2 as o + n*j + i*j**2 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4954304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 0 - (-4 + -4 - -15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 4*a. Let x(d) = 3*d. Let q(f) = 3*u(f) + 4*x(f). Let s(h) be the third derivative of h**4\/24 + 2*h**2. Calculate s(q(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:09 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 664 (base 10) to base 5\nAnswer: 10124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2. Let p(v) = 13*v**2 + 50. Give p(f(o)).\nAnswer: 52*o**4 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 0, 2, -2\/245, 6\/5, -71?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20.16 times -20\nAnswer: -403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 2, -7, 740 in ascending order.\nAnswer: -142, -7, 2, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((228\/(-16))\/(6\/(-4)))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-253)\/(-44) + (-6)\/(-168)*7. Solve -10 = -5*r + t*r + 4*s, 3*r - 2*s + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.5, -3, -9240?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - 5*v, 3*s + 0*s - 4*v - 6 = 0. What is the smallest common multiple of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 - 16*t + 3. Let f(b) = b**2 - 4*b + 1. Let h(o) = -9*f(o) + 2*k(o). What is the units digit of h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278190 < 280575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249*t - 2321*t**2 + 2099*t**2 - 49*t wrt t?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/(3\/(-9)). Let a(t) = 19*t**3 + 2*t**2 - 1. Calculate the smallest common multiple of 2 and a(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4905361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 12, 51, 136, 285, 516, 847, 1296?\n\"Answer: 3*t**3 - 4*t**2 + 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s. Let c(a) = 2*a**2 + 74*a. Determine i(c(o)).\nAnswer: 6*o**2 + 222*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 35838 = 36069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1619b8a + 4?\nAnswer: 1619b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/188400 and -53\/5055400.\nAnswer: 30332400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 43. Let o(m) = -8*m - 6 + 7*m + m**d + 7*m. Determine o(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -40 - ((-110)\/(-20) + -4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 22 = -f + 3*r, 3*r = 5*f + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 690, 2019, 4418, 8199, 13674?\nAnswer: 21155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*c - 1, 8*o - 3*o + 2*c = -12. Suppose 10 = 2*n + 5*a, -5*n - 5*a + 4 + 6 = 0. What is the least common multiple of 15 - (n - -2)\/o and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 286*l - 648*l + 298*l + 64 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5.2 (b) 4 (c) -2 (d) -1\/3 (e) 255 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-12) - (525\/(-2450))\/((-12)\/14). Is v less than 2\/1101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millimeter in micrometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:48 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 + 6*f + 2. Calculate z(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 15*z - 2. Let p(y) = -19*y. Give p(b(x)).\nAnswer: -285*x + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c - 35. Let v(o) = -17*o + 82. Let r(g) = 5*j(g) + 2*v(g). Let x(n) = -7*n + 10. Calculate 5*r(l) + 4*x(l).\nAnswer: 2*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 57 = -85. Let a(o) = o**3 - 6*o**2 - 11*o + 32. Calculate a(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 30. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 2, b: 3, g: 4, r: 6, o: 4}. Give prob of sequence drww.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15826800 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0 + 0)*(-2 - 3 + 3) - 2*q - 2*q + 2*q + 1.\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(4) - -6*sqrt(36)))**2 + 3 + (sqrt(1088) + 0)**2.\nAnswer: 393868\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/23 (b) 0 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 42?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1752302 or -1752300?\nAnswer: -1752300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37, -345, -1241, -3037, -6045?\n\"Answer: -52*m**3 + 18*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -5*h + 5*j, 0 = 13*h - 24*h - 2*j - 149. Let v = -1\/46 + 25\/92. What is the biggest value in -5, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z**2 - 14*z**2 + 1096 - 19*z**2 - 9*z**2 + 50*z**2.\nAnswer: -12*z**2 + 1096","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1777*s + 719 - 3659 = -1973*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - 2*z)*(-6617 + 2 - 47096*z - 1233 + 47094*z).\nAnswer: -2*z**2 - 7848*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 207?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36465 + 84310. What is f rounded to the nearest one thousand?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*o + 5*x, 0 = -365*o + 367*o + 3*x - 55. Calculate the remainder when 24597 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 12*n - 127. Let d be m(11). Solve -v + 4 = -2*j, -3*v - j + d = -0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:10 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*i + 21*i - 76*i + 19*i as m*i + z and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308836 is divided by 1174?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 + -10011010101?\nAnswer: -10010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -1\/6*s**3 + 0 + 0*s + 0*s**5 + 8*s**2 + 2\/105*s**7 + 0*s**6 + 0*s**4. What is the first derivative of w(n) wrt n?\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -49724*r - 2. Let b(p) = p**2. Determine b(t(z)).\nAnswer: 2472476176*z**2 + 198896*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 2*b - 2. Let l(t) = 9 - 9*t + 3*t**2 + 0*t**2 + 3*t**2 - 6*t**2 - 5*t**2. What is -4*l(x) - 18*s(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1259, 10, -8.\nAnswer: -8, -1, 10, 1259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27216344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 64. Which is the closest to r? (a) 0 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 2*r**2 + 5*r - 6094. Let f(z) = 17*z + 20. Give 2*f(d) - 9*h(d).\nAnswer: -2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p - 40005. Let d = 4698 - p. Let w = d + 19735\/6. Find the common denominator of 89\/18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*5 + (21\/3 - 43) and 25\/39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 4*p + 9*p. Let v be (-4)\/(-10) + p + (-23)\/(-5). Suppose 4*u - 32 = 2*c, 4*u - c - 30 = -0*u. Which is greater: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5187, -5297, -5405, -5511, -5615, -5717, -5817?\n\"Answer: i**2 - 113*i - 5075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1. Let p(h) = 4*h**2 - 2*h + 3. Let i(c) = 4*d(c) + p(c). Calculate the remainder when i(2) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 212904286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (-5 + sqrt(539)*-2 - sqrt(539))) + sqrt(539) + 1 + 3 + 3 + 1*sqrt(539) + 2 + -1*sqrt(539) + 5)**2.\nAnswer: 1330*sqrt(11) + 13836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10307 - -1113175\/108. Let z = g + 2\/27. Let v = -3 - -1. Which is the closest to v? (a) -2\/11 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 5:18 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yezy when four letters picked without replacement from rrteetzeyywrtwww.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15.0699*0.2\nAnswer: -3.01398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.3. Let t = 18 - 15. Which is the third smallest value? (a) m (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2 - 8*a**5 - 77*a - a**2 + 82*a wrt a.\nAnswer: -160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.1, 0.76636, 2?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5366 = -583*a - 7460 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 212962463 to the power of 1\/2, to the nearest integer?\nAnswer: 14593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, u: 3, c: 6}. Give prob of picking 2 y and 1 u.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 2 (b) -5 (c) -138940\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 2*i**2 - 9*i + 11*i + 4*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17229*y**2 - 56041*y?\nAnswer: -34458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 21362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*w + 5*h, -2*w - h - 16 = -3*h. Let a(k) = -2*k + 2. Suppose 164 = 3*i + i. What is the remainder when i is divided by a(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 300 = 12*f. Let o be 3 + -5 - f\/(-14). Which is greater: 1\/8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 6 + -1 + -3 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/30)\/((-10)\/50).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-123)\/(-8) - 15 - (-106)\/16. Solve -o = -20*b + 27*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30758169.\nAnswer: 3, 13, 19, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:54 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from ysb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-21)*f*f*f**(1\/9)\/f*f assuming f is positive.\nAnswer: f**(-161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/4)\/(-4*5*7\/(-280)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvve when four letters picked without replacement from {v: 4, i: 1, e: 2, w: 1, c: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30843 = 4*g - 5*w - 21414, -2*w = 2. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*k**2 - 3 as t*k + i*k**2 + g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -953444 divided by -4.\nAnswer: 238361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -13*u. Let a(r) = -79*r. Let m(i) = a(i) - 6*x(i). Let y(g) = 232*g. Determine m(y(d)).\nAnswer: -232*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1248, -2496, -3744, -4992?\n\"Answer: -1248*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 53*y + 22. Let t(z) = -119*z - 43. Let b(f) = -9*i(f) - 4*t(f). What is b(18)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 10*l**3\/3 - 4. Let b(k) = k. Give j(b(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30596, -30546, -30462, -30344, -30192?\n\"Answer: 17*d**2 - d - 30612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 6. Let y(j) = 36878*j**2 - 36876*j**2 - 2*j + 2*j. Give y(l(m)).\nAnswer: 8*m**2 - 48*m + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -46*i + 147*i - 51*i - 45*i. Let a(n) = n**2. What is z(a(o))?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*j - 33, -j + 3 = -2. Let t(k) be the first derivative of k**4\/2 - 4*k**3\/3 + 2*k**2 - 2*k + 10. Give t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*d - 8866 = 19*d - 804 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let f(i) = i**x - 6 + 6. Let y(a) = -1. Let d(l) = -4*l**2 - 5. Let h(j) = -d(j) + 5*y(j). What is f(h(k))?\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 221707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -32. Suppose 6 - 9 = -o. What is the greatest common factor of o and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -19 + 16 + (3 - (4 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, z: 3, x: 5, c: 5}. Give prob of sequence xl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1812*a + 43189. Give k(24).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-185)\/1295 - (-2508)\/14 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3189 and 7\/30.\nAnswer: 31890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54323211.\nAnswer: 3, 17, 47, 131, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**5\/4 - 185*h**4\/2 - 11316*h**3 - 954711*h**2\/2 - 11272527*h\/4 = 0?\nAnswer: -141, -81, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 4474211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 38 = 42. Let j be 8\/((-4)\/n)*-100. Calculate the highest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**3 + 2*y**2 - y. Let o(s) = 21*s**3 + 5*s**2 - 3*s. Let t(c) = -2*o(c) + 5*x(c). Let q(f) = -f**3. What is 14*q(a) + 2*t(a)?\nAnswer: 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-2 + 5 - 1)*(16*a + 12*a - 3*a).\nAnswer: 100*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(75)*1 - sqrt(75)))*-2)**2*-2.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*s + 4*s - 3*v, 4*s - 3*v = 55. Suppose s = 3*b + 7. Solve 3*i + b*i = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 22*l - 72. Calculate i(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*v = 100, -a = v - 27 - 3. Let p = -22 + a. What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -904, -1810, -2716, -3622, -4528, -5434?\n\"Answer: -906*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13027*f**3 + 491198?\nAnswer: 39081*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 15. What is the biggest value in f, 0, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47390 and 34249430.\nAnswer: 6770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*u - 30 = 0, -2*p - 3*u = 2*u + 35. Is (-1877)\/2*(90\/p + 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.00725 centuries to decades.\nAnswer: 220.0725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 - 15*n**2 + n + 5. Let y be x(-5). Suppose 2*c + 1354 = -5*s + 5109, -2*c = y. List the prime factors of s.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 414235 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n\/n**8))\/n*n**(-7\/5))\/(n**22\/(n\/n**(-9))))**13 assuming n is positive.\nAnswer: n**(-351\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708366249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-4)\/(-2))\/1. Suppose 2*n - 6 = 0, m = 3*h + 2*n + 393 - 1506. Suppose -2*q = 4*x - h - 201, 432 = 3*x - 3*q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xax when three letters picked without replacement from pyyxppppaxp?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 29*o**2 - 147*o - 22. What are the prime factors of v(15)?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -4699489?\nAnswer: -4699488.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9794 = -9*t + 17*t - 156*t - 18*t for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 8:57 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*h**2 + 1 - h**2 - 3*h + 3*h + (-2 + 2 + 2*h)*(h - 5*h + 2*h) + 28*h - 551 - 3*h**2 - 549 + 1103 as l + w*h**2 + o*h and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 14*v - 100*v + 2203586. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4217691*d**4 - 3716329.\nAnswer: -16870764*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 - 7*t + 7. Let r be l(5). Let g be (-3)\/(-3 - r\/(-21)). Let a be (-3)\/(99\/6) + g + 7. Sort a, -1\/3, -1\/2.\nAnswer: -1\/2, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/4, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.805 - 0.195. Put -0.4, -2\/7, -6, h in ascending order.\nAnswer: -6, h, -0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -67. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13977*j**3 - 6571*j**3 - 6564*j**3)*(-3 + j + 3).\nAnswer: 842*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 325.2439?\nAnswer: 1300.9756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-45)\/136569)\/(2\/36). Let l = 1455866743\/728368 - o. Let j = l - 1998. Find the common denominator of -43\/14 and j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d - 12, o = -5*d - 13. Solve 7 = o*g - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 2, r: 1, j: 1, w: 1}. Give prob of sequence rj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1540)\/(-44) - 31)*34.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 153*m + 7. Let j(k) = -4*k**2 + 309*k - 13. Determine -6*j(d) - 11*r(d).\nAnswer: 2*d**2 - 171*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*q**2 + 161*q**2 + 210*q - 479*q**2 + 162*q**2 in the form u*q**2 + o*q + y and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 2*r**2 + r - 2. Suppose -6*d - 4 = -2*d. Let b(p) = p - 1. Determine d*w(h) + 2*b(h).\nAnswer: h**3 + 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 6*v**4 - 3*v**5 + 6 - 24*v**2 + 5*v + 16*v - 12 + 6*v**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 6316*q**3 + 9985588*q**2 - 39866592*q + 39841344.\nAnswer: (q - 3156)**2*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -7*c**5 + 0*c**2 + 1\/3*c**3 + 0*c + 0*c**4 - 14. What is the third derivative of s(h) wrt h?\nAnswer: -840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n = -8. Let j = n - -21. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -17. Let t = -5.09 + 0.09. Let r = t + x. Which is the nearest to 0.1? (a) 2\/9 (b) -3\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3, 18, 1\/325?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 4*x + 3. Let w be c(4). Let b = 47 + w. Let z be b\/(-2)*((-2 - 1) + 1). Solve u = z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.47 - -20.5. Let v = i + -0.03. Which is smaller: 2\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x**2 + 357*x - 611?\nAnswer: 2*x + 357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8956 (base 11) to base 9\nAnswer: 17158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.823 and 16.9706.\nAnswer: 37.7936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 28. Give y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 2*j - b, -5*j - 62*b = -59*b - 892. Let d be 13*(2 - (-2 - -2)). Calculate the greatest common factor of j and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - 12\/(-3). Suppose -5*z - 2 = -0*i + i, n*i + 4*z = 11. Let u be i\/(-2)*8\/(-6). Let y(x) = -x**2 + 6*x - 3. Determine y(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**4\/42 + 8*c**3\/7 - 144*c**2\/7 + 37*c. Find f such that a(f) = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/15)*o\/o**(1\/5))\/((o*o*o**(-6)*o)\/o**(-6))*(o**(-1\/4))**(-31)*((o*o\/(o**5*o))\/o)\/(o\/o**(2\/7)*o) assuming o is positive.\nAnswer: o**(-25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 6*n**2 - 2*n - 7. Let s be b(5). Suppose 2 = -v - 4*m, 3*m = -m - s. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40\/2 - (1 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268025891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x = 78*x + 80*x - 500. Solve -24 = -8*c + 3*c - 3*s, -x*s = -2*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3778 + -b?\nAnswer: 3769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 72, 195, 334, 495, 684, 907?\n\"Answer: k**3 + 2*k**2 + 110*k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*q**3*w**3 - 3210*q**3*w**2 + 137*q**3 + 2*q**2*w**2 + 4205*q*w**4 wrt w?\nAnswer: -162*q**3 + 100920*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245075 is divided by 13615.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 9 = 5*d - 4, 5*d = -3*w - 5. Which is smaller: 1\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -20, -22, -22, -20, -16?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226410038.\nAnswer: 2, 113205019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 8*f - 5. Let n(g) = -2*g**2 - 48*g - 31. Let k be n(-22). Suppose -k = -2*h - 43. What is v(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54057 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20547?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkkz when four letters picked without replacement from zkzzkkjzjkzzkzz?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -770 (base 16) to base 2.\nAnswer: -11101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/4 - 14*p**3\/3 + p**2 + 21*p + 940. What is y(-14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*t + 2275, 2*q + 49 = t - 1477. Let b = -738 - q. Solve -3*d = 5*p + b, 3*d - 1 = p - 0*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 15, e: 5}. What is prob of sequence eyyy?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169561532, -339123062, -508684590, -678246116, -847807640?\nAnswer: -1017369162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/300 - j**5\/25 + 3*j**4\/20 + 8*j**2. Find w, given that p(w) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -2 - 0 - (-31 + 29).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 5)*9 + 5. Which is the nearest to -1? (a) 2\/7 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2631 - -2639. Let y(r) = 5*r**3 - r**2 - 6*r + 12. What is the smallest common multiple of y(2) and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*d + 25, -5*d + 7*w + 181 = 146 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 bigger than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 662*r**3\/3 - r**2 - 933*r + 1792. Differentiate p(a) wrt a.\nAnswer: 1324*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.198154cm in millimeters?\nAnswer: 61.98154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -28. Suppose f - i*d = 3*f - 1686, -d = -2*f + 1706. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.01 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - r + 2*r)*(1 - 3 + 4).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.5427 (c) 3.7 (d) -3\/4 (e) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(-1)*501. Suppose 0 = 5*r - j + 52. Suppose -i = -r - 12. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4 + 4041*j**3 + 64113*j**2 + 299799*j + 431244 = 0?\nAnswer: -1331, -9, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11738\/5665 + 146\/103. Let l = u + 5\/11. Sort -4, l, -0.1 in decreasing order.\nAnswer: -0.1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (171 + 22*z - 177 + 12*z)*(4 + z - 4) in the form w*z**2 + a + j*z and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-248)\/4*1*(-11)\/(-22)*1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54\/35 + (-6)\/15. Let x be 11\/(-1) + ((-6612)\/(-95) - 58). Which is the third smallest value? (a) x (b) -0.1 (c) r (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 15 = -5*k, -5*a + 8*k - 3*k + 25 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/6 + 1\/2. Let f be ((-264)\/(-36))\/(s\/(-30)). What is the greatest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3, 239 in descending order.\nAnswer: 239, 3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/24 - u**3\/6 - u**2. Let v(z) be the first derivative of a(z). Let h(m) = 406 - 5*m - 767 + 361. What is v(h(t))?\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*m = -15, 4*m - 24 = -2*o - 44 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.2. Let c = -0.02 + 1.22. Let k = c + n. What is the third biggest value in -5, k, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66348*w + 3 - 7 + 68159*w to k + g*w and give g.\nAnswer: 1811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 173*z + 9. What is the units digit of p(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1288, 2577, 3866?\nAnswer: 5155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2715*c - 56 = -2723*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 5*b + 6. Let m be j(-5). Let t = m + -4. Solve a - t + 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 69697981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1972 and -71\/14124280?\nAnswer: 409604120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482 - 1485 + 2967 + 9*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -580, -1393, -2698, -4591?\nAnswer: -7168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12754875483\/6077 + -2098877. What is the common denominator of t and -51\/2?\nAnswer: 12154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448622 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 o when four letters picked without replacement from gbboobbobbggb.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 838627775 divided by -1.\nAnswer: -838627775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/29998 and -61\/405503.\nAnswer: 229514698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -382\/4493 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 15 = 83. Let q be p\/((-7)\/(-14)*-1). Calculate the highest common factor of q and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-202)\/101)\/((-2)\/3). Suppose 5*u - 26 = -m, -4*u = -0*m - 2*m - 4. What is the highest common factor of m and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302437 (base 9) to base 16.\nAnswer: 2bb13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9496542 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 15. Let y be o(5). Let c(m) = m**2 - 4*m - 3. Let u be (-6)\/27 + (-34)\/9. Let f(h) = h**2 - 5*h - 4. Determine u*f(n) + y*c(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9\/25 of a millisecond?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -340141?\nAnswer: 340146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2, 46 in ascending order.\nAnswer: -4, 0, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, o: 4}. Give prob of sequence oio.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -129, 3, -4 in decreasing order.\nAnswer: 3, -0.3, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v**(6\/5)\/v))))\/v*v*v*v\/(v*v**16) assuming v is positive.\nAnswer: v**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2\/29 (c) 2\/5 (d) 4 (e) 249\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*a + 27, m - a = 4*m + 30. Let q = m + 13. Suppose q*o - 101 = -11. What is the highest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5380 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*16470\/360*(16\/(-6))\/(-4)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11914 = 29*i - 110166. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1385997787*q**3 + 437*q - 1610907 wrt q.\nAnswer: -8315986722*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 40 = 4*u, -13*s + 9*s + 35 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -36. Suppose 0*n - 12 = -n. What is the greatest common factor of p and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/12 and 43\/370768?\nAnswer: 1112304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 5*h**3 + 0*h**3)*(h**2 - h**2 + 2*h**2) + (207 - 207 + 7*h**5)*(-3 + 1 + 3).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126901422 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2 = -5*i, 4*i - 19 = 3*j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 700 + -2801\/4. What is the closest to j in -15, 1\/2, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u**3 - 9*u**2 - 5*u + 7. Let z be 2 - (9\/3 - (-2 + 1)). Let v = z - -6. Let b(i) = -6*i**3 + 4*i**2 + 2*i - 3. Determine v*q(p) + 9*b(p).\nAnswer: -2*p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n**3 + 4*n**2 + 2*n - 2. List the prime factors of b(4).\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18290 + 2450823\/134. Calculate the common denominator of c and 23\/16.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 483*b + 8207. Calculate o(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*((-2)\/(-6))\/(2\/(-4)). What is g in 0 - s*g**3 + 2\/3*g + 0*g**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 372895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + k + 2 = 3*q, -4*q - 2*k = -10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4\/9 + 26*r**3\/3 + 140*r**2\/3 + 808*r\/9 + 176\/3 = 0.\nAnswer: -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25\/7 (b) -0.4 (c) 2 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + 2*c + 1. Let l be x(2). Suppose l = 5*z + 4. Let q be 0\/3 + 1 + -1. Solve -4*g + b = q, z*g - 5*b = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4459, 4479, 4499, 4519, 4539?\n\"Answer: 20*l + 4439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-23)*u\/(u**(8\/9)*u) assuming u is positive.\nAnswer: u**(-215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/(2 - (-50)\/(-24)). Let j(s) = s**2 + 47*s - 310. Let a be j(6). Suppose p - y = -a*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12954\/(-68)*2\/7*(-252)\/(-54). Are -1011\/4 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3606, -14349, -32236, -57267, -89442, -128761?\nAnswer: -175224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -15731464, 0.2, 2, -4 in descending order.\nAnswer: 2, 3\/4, 0.2, -4, -15731464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7797380543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 0.074798095297?\nAnswer: -1.074798095297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, -94, -272, -452, -634, -818?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*j - 9*k + 1990, 4*k = -3*j + 1191. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7231 = 82*g - 85*g, -5*g = -u - 12067. Calculate the highest common factor of g and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9) + (-14)\/(-420).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2187 + -2187.5979. Let r = 0.0529 + n. What is r rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*n + 5 = 69*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/135639 and 91\/72.\nAnswer: 1085112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -108929897.\nAnswer: 108929896.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32039149*n**3*z**4 - 17*n**3*z + 56*n*z - 77*z + 2 wrt z.\nAnswer: 384469788*n**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35244 + 35244.4. Which is the nearest to 18? (a) -0.04 (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-2 + 0 + 3)*(71 + 26 - 39)*(2 + 7*h + 0 - 1) + h + 0*h - 2*h.\nAnswer: 811*h + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:58 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239217?\nAnswer: 3, 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2016216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120434, 240797, 361162, 481529, 601898, 722269, 842642?\nAnswer: 963017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*r = -24 - 4, 0 = -4*d + 2*r + 6. What is the nearest to -2\/3 in -4\/7, d, 5, 10?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 14) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**2 - 28*r - 918. Calculate w(21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g + 22. Let b(u) = 3*u - 22. Let s(a) = -3*b(a) - 2*h(a). Suppose 3*w - 3*i = 6, 3*w + 5*i = w - 10. What is the tens digit of s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*n**2 - 105*n + 105*n + (-2*n - 3*n + 3*n)*(n + 3 - 3) + 2*n - 4*n**2 - 2*n + (-n**2 + 0*n**2 - n**2)*(-4 + 1 + 5) + 3*n - 3*n + n**2.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -340?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h**8*h)*h)\/h)\/h)\/h*h\/(h\/(h**(7\/2)\/h)))\/(((h**(-7)*h)\/h)\/h**2) assuming h is positive.\nAnswer: h**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -43\/5. Let p = 3.6 + -4. What is the second biggest value in d, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*m - 16, 4*m - 6*m = 10. Let j(t) = 59*t**2 + 18*t - 18. Calculate the remainder when 227 is divided by j(u).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463 + 468. Solve 3*y + 7 = -w*g, 3*y + 10 = -g - g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709519411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-62))\/((-724)\/(-246884))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 10*p = -96. Let j = p - -100. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 1. Let h(b) = b - 2. Let x(r) = 4*r - 7. Let q(o) = 7*h(o) - 2*x(o). Suppose 146 = -13*l + 211. Determine l*q(y) - f(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 26. Let l be a(8). Let j(r) = -r**2 + 7*r - 1. Calculate the remainder when 17 is divided by j(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10782 by -6.\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1369.20115007 and -122.\nAnswer: -1491.20115007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/c**7))\/(c*c**(-2\/31)))\/((c*c**(-5))\/c**7) assuming c is positive.\nAnswer: c**(498\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/864 and 71\/252?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 8 + 4*l - 11*l)*(-2*l**3 + 3*l**3 - 9*l**3).\nAnswer: 80*l**4 - 64*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i - 59*i = 16866. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)*j*j**(-4)*j**(-1\/5)*j*j*j\/((j\/j**(3\/4))\/j*j)*(j**3*j**(-1\/8))**(2\/153) assuming j is positive.\nAnswer: j**(-8281\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 563306 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 582770449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 8*u - 3*u)*(9*u**2 - u**2 + 2*u**2).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -148*l + 151*l - 54. Suppose 0 = -2*d + 3*s + 18, d - 4 = s + 3*s. Let k be -52*6*(-9)\/d. What is the greatest common divisor of l and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.9 and -0.2.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 12*c**2 - 13*c + 16. Calculate h(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10811573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4 and -101\/68414.\nAnswer: 136828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -244\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 579711693 and 12573?\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 + h**2 + h**3)*(2 - 5 - 2) - h**3 + 3*h**3 - 3*h**3 + 0*h**3 + 0*h**3 + h**3 to the form j*h + d + g*h**3 + v*h**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*h)*(-9*h - 6*h + h) + 0 + 0 + h**2 + 39 - 39 - 32*h**2.\nAnswer: -73*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*k**2*t**2*z**2 - k*t**2*z + 4*k*t**2 + 8*t*z**2 wrt k?\nAnswer: 328*t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 + 136. Suppose 3*d - 17 = -l, 4*l - 41 = -b*d - l. Suppose -d*x - 243 = -p, p - 2*x + 42 = 279. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.26 rounded to one decimal place?\nAnswer: -25.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2.9. Let q(d) = d**3 + 20*d**2 - 19*d + 39. Let y be q(-21). Which is the biggest value? (a) v (b) y (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1009150, 1009151, 1009152, 1009153?\nAnswer: 1009154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -50.5. Let f = q + -8. What is the nearest to 1 in f, 1\/5, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let m(t) = -27*t + 8. What is m(r(i))?\nAnswer: -27*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -7*a - 6. Suppose -a*i + 131 = 3*d, 3*i + 3*d - 260 = -59. Let f(z) = 2*z**2 - 2*z - 6. What is the remainder when i is divided by f(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 take away 3.5?\nAnswer: -237.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1824, 7188, 16102, 28572, 44604, 64204, 87378, 114132?\nAnswer: 144472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + ((-2 - 0) + 2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -44.63. Let j = 0.13 - m. Let t be (4 + (-23)\/6)*8. What is the nearest to 1\/4 in -0.4, j, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -86. Suppose -25*h + 24*h = -b. What is the greatest common divisor of h and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 4 + -8 - -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6900 is divided by 459?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107.6 - -108. Put 1, v, 4, -1 in ascending order.\nAnswer: -1, v, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111131 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 317, -32, -901, -2524, -5135, -8968?\n\"Answer: -39*f**3 - 26*f**2 + 2*f + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.72928 - 30735.\nAnswer: -30724.27072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z**2\/z)\/z)**50\/(z\/(z\/(((z*z\/(z\/z**(-1\/3)))\/z)\/z*z*z*z)))**(-12) assuming z is positive.\nAnswer: z**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-112)\/14)\/(1\/2))*4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -k, 5*z + 19 = k - 11. Suppose -k*u - 6 = -7*u. What is the tens digit of (3\/u)\/(4\/372)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296772 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 6. Suppose 2 - 10 = 4*y. Let c = y + 5. Let n be (1\/c)\/((-2)\/(-24)). Determine x(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q\/q**4*(q\/(q\/q**(-1)))**44*(q**6*((q*q**(1\/6))\/q)\/q)**(2\/5) assuming q is positive.\nAnswer: q**(-749\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 - 52 = d. Let j = 1172 + d. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/15*(-5220)\/(-290).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17097018 is divided by 1037?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 537*n**4*t - 262*n**4 + n**3*t - 124*n**3 - 55021965*n**2 - 5*t wrt n?\nAnswer: 12888*n*t - 6288*n + 6*t - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -55509 and -0.15.\nAnswer: -55509.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395564.\nAnswer: 2, 598891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5, -t = -4*t + p + 41. Let x(s) = -s**3 - 4*s**2 - s + 5. Let a be x(-3). Let o be (1\/a)\/((-3)\/t). What is the highest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5 - 420*t**4 + 828*t**3.\nAnswer: 3*t**3*(t - 138)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/6)\/(1\/(-382)). Let n(g) = 5*g**2 + 3*g + 94. Let q be n(-7). Let u = q + a. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61883955, -123767912, -185651869, -247535826, -309419783, -371303740?\nAnswer: -433187697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + 9. Let i be (m\/(-39))\/((-2)\/15). Factor 48*d**2 + 42*d**4 - 32*d + 120*d**3 - 9*d**i + 21*d**5 + 26*d**4.\nAnswer: 4*d*(d + 2)**3*(3*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1183?\nAnswer: -3549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3839637 divided by -953\nAnswer: -4029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1133987\nAnswer: 113398.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4 - 427*v**3 - 8597*v**2 - 28877*v - 20706 = 0.\nAnswer: -406, -17, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3, k: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 10:18 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1363046 (base 8) in base 15?\nAnswer: -79833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421 is divided by 175?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52525218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 4:17 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 29538.\nAnswer: 37\/29538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*p = -15, 5*i + 2 = -5*p + 17. Suppose f**2 + i*f - 3\/2*f**3 + 1\/2*f**4 + 0 = 0. Calculate f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1650 and 1543839?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 27. Let t(r) = r**3 - 9*r**2 + 7*r + 9. Let l be t(p). Is 2\/21 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/70)\/(117\/(-4641)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*z**2 - 55 + 111 - 52)*(-68 + 3*z + 68) in the form m*z**2 + o*z + j + g*z**3 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**2\/2 - 2. Let u(b) be the third derivative of b**4\/6 + 2*b**2. What is u(a(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -1 - (-48 + 47) - 24?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 19. Let b = 10 - f. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606449.\nAnswer: 606449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 + 9*k + 5. Give m(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-45)*-1)\/(223\/(-2230))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a87 + -96c4?\nAnswer: -c47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v - 27. Let m be k(-9). Let y = 22 + m. Suppose -2*w = -0*w - y. Is 57 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 749168 and 77.\nAnswer: 8240848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111153, -111175, -111223, -111297, -111397, -111523?\nAnswer: -111675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1211870 and 1058?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -107584*m**3\/3 + 323408*m**2\/3 - 1969*m\/3 + 1.\nAnswer: -(m - 3)*(328*m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -433.1, 5, -2\/3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000083345 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*m. Suppose 4*p - j - 3 = 2*p, -2*j = 2*p - 6. Let k = p - -5. Calculate the lowest common multiple of m and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1153, -761, -121, 773, 1927, 3347, 5039, 7009?\nAnswer: 9263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10812592 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t\/t**7)\/t)\/(t\/((t\/t**3*t)\/t))*t\/(t**(-6)*t)*t*t\/((t\/t**(-12))\/t) assuming t is positive.\nAnswer: t**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 121*r + 33. Give p(-61).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 691582 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 3*k**2 + 5*k + 57. Let v be p(5). Solve -v + 14 = 3*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 98283*f**5\/2 + 4346715*f**4\/2 - 11138268*f**3 + 17260404*f**2 - 8861160*f + 1440600 = 0?\nAnswer: -49, 70\/181, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 3*a - 117. Does 19 divide x(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-8 - (4 + -17)) - (-1 + 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 556085 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - b**2 - 371*b - 3*b**2.\nAnswer: 2*b**2 - 371*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/9)\/(h*(((h**(-24)*h*h*h)\/h)\/h)\/h))\/((h*(h**4*h)\/h)\/(h*h**7)) assuming h is positive.\nAnswer: h**(235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1118257 and -71?\nAnswer: -79396247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*p + 6, 9*x + 3*p + 2 = 4*x. Suppose -27*y + 161 = -244. Suppose -18*w = -y*w + 6, 2*b - 24 = 3*w. Calculate the remainder when b is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93.48? (a) 5 (b) 2 (c) 0.684\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901338?\nAnswer: 2, 3, 150223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x - 9. Let r(b) = -b + 2. Calculate -26*r(z) - 6*y(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 11. Suppose -3*y = g*u - y + 10, y + 5 = -u. Suppose x - 9 = -u*x. What is the highest common divisor of 36 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10903244 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1178, 993, 900, 905, 1014, 1233?\nAnswer: 1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0846, 3, 195\/7, -15, 0.3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1554?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 447*o**2 - 305*o**2 to c*o + h + u*o**2 and give u.\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204 - 35. Is w a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1795.\nAnswer: 10770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13260929 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -272 - -272.0000396. What is k rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**2\/2 - 7*h + 5. Let i be g(8). Find the third derivative of -5*v**3 + i - 1 + 17*v**2 - 20*v**2 wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + o + 5. Suppose -191 = 5*c - 4*k, -4*c - 2*k = -3*k + 144. Let p be (-10)\/c - (-4)\/(-14). Determine y(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/15)\/((-5)\/(45\/(-6))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 645650 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 40 - -2 - -16 - -18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -772*w**2 + 5*w + 8. Let c(t) = -t**2 + t - 1. Let k(p) = -5*c(p) - z(p). Let n be k(7). Round n to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/2? (a) -2\/9 (b) -2\/3 (c) -1\/822 (d) -3\/7 (e) 4 (f) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/65885464 - 5724096169573\/988281960. Let q = -5786 - d. What is the common denominator of q and -2 - (-435)\/72 - 20\/5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - w + 4*w)*(1 + 0 - 7)*(0 + 0 + 3).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5\/5 + 312*z**4\/5 + 1308*z**3\/5 - 1248*z**2\/5 - 5184*z\/5 = 0.\nAnswer: -4, -2, 0, 2, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 2. Let k be ((-2)\/3)\/((-6)\/45). Let r be h(k). Suppose r*l - 6*l + 18 = 0. Solve l = -4*c - 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/6)\/((-2)\/(-36)). Let y be t\/21 + 0 + -1. Let r = 1281.8 + -1281.7. Sort -4, r, y.\nAnswer: -4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 + 20*n**4 - 222*n**3 - 2440*n**2 - 2200*n = 0.\nAnswer: -10, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4505257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1bac7 - d?\nAnswer: -1bad5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 24 = -3*t - t, -4*u + 3*t + 59 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -6)\/(-5) + 4. Suppose 7*t - 40 = h*t. Suppose d = -4*a + 12, -3 - 13 = -d - 2*a. What is the highest common divisor of d and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -653*l - 162546. What is p(-250)?\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-207)*(-32)\/(-80)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 98, 149, 202, 257, 314?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3177, 3176, 3175, 3174?\n\"Answer: -g + 3178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*10\/(-200)*-15*4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24785 - -24839. Solve -5*n - 2*w - 63 + v = 0, 2*n + 12 = 2*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-756)\/(-255) + 82\/(-41). Which is greater: -3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.075494 and 3.4.\nAnswer: 37.6566796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**2 + 5*v + 7. Is r(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58985 is divided by 5353?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152114 (base 10) to base 11.\nAnswer: a4316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 14 = 3*b, 0 = -3*x - 6*b + b + 26. Suppose -585 + 3968 = 3*y - 2*s, -x*y - 5*s = -2230. Let h = y - 174. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -566, -1183, -1800, -2417?\nAnswer: -3034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 9 + -12 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**5\/20 - f**4\/8 + 3*f**2\/2 - 3. Let c(d) be the second derivative of s(d). Factor c(v).\nAnswer: 3*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o. Suppose 12 = 2*p + a + 3*a, -3*p - a + 8 = 0. Let h(t) = p*t + 0*t + t + 0*t. Give j(h(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 1. Calculate n(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 1.09?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -137 (base 13) to base 10\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, s: 4, i: 1, f: 3, v: 2}. What is prob of picking 1 s and 1 f?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 230 (base 8) to base 15\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/26*(-234)\/(-1242).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/12)\/((-24)\/186784) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 smaller than 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3216 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - n + 4 = -0*m, 5*m = 4*n + 2. Suppose -3*t - m*z + 985 = -502, -4*t - 2*z = -1982. Let s = 794 - t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6511368.91 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*u - 4 = 0, -2*u - 2 + 8 = 4*i. Suppose -j = -3*w + 7, -2*j = -4*j + 10. Calculate the least common multiple of w and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7488 and 1374532224.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94232*r**3 - 39*r**2 - 765*r wrt r?\nAnswer: 565392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**5 + 19*d**4 + 27*d**3 + 25*d**2 + 6*d - 4. Let o(b) = -b**4 - b**2 + 1. Let z(v) = 4*o(v) + w(v). Factor z(s).\nAnswer: 3*s*(s + 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -900 - 414. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93 - 0 - (2524 - 2482)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 4:28 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*h - 26. Suppose d + d = 4*g - 18, h*g = 2*d + 14. Solve 6*m - m + 8 = -3*o, 0 = -m - g*o - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 + 3*j**2 + 4*j**2 + (3 + 0 + 0)*(6*j - 4*j - j)*((1 - 4 + 1)*(-2 + 2 + j) - 6*j + 5 - 5 + 0*j + 2*j + j + 0*j + 4*j - j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.5 + -8.2. Let s = -0.08 + 0.13. What is the smallest value in 0.4, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592616 is divided by 501?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 108. What is the remainder when h(32) is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 5 (c) 6\/59 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*d*q**2 - 1926642*d + 20011*q wrt q.\nAnswer: 32*d*q + 20011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/238 and 83\/170?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.622 (b) 0 (c) 3.3157 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 + 60 + 91)*(3*k**2 - 2*k**2 + 0*k**2).\nAnswer: 82*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 737524756 a multiple of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-162))\/(14\/6 + -2). What is the nearest to -0.1 in r, -2, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -17*c**2 + c + 3. Let n(z) = 6*z**2 - 1. Let x(m) = -11*n(m) - 4*r(m). Let a(k) = k**3 - 24*k**2 - 6*k + 147. Let d be a(24). What is x(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17600503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21358, -22193, -23582, -25519, -27998?\nAnswer: -31013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1152)\/3584)\/(36\/(-294)).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(22) - sqrt(352)))\/(5*sqrt(11)*2).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 - 2*j**2 - j. Let i be h(-1). Suppose -5*v + 8 = 3*u, 10 = -3*u - i. Let f = 7 + v. What is the remainder when 21 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + 25 - 52 - -15?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 5*t**2 + 2*t + 1. Let h be u(-2). Solve 0 = 2*p + 7 - h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*3\/18*8. Let l = 9 - g. Let d be 2\/4 - l\/(-2). Solve 6*z + 3*o - d = 2*z, -o = 5*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6707 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -821+-1\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*v**3 + 41*v**3 + 2 - 2 + 49*v**3 - 128*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -36)*6\/(-15). Let b = -3 + a. Suppose -r + 2*o + 0*o + 48 = 0, 122 = 3*r + 5*o. What is the highest common factor of b and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + i + 22040001 = 0, 4*x - 17632005 = 592*i - 587*i. What is x rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 798000.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1469, 2149, 0, 3, -6 in descending order.\nAnswer: 2149, 1469, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*g + 11. Let v = g + -14. Suppose v = -d + 4, -4*w + d = 20 - 140. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = 3*x - 13*y, -305 - 951 = -3*x + 58*y - 96 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-4.557.\nAnswer: 22.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372 is divided by 300.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-22)*v**(-2) assuming v is positive.\nAnswer: v**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 7\/((-21)\/34). Suppose a = -3*a + s. Solve a*o + 2 = 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*0.48\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*x, 2*x - 2*b = -x. Suppose 0 = p - 2 - x. Solve t - 18 = 4*t - 3*o, 3*o = -t + p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4675 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*z - 2*z**3 - z**2 + 0*z**3 + 69301*z.\nAnswer: -2*z**3 - z**2 + 68701*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260658 and 106194?\nAnswer: 2867238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921010 is divided by 801.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(5) - sqrt(20)\/(sqrt(4)*2)) + sqrt(5) + 0 + sqrt(5) + -2)*3)**2.\nAnswer: 135*sqrt(5) + 1449\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 5) to base 12\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 + 7*f - 10. Let i be v(4). Suppose -2\/7*w**i + 0 + 2\/7*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7195326 divided by 4306\nAnswer: -1671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.9 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, -132, -3, 8 in descending order.\nAnswer: 8, 1, 0, -2, -3, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (57\/(-190) - 189\/(-30)) + -4. Solve -t = 3*q + 22 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5915 or 4861?\nAnswer: -1\/5915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2004886721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 401563081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (88*u + 38*u + 67*u)*(13*u**2 + 20*u**2 - 15*u**2) to b + s*u**2 + h*u**3 + o*u and give h.\nAnswer: 3474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/54 - 100\/(-36). Let m(r) = -10*r + 7. Give m(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4643845?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 3316*j + 432475. Determine h(136).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*k + 242 = -364*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/(-10) - (1062\/(-45) + 24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3280 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l - 7. Let q(o) = -4*o + 11. Let v(s) = -7*i(s) - 5*q(s). Let y(d) = 2*d + 12. Let a(h) = -9*v(h) - 4*y(h). What is the tens digit of a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1896089843 plus -576.362?\nAnswer: 1896089266.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406918, 813333, 1219746, 1626157, 2032566?\nAnswer: 2438973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.3, 0.12 in decreasing order.\nAnswer: 0.12, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 3.6\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043342401 rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -104, -2208, -4 in descending order.\nAnswer: 6, -4, -5, -104, -2208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away -10.052?\nAnswer: 9.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17b5b6 (base 12) to base 15\nAnswer: 82950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25908 + 25913. Let z = 2.9 + -3. What is the second biggest value in j, 4\/7, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 588 = -224. Let s = -32 + v. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*o + 3 = -4*o, 5*q - 3*o + 15 = 0. Let u = -8 - q. Let l = 2755 + -2755. Sort u, -0.2, l in increasing order.\nAnswer: u, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 12:47 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 56. Let b(v) = -44652*v. Give b(u(t)).\nAnswer: 89304*t - 2500512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*p + 1541609 + 957323 = -6464103. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.225454 meters to millimeters.\nAnswer: 3225.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bod. Give prob of sequence bo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*c, 2*c + 11 = 3*s - 11. Let p = s + 0. Solve 0 = -p*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 24*y - 181. Let c be s(8). Solve -c*p - 27 = -5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*v + 6331 - 71, 0 = -5*q - 4*v + 6215. Let n = 1779 - q. What is n rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10470619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25325 divided by -5065.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(2 - (-3)\/(-2)). Let a = 65 + -40. Let k be 1\/(-6) + a\/6. Solve m*n = k*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 830177910 to the power of 1\/2, to the nearest integer?\nAnswer: 28813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -202 + 205. Which is the fourth biggest value? (a) 84 (b) 0.1 (c) h (d) -1\/2 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -79\/3 (b) 3\/8 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 147473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2420.0993 + -2420. Round q to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l = 20*l - 38 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**3*y*y*y*y**(-2)*y*y**(-2\/7)*y**7 assuming y is positive.\nAnswer: y**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 358 and 4?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 9) in base 8?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 836285?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 2*n**6\/3 - 4*n**4 - 8*n**3\/3 + 6*n**2 + 8*n + 21. Solve r(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-27 - -13 - -14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 6*q - 13. Let j(a) = -a**2 - a + 1. Let z(u) = j(u) + v(u). Let p be z(-6). List the prime factors of (p\/18)\/(2\/6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v - 685 = 0. Let p = 26 - v. Let y be (p\/(-9))\/((-2)\/(-6)). What is the highest common divisor of 185 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11)*w)**(-10\/11) assuming w is positive.\nAnswer: w**(100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i + 5*s = -150, s - 2 = 0. What is the common denominator of 156\/i - 6\/(-4) and -21\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 6:41 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-5) + (-3)\/(-1). Let a be (6\/u)\/((-8)\/(-36)). Suppose -4 = -4*h + a*h. Calculate the smallest common multiple of h and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 2*h**3\/3 + h**2\/2 + h. Determine b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98731582 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 402 = 146. Suppose -2015*b + 1329*b = -30184. What is the least common multiple of b and x?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11790*j - 9239 = -444846 + 30368 - 431851 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*u**2 + 2*u**3 - 18*u**2 + (2*u**2 + 13*u - 4*u**2 - 15*u)*(2*u + 4*u - 4*u) as p*u**3 + f*u**2 + b*u + z and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*(-124110)\/39400.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -42, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. What is the closest to o in -2\/3, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g + 49. Give o(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x - 14076 = -39*x. What is the highest common factor of x and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*p*w - 99*j*w - 152*j + 2*p*w - 2122*p - 21*w wrt j?\nAnswer: p*w - 99*w - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1676\/7 + 239. Which is the third smallest value? (a) -1 (b) u (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - 8. Let q(i) be the first derivative of i**2\/2 + i - 19. Determine l(g) + 6*q(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1284 - 1255. What is the remainder when 118 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/3520*-16*(5 - 2 - 7 - 81).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617, -622, -629, -638, -649, -662, -677?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 2087*l + 0.\nAnswer: -2087*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/3)\/(245\/210). Suppose -6*w + w = -p*d - 244, -47 = -w + d. Calculate the remainder when 79 is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -243 + -23a?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3325 - -3323.91. Put b, -1\/2, 0.5 in ascending order.\nAnswer: b, -1\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/6 (b) -2\/3 (c) -12 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 84.917 and 0.27.\nAnswer: 85.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85179\/4 > 21296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 7*a**2 - 8*a - 2. Let z be i(8). Let h = -2472 - -2474. Put h, 33, z in descending order.\nAnswer: 33, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 512, 1021, 1530?\n\"Answer: 509*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3068220 and 3180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2002*a - 2275*a = -2184 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Let m(d) = -d**3 + d + d**2 + h*d + d. Let j(z) = -z**3 + z**2 + 3*z. Suppose -58*o - 24 = -54*o + 2*q, -5*q = 0. Calculate o*m(w) + 5*j(w).\nAnswer: w**3 - w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opf. What is prob of sequence ofp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51998591.\nAnswer: 47, 599, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 + -100?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2067 * -41646\nAnswer: -86082282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107251\/23 + 4664. Is 2 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 865605592 - 865605696.0000486. Let s = o + 104. What is s rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.9, -1, -6\/65, -3\/4, 0.00172?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5 + 1 - 4*x - 4 - 3 + 5*x**2 + x**2 - x**3. Give h(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 21 = -5*o, 0*o + 3*x = 5*o - 13. Is 3 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/(-16)*(0 + (-28)\/5). Solve -6*q + 2*q = 20, -3*r + 4*q = -h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c + 5*c**3 + 19*c)*(-3*c - 3*c + 0*c + (5 + 0 + 0)*(2*c + c + 0*c)).\nAnswer: 45*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 44 = -4*t. Let f = t - 0. Let m(x) = x**3 - 7*x**2 - 9*x + 11. Let z be m(f). Let l(k) = 2*k - 4. Calculate l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 102.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 329 = -357 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 77*o**5\/480 + 61*o**4\/192 + o**3\/4 - 393*o**2. Let g(t) = 0. Calculate t.\nAnswer: -3\/7, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274393*0.2.\nAnswer: -54878.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2596*i**3 + 2597*i**3 + 0*i**2 - 4 - 305*i - i**2 to the form h*i**2 + x*i + q*i**3 + p and give x.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78975190 is divided by 963112.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.88 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/22*(-14)\/(-7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10) + (-5798)\/(-3345)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/9))\/s)\/s**18 assuming s is positive.\nAnswer: s**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16715640?\nAnswer: 2, 3, 5, 139297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 247*a - 61762 + 44966 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5858633 is divided by 976418.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69452128793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2171878054 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 + 0*y**4 + 0*y**4)*(-2*y - 3*y + 4*y + 73*y + 78*y - 97*y - 5*y + 2*y + 2*y + (2 + 1 - 4)*(-3*y + 3*y + 2*y)).\nAnswer: 50*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 3*l + 2. Suppose -3*s + 3 = -3. Let i be (-4)\/4*(1 + s). Is k(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2 - 4*d**3 - 4*d**2 - d**2 + 2*d + 2*d + 4 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 30*a**2 - 261*a - 432.\nAnswer: 3*(a - 16)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ba (base 14) in base 15?\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -55*m - 47*m + 196*m - 57*m - 51*m. Let z(x) be the second derivative of -x**3\/6 + x. Determine i(z(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 308624216 to the power of 1\/3, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.843 to one dp.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z\/(z*z**(-3\/7)))\/z)*(z**(1\/5)\/z*z)\/z*(z*z**(1\/3)*z)**(-6\/13) assuming z is positive.\nAnswer: z**(-139\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 549623, 1 in descending order.\nAnswer: 549623, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csss when four letters picked without replacement from {c: 4, s: 14}.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/8, 2.1, -1 in decreasing order.\nAnswer: 2.1, 2, 1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.016 - -23.016. Let k = a - 23.000015. What is k rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1319, -2637, -3941, -5225, -6483?\nAnswer: -7709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 303, 603, 903, 1203, 1503?\n\"Answer: 300*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2. Let u(y) = y**2. Let r(b) = -2*q(b) + 3*u(b). Let p(i) = 55*i**2. Calculate r(p(w)).\nAnswer: -3025*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28172669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 243481944 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -3*p - 114, 0*i - 20 - 32 = 51*p - 50*p - 4*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3826, 7656, 11496, 15352, 19230?\n\"Answer: f**3 - f**2 + 3826*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 3*h - 2*h + h. Let t(d) = -6*d**2. Give t(v(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 242 = -2*m, -m = 4*m - 4*j - 619. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980656749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -561901\/24 - -23407. Find the common denominator of j and 68\/417.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7165854, -7165849, -7165834, -7165803, -7165750?\n\"Answer: m**3 - m**2 + m - 7165855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512354 and 3821527.\nAnswer: 2641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2855 times -2.945\nAnswer: -8407.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -45104 (base 6) in base 14?\nAnswer: -2424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -418, -417, -416, -415, -414?\n\"Answer: m - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 9, 5, -10861, -2 in decreasing order.\nAnswer: 9, 5, 1, -2, -8, -10861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4504, 3, 8, -4 in ascending order.\nAnswer: -4504, -5, -4, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 + 3*b + 2. Let w be f(-2). Suppose 2*t + 10 = 7*t. Solve t*h + 2*h - w = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13344\/(-1408))\/139*(-6)\/9?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - g**3 + 0*g**2 - 8*g**2 + 4*g**2 to the form o*g + a*g**3 + p + l*g**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -3*u**5\/40 - 11*u**4\/48 + 5*u**3\/6 - 3*u**2\/8 - 80*u. Let q(p) = 0. What is p?\nAnswer: -3, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34265 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -75645.78 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30704304.\nAnswer: 2, 3, 19, 131, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 19 (c) 0 (d) 5 (e) 2\/2999 (f) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, y: 7, w: 3}. Give prob of picking 1 a and 2 y.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -702295 divided by 28.\nAnswer: -702295\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19275703.\nAnswer: 1223, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 11, 1\/197, 0.3, -10 in descending order.\nAnswer: 11, 1, 0.3, 1\/197, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b**4 + 0*b - 1\/255*b**5 + 27*b**2 + 7\/1020*b**6 + 0 + 4\/1785*b**7 + 0*b**3. Factor s(y).\nAnswer: 2*y**2*(y + 2)*(4*y - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 4*r**2 + 4*r - 2. Let w(p) = 2*p**3 - 9*p**2 + 9*p - 5. Give -9*h(g) + 4*w(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*m + 11. Solve 3*x = 7*x - 5*k + m, 0 = -2*x - 5*k + 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let z(j) = 11*j**2 - 4*j + 2. Give -6*h(w) - z(w).\nAnswer: -11*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = -4*l, -5*l - 13 = -7*k + 6*k. Solve 12 = -5*m - k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/28 and 63\/128.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 5*t**2 + t**2 - 4*t**2 + 2*t**4 to n*t**4 + r*t + z*t**2 + d*t**3 + j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f - f + 3*l, f - 1 = -4*l. Let o be 9\/(-3)*f + 7. Solve -o*u = q + 19 + 2, 2*q - u = -6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64461211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3397184308?\nAnswer: 2, 7, 17332573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-74)\/(-8))\/((-6)\/(-24)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15159 divided by 3\nAnswer: -5053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4) - 20*(-10)\/(-160).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 118\/(-8) - (-11)\/(-44). Let n = d + 25. Let f(b) = -1 + 1 + n*b**2 - 11*b**2. Let o(m) = 7*m. What is f(o(p))?\nAnswer: -49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2381, 18802, 63365, 150140, 293197, 506606, 804437?\n\"Answer: 2345*r**3 + r**2 + 3*r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3162 and 8404086?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65907\/46379)\/((-9)\/(-114)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 - (504 - 498) - 7\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1140 and 46260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201 + 2011\/10. What is the second smallest value in 0.5, -2\/17, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 5. Let b(l) = -5*l - 16. Let o(a) = -15. Let w(r) = b(r) - o(r). Let h(d) = 4*d + 1. What is m*w(x) - 3*h(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-16))\/(11\/(-88))*(-3)\/99?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 15, -6*a - 5*p + 57 = -3*a. Let y(v) = v**2 - 12*v + 32. List the prime factors of y(a).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.83 less than -22263.93?\nAnswer: -22101.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 + 4*l**2 - 3*l. Calculate the remainder when z(2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-248)\/6*108\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -354\/7 - -4045\/84. Calculate the common denominator of y and -68\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4.9. Let p = 0.7 + r. Round p to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (127\/(-3))\/(26\/78). Let o = -127 - z. Is 170 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*r - 12, 0 = -3*u + 8*u + 20. Let s = 1 + r. Suppose -4*a + 13 + 119 = s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/4 - 2453*m**3\/4 + 112429*m**2\/2 - 876990*m = 0.\nAnswer: -2542, 0, 20, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000981 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**3\/3 + 612. Let j(b) = -b - 104. Calculate d(j(g)).\nAnswer: g**2 + 208*g + 10816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62636 (base 7) to base 15.\nAnswer: -4878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 0*f**7 + 0*f**3 + 0*f**4 - 9*f**2 + 1\/336*f**8 + 0*f**5 + 0 + 0*f + 0*f**6. Factor w(b).\nAnswer: b**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000000011 (base 2) to base 8.\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29836 - 173560 = -21*y. Round y to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2041 and 20567.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2 - 103*o + 1. Let c be s(27). Calculate the highest common divisor of 23 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 1175*p**6\/3 - 392*p**3 + 3021. Find the third derivative of h(i) wrt i.\nAnswer: 141000*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 59 = 5. What is the smallest common multiple of 16 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 353.6689ml?\nAnswer: 0.3536689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 459 - 451. Suppose 0 = b*p + 49 - 185. Calculate the remainder when 1\/((-597)\/(-297) - 2) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 4*y**2 - 5*y + 8. Let u be g(6). Suppose -3*w = -2*s + 22, -2*s - s + u = 4*w. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/sqrt(27) + sqrt(51) + sqrt(357)\/sqrt(448))\/((4*(sqrt(30) + sqrt(750)))\/((-2*sqrt(100) + sqrt(100) - sqrt(100))\/sqrt(10))))**2.\nAnswer: 20825\/82944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/1610 and 97\/140.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -250 (b) -8\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from ddkadkakkadakakxabkk?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**5 + 11*a**4 + 24*a**3 - 40*a**2 + 3*a - 71. Find y such that h(y) = 0.\nAnswer: -5, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 397*g + 34454. Give l(-78).\nAnswer: 3488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/11 and -151\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzyy when four letters picked without replacement from {p: 1, z: 4, y: 1, w: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13966877 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i + 6. Let m be t(10). Suppose 4*r - 7*r - 2*y + 42 = 0, 5*y = 4*r - m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1234627 (base 8) to base 14.\nAnswer: -8cb0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w. Let b(r) = 7680*r**2. Give p(b(d)).\nAnswer: -53760*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.432493kg to grams.\nAnswer: 1432.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*g + 40 = 0, -12*r + 2*g = -11*r - 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 164 + 1?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 - (-1 + 15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33779.563+-0.3301882\nAnswer: -33779.8931882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -4. Let b = -11 + 21. Let l be (-4)\/(-10)*b + -2. Which is smaller: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36471 - -36474. Find u, given that -4\/15*u**2 - 2\/3*u**m + 28\/15*u**5 + 22\/15*u**4 + 0*u + 0 = 0.\nAnswer: -1, -2\/7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**3 + 40*h**2 + 30*h. Let c(w) = -w. Let s = -359 + 360. Let t(n) = s*r(n) - 6*c(n). Factor t(p).\nAnswer: 4*p*(p + 1)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g - 8. Let b(l) = -305*l. Give w(b(s)).\nAnswer: -915*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2967407 to the power of 1\/2, to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 8*s**2 - 3*s - 5. Let b(j) be the second derivative of j**5\/10 + 7*j**4\/12 + j**3\/3 + 2*j**2 - 138*j. What is 3*b(k) + 2*t(k)?\nAnswer: 2*k**3 + 5*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14799173 and 6.645?\nAnswer: 14799166.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - (-1 - (83 - 30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10) - 845\/25. Let q be 8\/10*(-11645)\/x. Calculate the remainder when q\/4 + 3\/2 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40124538 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 27*b**2 - 54*b - 1454. What is k(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + -0.88. Let z = k + -3. Let x = -30.3 - -30.7. Which is the closest to 0? (a) z (b) x (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 22. Let t be w(0). What are the prime factors of ((-78)\/(-4))\/(t\/44)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*n**2 + 140*n**2 - 13163*n - 57*n**2 + 13163*n.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -320\/13 or 0.0977?\nAnswer: -320\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7296825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100.8, -11, 1, 2, 2.2, 0, 0.3 in decreasing order.\nAnswer: 2.2, 2, 1, 0.3, 0, -11, -100.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (20 + 23 - 13)) + -4\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -121*p**2 - 183*p + 10. Let j(v) = -60*v**2 - 92*v + 6. Let b(a) = 3*i(a) - 5*j(a). Find the second derivative of b(h) wrt h.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, v: 2, f: 2}. Give prob of picking 2 v.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 64 = -3*o. Solve -r - o = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u - 9 - 11 = 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 5*w**2 - 10*w + 14. Suppose 3*r = -3*d + 15, 2*d - 7*d + 34 = 2*r. What is the tens digit of k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67\/((-871)\/(-78))*153\/(-27)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9696458 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) -0.8 (b) 0.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3602596, -7205170, -10807744?\nAnswer: -14410318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0 + 1 + 0 - 2 + (2 - 6 + 2)*(-1 + 5 - 2))*(-u + 2*u - 2 + 0*u).\nAnswer: -7*u + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 - -73. What is the second smallest value in 8, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.73945 years to decades.\nAnswer: 0.973945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507961006.\nAnswer: 2, 7, 1069, 33941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 113534444 (base 6) to base 7\nAnswer: 24134521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:22 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1700)*2 + 0) + -1 - ((sqrt(1700) - (-1 + sqrt(1700)))*-4 + -1 + sqrt(1700) + -1 + sqrt(1700))*3)**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3)**19*(n**(4\/11))**48 assuming n is positive.\nAnswer: n**(819\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**2 - a. Let m be 208\/91 - (-2)\/(-7). Suppose -m*l + 9 = 5. Suppose -2*h = -4*x - 4, -l*x + 3*h + h - 2 = 0. Give v(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612 = -68*x + 207 - 343 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -4, 0, -0.2494, -8\/5?\nAnswer: -0.2494","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/240 + s**4\/12 - s**3\/2 + 40*s**2. Factor d(k).\nAnswer: -(k - 6)*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 6 - 5*m**2 + 6*m + 2*m**2 + m. What is the units digit of a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - -233. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - -5)*12\/(-5))\/(-2). Suppose 30*q - 186 = -y. Solve c - k + q = -0, 2*c - 3*k = -16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, 150, -2\/15, 3, 1\/7, -4\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyynznzwyn. Give prob of picking 2 y.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9344407*u**4 - 14615630*u wrt u?\nAnswer: 112132884*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179\/3 - -59. Let m = 14 + -9. Let u = -77.136 - -75.136. Which is the second smallest value? (a) u (b) m (c) -5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 5, 4, 63 in increasing order.\nAnswer: 1, 3, 4, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 14 + -6 + 6 + 22 + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7)*(-26 + 12). Which is the third smallest value? (a) -0.5 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9*(-11)\/(-66))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19991561*m**3 - 1873*m - 177 wrt m?\nAnswer: -119949366*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(117) - (1 + (sqrt(117) - (1 + sqrt(117))))) + sqrt(117) + -3*(sqrt(117) + 0) + 4*(sqrt(117) + 1 + 0)*-6))**2.\nAnswer: 57600*sqrt(13) + 1179216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-16) + (-197)\/(-5) - (84\/(-70))\/2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*l - 16 = 0, 3*l = -t - 11 - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 m when four letters picked without replacement from mmzmmzzzjmzmzmjzjm.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144044*y**3 + y**2 - y - 12530130.\nAnswer: -432132*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*n**3 + 6*n**3 - 5*n**3)*(-59 - 110 + 160 + 184 + 199).\nAnswer: -4488*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-11 + -25 - 5) - (-28 - -40).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - i - 24 = 0, g - 4*i - 30 = -g. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455763 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 7*q**5\/60 - q**3\/6 - q**2 + 71. Calculate i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 16, 2\/3, -191, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/167 + -1240\/11189. What is the closest to 2\/5 in 1\/3, h, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + (-996)\/7. Let n = j - -99. Let z = -21 - n. Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 862498 divided by 33173.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.9 - 33.9. Let w = -0.1 + 0.2. What is the nearest to s in -2, w, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 200\/279 - 76\/279. Put -3\/5, i, 15\/23 in decreasing order.\nAnswer: 15\/23, i, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.24 - 0.76. Suppose 2*u + 3 = u. Let w = -4.9 - 0.1. What is the closest to c in w, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 6*x + 9. Let v(b) = b + 2. Let q be v(-7). Is 3 a factor of d(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285901 and 326744?\nAnswer: 2287208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1581, 1587, 1597, 1611, 1629, 1651?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 2. Let h(z) = j*z - 2*z + 1 + z - 2*z. Let u(w) = w**3 - w**2 - 2. Let x be u(2). Give h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*m = -30, 11*p - 338*m = -336*m + 146 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.9851658 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2470480?\nAnswer: 2, 5, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/30)\/(43\/(-5)). Let l = 8420\/3 + -2806. Sort l, u, 2.\nAnswer: u, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 5*m = -30 + 4, 4 = -4*b - 4*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/8 + 16\/64)*(-29 - -31).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 921*o**2. Let f(u) = -2*u. Determine f(q(g)).\nAnswer: -1842*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*a - 108*a + 50. Let j be (-30)\/4*(-30)\/a. Solve 0 = -4*c - 3 - j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 5*u**2 - 4*u - 2. Let a be w(4). Let m be a - ((0 - 1) + -4). Let f be 2\/(-10) - (-11)\/5. Solve 7 = -f*s - m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -541*h + 552. Calculate d(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from sidssssswwi?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 142080 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -16. Let v be -9*(42\/(-27))\/p. Solve -h - v*h = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 2. Let v be g(-4). Let j be 2\/v*-5*-3. Let l be (-1 + 0)\/((-2)\/(-2)). Put l, -2, j in decreasing order.\nAnswer: l, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8499, 8585, 8711, 8877?\nAnswer: 9083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/4 + 2*a. Let j = 37 - 30. Let k(c) = 6*c - 14*c + j*c. Determine k(w(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5929 + -5929. Suppose -4*f = -2*f - 3*n - 25, -3*f - 2*n + 5 = 0. Suppose 4\/7*r**2 + 4\/7*r**4 - 2*r**3 + 6\/7*r**f + 0*r + t = 0. Calculate r.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Suppose 3*m + 1 - g = 3*f, -5*m + f = -25. Let u(q) = q**2 - 5*q - 7. Let r be u(m). Let c(t) = 5*t**3 + t**2. Calculate c(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2660878 divided by 45\nAnswer: -2660878\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 7 = -g, 4*m = -4*g - 11 - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13776 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/6)\/(5\/(-10)). Suppose 2*c - 6 = 3*o - 48, -3*c - 45 = -t*o. Let k(l) = 23*l**2 - 12*l**2 - o*l**2. Let g(y) = -33*y**2. Give g(k(m)).\nAnswer: -33*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*j**3 + 2*j**2 + 4*j**2 + 34*j**3)*(-4*j**2 + j**2 - 4*j**2).\nAnswer: 7*j**5 - 42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103093, -103082, -103055, -103006, -102929, -102818, -102667?\n\"Answer: n**3 + 2*n**2 - 2*n - 103094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 450\/(-111) - 2. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 1. Let m be v(-3). Let t be (-1 - (-6)\/4)*0. Suppose m*u + g = -2*g + 27, t = u - 3*g + 12. Solve -a - u*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**3 + 18*b**3 - 21*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 - -140. What is the units digit of p\/(-1)*1\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -673 (base 11) to base 12.\nAnswer: -572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*c - 119, y - 58 = -c - 16. Find the second derivative of -20*n + 34*n**2 + y*n - 1 + 2*n**4 - 24*n + 2 wrt n.\nAnswer: 24*n**2 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1\/6, 47, -3, 2\/3, 0, 1\/24 in ascending order.\nAnswer: -3, -1\/6, 0, 1\/24, 2\/3, 12, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1896 and 59\/120?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4680\/16 + 2 - 3\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3, -13, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0038 times 439923\nAnswer: -1671.7074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 10 (b) -0.092 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or -38\/9009?\nAnswer: -38\/9009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125791489*z**2 - 39486467*z?\nAnswer: -251582978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*10\/(-40) + 128 + 1. Suppose -128*b = -t*b + 24. Solve -b = 6*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -56*h - 0*h. Let r = -4.74 + -0.66. Let o = r - -5. Which is the second biggest value? (a) -1 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 22*y + 21. Let k be n(11). Suppose -9*a = -k + 25. Suppose a*j = 8*j. Solve 12 = -3*m - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0 + 12 = -3*l, -3*l = 5*y + 12. Let v = 9 + y. Let b(u) = u**3 - 6*u**2 + 5*u + 4. Let a be b(5). Solve a = 5*d + v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1025906 and -2452.\nAnswer: -1028358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2573, -2578, -2579, -2576, -2569, -2558?\n\"Answer: 2*p**2 - 11*p - 2564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-672 + 732 + 0*r - r)*(-2 + 2 - 1)*((4 + 0 - 1)*(r - 2*r + 0*r) + r + 0 + 0 + 0*r + 3*r - 2*r) in the form c*r**2 + j + m*r and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -2677822?\nAnswer: -11\/1338911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568928509632 minus -5?\nAnswer: 1568928509637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27905720.9 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 231395*s - 1388550.\nAnswer: 5*(s - 46285)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 30 = 6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) - (-3 + (sqrt(1300) + (sqrt(1300) - (sqrt(1300) + -1 + sqrt(1300))))**2).\nAnswer: 2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**6 + 3*i**5 - 3*i**4 + 4*i**2 + 3*i - 3. Let o(k) = k**5 - k**4 + k - 1. Let c(l) = 3*o(l) - y(l). What is the third derivative of c(m) wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-3)*(-313)\/(-6260).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -116, -445, -1000, -1787, -2812, -4081, -5600?\n\"Answer: -n**3 - 107*n**2 - n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5230 + 31045251?\nAnswer: 31054521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.17 + -36.97. Which is the third biggest value? (a) -16 (b) -6\/7 (c) 0 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*h - 4*n, -1 = -3*h + 4*n + 12. Suppose 7*p = -h*p. Suppose -3*y - 6988 + 109888 = p. Round y to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6639*126.\nAnswer: -836514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -426\/5 + 86. Let u be 1\/5 - (-15)\/175. Which is the second smallest value? (a) u (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -23*y**2 + y. Determine l(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130342 + 20?\nAnswer: 130412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 128, 843, 2026, 3683, 5820, 8443, 11558, 15171?\n\"Answer: r**3 + 228*r**2 + 24*r - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*w - 2220 = 2150. Let t(b) = -b**2 + 31*b + 266. Calculate t(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/(-6))\/((26663\/(-546))\/(-293)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 6*n + 4*q + 378 = 0, 0 = -2*n - 4*q - 252. Let h(u) = 6*u + 3. Calculate the remainder when h(4) is divided by (-60)\/(-4)*(5 + n\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/u**(2\/7))\/u)*u)\/u*u*u\/u**(7\/2))\/(u**(-1))**(-3\/8) assuming u is positive.\nAnswer: u**(-33\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666598497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55622548732 + 4.\nAnswer: 55622548736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7))**29\/(l**(-5))**(1\/29) assuming l is positive.\nAnswer: l**(-1647\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 10587996 = 19890421 + 10502074. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - -3434534.\nAnswer: 3434490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*m**3 + 2 + m**2 - 4 + 23*m**3 as p*m**3 + k + y*m**2 + s*m and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/2 (b) -105 (c) 0.3 (d) 200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/7 (b) 37153 (c) 3.2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-348))\/((-3)\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q, 5*d - 2*q - 121 = -17. Let m be 1\/(-2) - (-6)\/4. Let v be m - 2 - (-2 + -9). Calculate the greatest common divisor of v and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -391 - -389. Let q be y + ((-3536)\/(-72) - -4). Which is smaller: 51 or q?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 4017 + 3997 = -2*j, 3*p + 4*j - j = 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 38. What is p(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:43 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101111 - -1010110001?\nAnswer: 111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 128*k**2 + 4*k - 10. Let b = 20 - 18. Let u be p(b). Suppose x - u = -4*x. What are the prime factors of x?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 6733 - 5030 + 1708 + 44.\nAnswer: 2*s - 10011","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 + 1400*o**3 - 21319*o**2 - 133130*o - 169800 = 0.\nAnswer: -1415, -3, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**2*w - f**2 - 18*f*w + 2592683*f - 348*w with respect to w.\nAnswer: -5*f**2 - 18*f - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 105 - 9*h - 13*h**2 - 20 - 3*h**3 + 16*h**2 + 5*h + 4*h**3 in the form i + l*h**3 + r*h + p*h**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11722 - -5344. Which is bigger: -6377 or c?\nAnswer: -6377","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83670641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116063271.\nAnswer: 3, 12895919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*n - 2*o, 7*n + 3*o = 2*n + 23. Solve 4*x + 32 = -3*p, 7*x = n*x - p - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*-3 + sqrt(187) + sqrt(187))*-3)\/sqrt(11) + sqrt(85)\/(sqrt(20)*-5).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g - 72 + 247 - 331 - 1177 = 0 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 33*r**4 - 31*r**4 - 2 + 2*r**2 - 3*r**3 - r**3 to a*r + g*r**4 + b*r**3 + i + t*r**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -15?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2804*y**3 + 4138 wrt y?\nAnswer: -8412*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -165 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 17\/4803?\nAnswer: 17\/4803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 19. What is the remainder when t(-8) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.8 + 12.5. Let z = -8 - u. Let x be 25\/15 - (0 + 2). Which is the third smallest value? (a) 2 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*8\/(40\/15)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 85 = 3*l. Let c(i) = 25*i + 7*i - 169395*i**2 - 82 + 169394*i**2. Calculate the lowest common multiple of l and c(29).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 29.925751.\nAnswer: 59.851502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 884 - 1358. Let x = m + 474.02. Let v be 0 + -2 + 16\/5. Which is the nearest to 0.1? (a) v (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*c - 658*c + 1968*c - 659*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11\/2011 - -80671\/42231. Calculate the common denominator of -1\/4458 and o.\nAnswer: 31206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*o - 657301, 2*m - 2*o + 3*o + 1314591 = 0. Let u = m - 1376407. Let x = u - -6633703. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14987 - -87?\nAnswer: -14900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8577998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/((-30)\/(-525))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06149139753 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*f - 3*w - 19, -2*f + 5*w + 23 = 0. Let u(b) = -1. Let y(d) = -d + 3. Let i(o) = f*y(o) - 5*u(o). Suppose 0 + 4 = -t. Give i(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2834689911.\nAnswer: 3, 127, 2617, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 10*g - 6*g + 21, -g = 5. Let d(p) be the second derivative of 0 - 1\/2*p**2 - 1\/3*p**4 + 11*p + 1\/6*p**3. Give d(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47227 + -4?\nAnswer: -47233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -5\/2, 2\/5, -0.4, -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -27.2. Let u = -16.8 + s. Let k = u + 14.000045. What is k rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -0.1 (c) -2 (d) 1040\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25132820 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 - 23*z**3 + 12*z**3 + 55*z**3 + 4*z**2 - 18*z**3 - 21*z**3 - 6*z to g*z**3 + y*z**4 + r + q*z + f*z**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(12\/(60\/(-10))). Suppose 5*a + 5 = -0. Is (-3 + a)\/(k\/(-48)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.051? (a) -1\/10 (b) -34 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 3*c - 5. Let v be t(5). Solve 24 = v*n + h, -h = -4*n - 1 + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddgd when four letters picked without replacement from ddddddgdgdgdgdddggd?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/((-3)\/132). Let f = l + 7. Suppose -2*z + 11 = -21. What is the greatest common divisor of f and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579182 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 a(o) = 10*o**3 + 981*o**2 - 1930*o - 3052. Calculate a(-100).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -136393 bigger than -136428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 327, 138, -39, -198, -333?\n\"Answer: d**3 - 196*d + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13514232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + 2496. Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3744394445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 21764593787500?\nAnswer: 21764593787504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 97 = 3*j - c, -4*j + 3*c + 81 = 0. Suppose u + 9 - j = 0. Does 15 divide (u\/(-6))\/((-2)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2955 - -2963. Let b = -1.96 + -0.04. Put b, x, 2 in descending order.\nAnswer: x, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n*n*n)**(-7\/2)\/(n*n**(1\/4)*n**2))**21 assuming n is positive.\nAnswer: n**(-273\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 0*y**3 + 5*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:30 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-570)\/(-228) - 3\/((-18)\/(-3)). What is the nearest to -2 in -2\/7, 0.23, w, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 50, 150, 340, 650, 1110, 1750?\nAnswer: 2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184314 or -184312?\nAnswer: -184314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 18*m**2. Let q(a) = 215424*a. Determine q(c(p)).\nAnswer: 3877632*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 times 72?\nAnswer: -4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiiaiiaiiiii. Give prob of picking 3 i.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 386 = -2*a, -2*a + 6*a - m = -762. Let o = a - -195. Solve -3*f = h + 20, -7*f + 3*f - o*h = 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:21 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - -43.29026.\nAnswer: 42.59026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 20*f**3 - 820*f**2 + 1680*f.\nAnswer: 5*f*(f - 14)*(f - 2)*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/13 (b) -2\/15 (c) -3.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iihqhbbitb. Give prob of sequence qh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 37928 (base 14) to base 5\nAnswer: 13330011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -111001001101000101?\nAnswer: -111001001101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419.17 take away -0.1?\nAnswer: 419.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8 times 1090597?\nAnswer: 11778447.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2204450 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30145 + 44720 = 15*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*x + 20 = 0, -5*x + 2 = -2*b + 10. Suppose -j - 5*k = -36, 3*k + 213 = -0*j + b*j. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39ad - 37?\nAnswer: -3a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 36 + 10\/5 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 9*w**2 + 4*w + 8. Let q be i(-8). Suppose -t = -j - 35, -t = -3*j + j - q. Solve -5*p = -4*o + t, -4*p + 4*o + 0*o - 28 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 1177?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21, -198, -2 in descending order.\nAnswer: 21, 4, -2, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*c + 3913 = 3827, 0 = -2*s - c + 40 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1190, 1194, 1202, 1214, 1230?\nAnswer: 1250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86 + -85.6. Let w = -26\/3 + 101\/12. Which is the closest to 0.1? (a) w (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1. Let f(u) = -2*u + 2. What is f(a) + 3*g(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 496238?\nAnswer: -2481190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*o*t**3 - 8*o*t**2 + 15079422*o*t + t**3 - 48*t**2 wrt t.\nAnswer: 936*o*t - 16*o + 6*t - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95.52 + 3.32. Let t = -92 - s. Is t < 3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 9*t - 47 = 0, 35*f = 30*f - 4*t - 37 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120537217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86579 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/5)\/((-156)\/60 + 3). Let m = 74.9 + -78.9. Which is the nearest to p? (a) -1\/3 (b) m (c) 0.2 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 274 - -1?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + 5 + 0 + 7. Let b = 0 + 1. Let v = 0 + b. Solve t*m - 5 = -v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 18 + (-11 - 8) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/12)\/o*o**(-3\/5) assuming o is positive.\nAnswer: o**(-101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m**3 + 43599*m**2 + 10890*m - 32697 = 0 for m.\nAnswer: -3633, -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**4\/24 - j**3\/6 - 32*j**2. Suppose -s = -3*s + 5*k - 1, s + 2*k + 5 = 0. Let o be q(s). Is o at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 8:02 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r - 12*r + 27*r - 11*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 298681846 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20 - -51)\/((-2)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*s**6 - s**6 - 22*s**6 + 62*s**2 - s**3 wrt s?\nAnswer: -120*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(3 + m - 3) - 5*m - 3*m + m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60500 and 17545?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 - 30*j**2 + 1452*j - 12819. What is n(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iidiidiiiiiii. What is prob of picking 2 i?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 1206255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -17*h**3 - 13*h**2 - 13*h - 13. Let p(l) = -8*l**3 - 6*l**2 - 6*l - 6. Let y(d) = 5*d + 2. Let r be y(-3). Give r*p(i) + 6*s(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0*y - 7\/40*y**6 + 23\/60*y**5 + 0*y**4 + 0 - 6*y**2 + 0*y**3. What is the third derivative of c(r) wrt r?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 1\/20*m**5 + 0*m**2 + 1\/6*m**4 - 2 - 1\/2*m**3 - 5*m. Give f(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a1 - 5?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 - 3043*m + 34. Let n(g) = g**2 + 1513*g - 16. Give 13*n(x) + 6*t(x).\nAnswer: x**2 + 1411*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3939391669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -7. Let g = -4 + r. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138\/(-21) - (-28)\/49\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.32 (c) 11 (d) -107 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnnnnwnww. Give prob of picking 1 w and 1 n.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 10*k**2 - 4*k + 18. Let c(y) = 5*y**3 - 29*y**2 - 14*y + 55. Let x(z) = 2*c(z) - 7*p(z). What is v in x(v) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) -83 (c) 228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -466 divided by 233?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - 1*sqrt(90))\/sqrt(9) + 2*sqrt(1210) + sqrt(1210))\/((sqrt(18)\/(sqrt(9) + 1*sqrt(9)) - sqrt(2)) + 2*sqrt(242)).\nAnswer: 66*sqrt(5)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, s: 5, c: 2}. Give prob of picking 1 b and 3 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9759 - 9758.95621. Let q = 2 + -2.044. Let g = q + x. What is g rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 3*h**2 - 3*h + 2. Let b be p(-3). What is the highest common factor of 99 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaaq when four letters picked without replacement from {x: 1, a: 12, q: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4449560 = d - 4*n - 21900435, 4*n = -20. Let k = d - 30890855. What is k rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/(-3752)*8)\/((-40)\/308)?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:15 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 + 4*l**2 - 2*l**3 + 119*l - 44*l**2 + 2 + 40*l**2 as i + t*l**2 + o*l**4 + d*l**3 + f*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)*(z\/z**(2\/5))\/z*z**(1\/4)*z*((z*z**3)\/z)\/z assuming z is positive.\nAnswer: z**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (228\/(-8))\/19*2\/(-1). Let s(w) = 4 + 24*w**2 - 66*w**2 + 26*w**2 - w**p + 0*w - w + 22*w**2. Determine s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from wwiwwiwwwiww.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**2 - o + 13. What is x(-7)?\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73945 is divided by 2738.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -6370?\nAnswer: -2\/3185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k**4 - 26*k**3 - 16 - 12*k**2 + 32*k + 34*k**3 + 96*k**2 = 0. What is k?\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2759*h - 4221. What are the prime factors of r(-9)?\nAnswer: 2, 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -19.962. Let t = -0.162 - q. What is the closest to 2\/3 in -3, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6568 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 6*l**2 - 3*l + 3. Let f be p(7). Is f*(-7 + 3 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 12. Let t(q) = -q**3 - 10*q**2 - q - 10. Let m be t(-10). Suppose m = -y + r*y. Is y less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642763 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-750)\/(-11) - (-2)\/(-11). Suppose 4*t - 120 = u. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (-3*sqrt(270))\/sqrt(6))**2 + sqrt(45)\/(sqrt(9) + sqrt(576)*-3).\nAnswer: -sqrt(5)\/23 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -847\/8 less than or equal to -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*t - 11 = 0, -3*a - 3*t + 4 = -8*t. Find the second derivative of o**4 + a*o - o + o**4 - o**4 wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**7\/210 - 13*q**5\/30 - 3*q**4\/8 + 24*q**2. What is the second derivative of j(o) wrt o?\nAnswer: -12*o**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 2*r - 2. Let j be -2 - -46*3\/195. Let g = j - -4783\/130. Find the common denominator of g and f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7904 + 9143. What is the least common multiple of o and 56?\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 16. Let t(h) = -4*h - 81. Determine 11*g(b) + 2*t(b).\nAnswer: 3*b + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 56*n**2 - 5. Let f(q) = -140*q**2 + 12. Give -5*f(z) - 12*m(z).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 270 - 147. Calculate the remainder when g is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40944599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 212, 756, 1820, 3578, 6204, 9872, 14756?\nAnswer: 21030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7146515 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klll when four letters picked without replacement from {k: 4, l: 6}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2704408*a*b**2 + 2175064*b**2 wrt a.\nAnswer: 2704408*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(2\/(36\/3)). Let x(p) = 5*p**3 + 2*p**2 - 121*p - 6. Let q be x(-5). Calculate the highest common divisor of w and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -144.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 0 - (11 + (3 - 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5983874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38887 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 22*g**3 + 2*g**2 + 2*g + 1. Give y(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.34 at least 1\/3309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 241 = 241. Let y(l) be the third derivative of -l**5\/60 - l**4\/24 + 2*l**3\/3 - l**2. What is y(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 14*u + 8. Let a be q(-4). Let o be (-40)\/19 + 2 - 0. Is a < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -50*p**2 + 252*p. Give t(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 4543.\nAnswer: -12\/4543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162930 is divided by 181.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*a = a - 18, 5*a - 5 = 0. Solve -n - 5*l + 15 = 2*n, 25 = i*n - 2*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 4*v**2 - 3*v - 2. Let n be k(-3). Let s be n\/20 - (-4)\/(-10). Let r be 2\/12*21\/28. What is the closest to 1 in s, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -8, 3 in descending order.\nAnswer: 18, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvvcvcvvv. Give prob of sequence cvcv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.519 - 0.05?\nAnswer: -1.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*n - 44 - 24, 0 = 4*n + u - 51. Are 64\/5 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/(-4)*(-6)\/8*36\/(-54)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:45 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16722 and 6.63653?\nAnswer: 16728.63653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217 - 217. Solve -3*r + 104 - 95 = i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4235033 (base 6) to base 16.\nAnswer: 3293d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-69)\/(-6) - 0)*-2. Let g = r - -17. Let i = -4 - g. Is 3 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2816) + 1 + -1 + 4)**2 - (5 + (5 + 2 + sqrt(275) + sqrt(275))*2).\nAnswer: 108*sqrt(11) + 2813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/(220\/(-32)))\/(2\/(-5)). Suppose 0 = -x*s - 4*s + 17624. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a58e (base 15) in base 2?\nAnswer: 10100111010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 6*r**2 + r + 4. Let k be x(-3). Let o(n) = k + 2*n + 19 - 49. Let f(t) = 6*t - 7. Determine -2*f(c) + 7*o(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1842923, -7371612, -16586093, -29486366, -46072431, -66344288, -90301937?\nAnswer: -117945378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 - g**2 - 3*g. Let b(o) = -o**3 + o + 1. Let k(m) = -4*b(m) - p(m). Let v be k(0). Let q be -7*(v - -3)\/(-14)*-4. Solve q*r + 20 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14590 + 10*d + 820 - 1517 - 2*d**2 - 8*d.\nAnswer: -2*d**2 + 2*d - 15287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 32934500 to the nearest one hundred thousand.\nAnswer: 32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + j - 18, -3*d + 16*j + 16 = 18*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.1 (b) 2\/7 (c) -1 (d) 29567 (e) 3 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 20*r - 26. What is the lowest common multiple of 4 and v(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 + -0.01. Let d = 0.83 + -0.03. Let b = d - 1. What is the closest to h in 1, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoozzzdddd. Give prob of sequence ozo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 - 88. Suppose -2*j + s = 11. Let u be 1 + (0\/1 - 1). Solve -j*k + 4 + 8 = u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4 - 29*b**3 + 431*b**2 + 2.\nAnswer: 72*b - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6))\/(2\/20). Suppose -68 = -5*q - l, b*q = 2*q - l + 40. Solve -2 = -4*v + q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*p = 2, -4*c + 0*c + 4*p - 8 = 0. Let y(v) = 2*v**3 + 2*v - 4. Let s(o) = -o**2 + o - 1. Determine c*y(z) + 2*s(z).\nAnswer: -2*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 122?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370 by -5.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -90, -86, -82, -78?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/((-99)\/(-1650)*-5)*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 8. Let u = 17 + i. Suppose 0 = -4*l + u + 1. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2299) + 2*sqrt(2299) - sqrt(2299)) + sqrt(2299) + 5 + -1 + -5*(sqrt(304) + sqrt(304)*1 + -3)*-3)**2.\nAnswer: -11016*sqrt(19) + 446067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 113?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 12*s**2 + 27*s - 9. Let o be b(-14). Sort o, 7, 0, 1 in increasing order.\nAnswer: 0, 1, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 29*v**2 - 596*v - 5601. Give w(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 - (-5 - -2) - 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/22*1\/((-5)\/5).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 3. Let t(l) = -l**3 - l + 2. Suppose 7*k + 10 = 2*k. What is the remainder when t(k) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3\/3 + 211*n**2\/3 + 640*n\/3 + 428\/3 = 0.\nAnswer: -2, -1, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*f**3 - 135*f**2 + 4*f**4 + 9*f**3 - 28*f**4 - 134*f**2 - 419*f**2 wrt f?\nAnswer: -576*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -j, -5*j - t + 0*t + 5 = 0. Let u be -3 - (-3 - (-2 - (-2)\/j)). Suppose u = -21*x + 18*x + 732. What are the prime factors of x?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -445\/6. Which is greater: -8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 230*x**2 + 94*x - 16. Let b(v) = 2*v**2 - v + 4. Let z(u) = -6*b(u) - s(u). Factor z(t).\nAnswer: -2*(11*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 9867650.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = -5. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55888208?\nAnswer: 2, 3493013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-10))\/(6\/30). Suppose i + 10 = 4*u. Sort 4, -3, u, -4.\nAnswer: -4, -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3854.896250826 and 37.\nAnswer: -3817.896250826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19125*n + 19129*n + 60. Put 14, -2, -1, n in increasing order.\nAnswer: n, -2, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 92877, 92875, 92871, 92865, 92857, 92847?\n\"Answer: -k**2 + k + 92877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-6) - 2\/4. Let w(i) = -i**3 + 7*i**2 - 5*i - 8. Let s be w(6). Put s, r, -3 in ascending order.\nAnswer: -3, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 29. Solve 0*l + h = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + (4 + -1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/3 (b) 3\/2 (c) 1 (d) 6224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54, 57, 56, 51, 42?\n\"Answer: -2*d**2 + 9*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1100) + -1)*4)**2.\nAnswer: -52848 + 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-93)\/620)\/(4 + 11\/(-5))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 3*c**2 + 5*c - 2. Let f(y) = 3*y + 10. Let q be 27\/(-4) + (-1)\/4. Let k be f(q). Let b = -7 - k. Give u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 x when four letters picked without replacement from {a: 1, n: 5, y: 2, h: 2, f: 1, x: 4}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -971*v**2 - 698*v**2 - 460*v**2 - 918*v**2 to g + y*v**2 + d*v and give y.\nAnswer: -3047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4. Let t(j) = 20995*j - 8. Let c(h) = -230944*h + 90. Let u(l) = -6*c(l) - 68*t(l). Let f be u(k). Round f to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppopppoooppppppop. What is prob of picking 3 p?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4065, 7, 5.\nAnswer: -2, -1, 5, 7, 4065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8 = -0. Let v be (n\/(-5))\/((-20)\/(-25)). Let l = -1.1 + -3.9. Put l, v, 1 in decreasing order.\nAnswer: 1, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -4) + -7 + 4. Let c be -3 + (0 - -69)\/j. Suppose 4*y + 122 = -0*m + 5*m, -2*m + 3*y = -53. Calculate the greatest common factor of m and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-143)*(-4)\/(-14)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*j - 6. Let x be 8\/j*4680003\/(-2). Let s be (-5)\/(-10) - x\/4. What is s rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(24)*6)\/(sqrt(72)*2) + (-4*(2 + sqrt(147))*4)**2).\nAnswer: 14332*sqrt(3) + 77312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/11, 0.3, -1, -0.11 in increasing order.\nAnswer: -2, -1, -0.11, 0.3, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*x - 216*x + 241*x - 2816 = -422*x. Find l, given that -2\/7*l**x + 4 + 2*l**3 + 6\/7*l**2 - 46\/7*l = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2 = -4*u, -10*u + 0*f - 13 - 11 = -2*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.069 - -19.931. Let a = h + -20.2. Sort a, 0.4, -2\/7.\nAnswer: -2\/7, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 448.1889513 - 459.139857376. Let n = x - 0.249104824. Let y = 11.2 + n. Round y to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32208154 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/2*-18)\/1. Let s(r) = r + 30. Let d be s(p). Solve 4*m - 23 = -d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216*t**4*y**2 + 10*t**2*y**2 - t*y**2 + y**2 wrt t.\nAnswer: 5184*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.143 times -0.5\nAnswer: -1.0715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 7. Let x be z(3). Let i(l) = 5*l. Give i(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t - 2 - 19 + 8 - 23 - 22 as y*t + j and give j.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {c: 3, u: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5\/248, -2\/9.\nAnswer: -2\/9, -5\/248, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*n - 65 = 88*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2 - c**2 - 5114 + 8*c + 5762 - c**2 wrt c.\nAnswer: -8*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14329868?\nAnswer: 2, 7, 107, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3511 or -3974?\nAnswer: -3974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}