diff --git "a/data/dm_maths/full_data_1/1991_11255.jsonl" "b/data/dm_maths/full_data_1/1991_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1991_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((v**(-1))**(18\/5))**34*(v**6*v**4)\/(v**(-2\/11)*v**(2\/13)\/v) assuming v is positive.\nAnswer: v**(-79631\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 9. Let l be r(0). Suppose -1 = -4*u + 5*k - 14, u = -2*k. Let x = l + u. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmwmmmwmmm. What is prob of sequence mwm?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -36*c - 38. What is the hundreds digit of o(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009653 to five dps.\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32311435 to the power of 1\/2, to the nearest integer?\nAnswer: 5684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -271764, -271730, -271702, -271686, -271688, -271714?\n\"Answer: -w**3 + 3*w**2 + 32*w - 271798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -28 - 0\/(5 + -2). Let z be f\/(-6)*(-6)\/(-4). List the prime factors of (2\/2)\/(1\/z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10*2)\/(10\/12). List the prime factors of (h\/6 - 5)\/(3\/(-2082)).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 - 19*x**2 + 9*x + 7. Let k be i(9). Let q(c) = -241109*c**3 + 9*c**2 - 10*c + 16. Let o be q(k). Round o to the nearest 1000000.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7807 + -2414. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1632 + -1346. Calculate the remainder when b is divided by 80.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*n**2\/17 + 5956*n + 31152\/17.\nAnswer: 2*(n + 3894)*(13*n + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3868*h + 104456. Give r(27).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.97 + 0.03. Let t(m) = -m + 4. Let z be t(5). Let s = -5 - z. Which is the smallest value? (a) g (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 11*j = 12 - 48 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.853489 millimeters in kilometers?\nAnswer: 0.000000853489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/55 + (-12)\/(-5). Suppose 8 + 6*f**2 + 19*f + 8*f**n - 10*f**3 + 5*f - 8*f**2 = 0. What is f?\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 5:34 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 3*r**2 - r + 2. Let i be t(2). Let z(l) = l - l + i*l - 6*l. Let o(d) = 2*d**2. Determine o(z(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 2*p**2 + p. Let m be k(-1). Let d(o) = o**2 + 6*o - 5. Let f be d(1). Solve -m = -s + f*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6456 is divided by 3207.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z + 7. Let k(n) = -21*n - 18. Determine -3*k(b) - 8*o(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26904*o**2*t**2 - 3*o**2*t - 758*o**2 wrt t?\nAnswer: -53808*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (722 - 654) + 429\/(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 32946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 - 3*z**2 + 5. Let l be d(2). Let p be ((-21)\/l)\/((-3)\/63). Is -2 + (-4542)\/(-21) + (-14)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 13*n**2 - 12*n + 27. Suppose 3*l + 0*l - 33 = -3*m, 2*l - m = 25. Let j be w(l). Solve -12 = 3*u - j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 107?\nAnswer: 9\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -3985\nAnswer: -398.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.057, -1, 8?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q = 18*q - 80. Find the common denominator of 40\/9 and q + 3 - (-64)\/(-60).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*g + 65*g + 28 = 0. Suppose 4*q - 790 = -g*p + 406, 5*p - 4*q = 2976. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4884167547 plus 22?\nAnswer: 4884167569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 179*d**2 - 268*d + 17166. Calculate n(-181).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a**3 + 12 - 12 + (11*a - 3*a + 7*a)*(11 - 11 + 14*a)*(2 + 3*a - 2) in the form f*a**2 + k*a**3 + h + c*a and give k.\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -16. Let y be (1 + -2)\/((-4)\/b). Find the third derivative of 0*h**6 + 3*h**y + h**6 + h**6 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 671 and 15104056?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -25*s**9\/252 - 7*s**5\/10 + s**3\/3 + 99*s**2. What is the third derivative of h(j) wrt j?\nAnswer: -6000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87196843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 24, 23*c - 19*c = -4*u + 48 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -15 - 0 - (-194 + (5 - -187))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i**9\/i)\/i)\/i)\/i**(-14)*(i**6)**(-37))**(-36) assuming i is positive.\nAnswer: i**7236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 150 = -5*d, 5*k + 4052 - 3775 = -12*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -q - 4*q + 21, 0 = -5*q - w + 29. Let t be (-150)\/(-35) + (-2)\/7. Solve f + t*m + 16 = 0, -3 = q*f - m - 7 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 25*k**2 + 25*k + 14. What is v(24)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.0341 minus -3?\nAnswer: 110.0341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36974, 73977, 110980, 147983, 184986, 221989?\nAnswer: 258992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 5*w - 1661, 0 = -2*n - w + 841. Let m = n - 100. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 193726 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(24)\/sqrt(4))*-3)\/(sqrt(324) + sqrt(324)*-3*-3).\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d**(-4\/7)\/d)\/d)\/d)\/(d**5*d) assuming d is positive.\nAnswer: d**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 31*j + 18. Let f be x(11). Let k = -5 - f. Let w = k + 47. Solve -w = 5*l - 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 2454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*(-5 + sqrt(1053)*2))*3.\nAnswer: -96 + 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 902.744 - -0.42.\nAnswer: 903.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.717618 - 1280?\nAnswer: -1330.717618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1011*i**2 + 41578*i + 82999764?\nAnswer: 2022*i + 41578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945854?\nAnswer: 2, 7, 13, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0*k**2 + 0*k**3 + 1\/6*k**4 + 0 + 13*k. Let l(w) = 12*w. Give q(l(m)).\nAnswer: 288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:24 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 11 - (2 - -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*5*(sqrt(24) - (sqrt(24) + 2*sqrt(216) + sqrt(24))))\/(sqrt(8) + sqrt(80)\/(-2*sqrt(10)) - -3*sqrt(392)))**2.\nAnswer: 367500\/1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202.1064 weeks to milliseconds.\nAnswer: 122233950720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 159 + 942. Calculate the greatest common factor of x and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkklkkkkkkkkkk. Give prob of sequence kkk.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60167*o**4 + 84820*o**2 + o.\nAnswer: -1444008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + sqrt(275)*1)) + 5)**2.\nAnswer: -50*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/7, 65, -28, -1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 6 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(164\/(-64) + 3) + 2. Let q(p) = 14*p**3. Let i be q(1). Suppose 3*f + 19 = 4*z, -4*z = f + f - i. What is the closest to b in f, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -11.9. Let p = 11.9999955 + w. What is p rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86786 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*v - 28*v - 4595 = -23033 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4\/(-6))\/((-26)\/(-78))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-21))\/(63\/49)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -675*q**3 + 117*q**3 + 71*q**3 + 11 - 2 + 10*q**3 as k*q + f*q**3 + d + p*q**2 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k + k**2 - 1\/3*k**3 + 3\/4*k**4 + 1. What is the second derivative of l(j) wrt j?\nAnswer: 18*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 d when three letters picked without replacement from sdssv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001011100 + 100000100101000?\nAnswer: 101011110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2579\/((1\/4)\/((-7)\/(-28))). Let d = -220 + 222. Suppose -5*u = 3*m - o, -3*m - d*m = -u + 527. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8542097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 20 = 2*f, 12*f - 10*f = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 6*i + 258. What are the prime factors of i?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441 + 431 + (1 + -1 - 1) + -12.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*c**2 + 4\/9*c + 2\/9*c**3 + 0 = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 10 + 23)*(-u + 2*u + 0*u).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -211*j - 64. Let k be -2 + 6 + 48\/(-8). What is the least common multiple of 8 and t(k)?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256632497.6 rounded to the nearest ten thousand?\nAnswer: 256630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131 + -1212012?\nAnswer: -1221203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -f - r, -62 = 2*f - 3*f - 5*r. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2. Let w(b) be the third derivative of -b**4\/8 - b**3\/2 - 275*b**2. What is w(p(z))?\nAnswer: -6*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.1, 0.02, 3\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.267351516 to 2 dps.\nAnswer: 3.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + (sqrt(99) - (sqrt(99)*-3 + sqrt(99))*1 - sqrt(99)) + (sqrt(99) - (3*sqrt(99) + sqrt(99)))*3)**2 + 4.\nAnswer: 126*sqrt(11) + 4866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 907172 divided by -13.\nAnswer: -907172\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 2936, 6614, 11764, 18386?\nAnswer: 26480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-2) - 440\/112. What is the closest to -1 in 2, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(133))\/sqrt(7)*-6.\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*b**2 - 123*b**2 + 66*b**2 - 11*b)*(3*b - 2*b**2 - 3*b).\nAnswer: 2*b**4 + 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-24)*(-34 + 42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 162 (b) 7 (c) -3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqaqqazvvavuzzzzva. What is prob of picking 2 v and 1 u?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*b - 32, -o + 24 = 2*o + 4*b. Suppose -129 = -o*s + 95. Solve 3*c + 0*c = 4*g + s, 4*g - 5*c = -36 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/17, 0.02, 2\/7, 12?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2790\/29 or 0.53?\nAnswer: 2790\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**5\/60 + k**4\/6 - k**3\/2 + k**2\/2 + k - 40. Let z(f) be the second derivative of r(f). Find c, given that z(c) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 112 and 113 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 9. Let s be r(4). Suppose 0*o + s*o = 0. Solve 0 = -p - o*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 2:19 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 - 2570*m**4 - 7745*m**3 - 5170*m**2 = 0. What is m?\nAnswer: -2, -1, 0, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 3, i: 7, e: 5}. What is prob of picking 2 l and 2 i?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(245) + sqrt(245)*-1 + sqrt(245)) + 3 + sqrt(245) + 2*sqrt(245))*-4)**2 - (2*(3 + sqrt(245))**2 + -2)*-1.\nAnswer: 6132*sqrt(5) + 318170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-2))\/((-6)\/24). Suppose 0 = 3*c + 4*x + 9, -h*c - 3 = x - 4. Let m be 4*(c + (-6)\/(-4)). Solve 3*f + 2 + m = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -281098 by 7.\nAnswer: -281098\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.5 (b) -20\/7 (c) 5 (d) 197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 23\/745?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.85346ns to microseconds.\nAnswer: 0.04085346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105195 or 105196?\nAnswer: 105196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/252 and -41\/1116?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06674 - -0.066751833. What is f rounded to 7 dps?\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 0, -1.8, -3, 2\/11, -50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79599309184\/15672215 - 743\/921895. Let g = 5079 + j. Let z = g - -480\/4199. Which is the nearest to 1? (a) z (b) 4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, y: 12, c: 4}. What is prob of sequence yic?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*q**2 + 3*q + 12*q**2 - q**3 + 3*q to i*q + h*q**2 + o*q**3 + c and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 11*l**3 - l + 9*l**3 - 22*l**3 to the form v*l**2 + f*l + w*l**3 + x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 9837.\nAnswer: 108207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*p - 0*p - 2*m, -4*p + 28 = -4*m. What is the second derivative of -16*c - 10*c**4 - 3*c**4 - c**p wrt c?\nAnswer: -168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.2 (b) -0.4 (c) 770\/51 (d) -1\/6 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6465 by -1293.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460880547 is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2)*(-6)\/(-4). Suppose -t - 104 = -p*t. Suppose v = -k + 8, -k - 4*k + v = -t. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 + 6*d + 6. Let y(j) be the third derivative of -j**5\/15 + 5*j**4\/24 + 5*j**3\/6 + 3*j**2. Determine 3*l(t) - 4*y(t).\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-3)\/(-6) + (28\/(-8) - -1). Solve 18*r = -q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/10*(69\/230)\/((-9)\/(-75)). Solve 4*f = 9*f + x - 3, -5*f - y*x = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qlqqqqkqkqqkqqqlql?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apeaeaaaaeapaaa. What is prob of picking 4 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 greater than -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 24048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - 3. Let u = -26 - c. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -16.92981172658?\nAnswer: -16.42981172658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -52) + -36 + 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 472810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -409 + 57. What is the common denominator of -1\/22 and (-1 + s\/4)\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 7 = 2*n, -6 = -3*n + 484*r - 488*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*w**3 + 195*w**3 - 101*w**3 - 148*w**3 + (5*w**2 - 4*w**2 - 2*w**2)*(-w + 3*w + 0*w).\nAnswer: -58*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.8627 meters in kilometers?\nAnswer: 0.7938627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(14\/11)*z**(-37\/5)*(z\/(z\/z**(-34)))\/(((z**(18\/7)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-15879\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/120 - n**5\/30 - n**4\/12 - n**3\/2 - 14*n**2. Let w be f(3). Sort w, -2\/7, 1\/2 in increasing order.\nAnswer: -2\/7, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - -241. What is the remainder when v is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 260735 = 2*s, 0 = 4*p + 13*s - 8*s - 208588. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 4. What is the least common multiple of k(-12) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*d - 4*l, 13 - 2 = -2*d + 3*l. Let i be (5\/(-25))\/(6\/d). Let h = 8\/3 - 77\/30. Which is the third smallest value? (a) i (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*6710507\nAnswer: -26842028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -55400830 and -55400829 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.08, -3, 2.3, -1\/4, -0.5, 66?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + 58\/7. Suppose -4*o + 5*o = -2*q - u, 2*o + 18 = -5*q. Let y = 0.0687 - 1.0687. Sort -2, o, y, 6 in ascending order.\nAnswer: o, -2, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i - 66. Let f be u(16). Let x = -52 + f. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 2. Let i be n(5). Suppose -i*d + d = 0, 3*x + d - 240 = 0. Calculate the highest common divisor of x and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -277 (base 8) to base 7.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = r + 2, 3*r + 0*r + 9 = -2*y. Suppose -3 = -2*w + 5*w - 4*w. Solve 2*h + n + 1 = -h, y*n + w = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11388 times 1230\nAnswer: -14007240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/7)\/n*n*n**(-38) assuming n is positive.\nAnswer: n**(-269\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44*-6164910.\nAnswer: 271256040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55702 - 8481. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/2*1\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 416.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 + 8356*p\/3 - 6297719.\nAnswer: (p - 1851)*(p + 10207)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*x - v, 5*x + 0*x - 35 = 2*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-133397)\/110)\/181)\/(2\/(-60)*-3).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -55 + 45 + -2 + 29 + 16\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 929 + -933. Let h(b) be the second derivative of b**3\/2 + 5*b**2\/2 + b. Let f(g) = -5*g - 9. Calculate q*f(k) - 7*h(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224, 4, -20356 in increasing order.\nAnswer: -20356, -224, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997 = 3*w + 982 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26713 + 63584. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 0)*(9053*l - 53925*l + 400 - 400) as i*l + v and give i.\nAnswer: 134616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77651.19 centimeters in micrometers?\nAnswer: 776511900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.2, 4, -4, -65 in decreasing order.\nAnswer: 4, -0.2, -0.4, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58751942 to the power of 1\/2, to the nearest integer?\nAnswer: 7665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -3*(-4)\/(-12). Suppose 0*m = d + 4*m + 8, 3*m = b*d + 71. Let f = -17 - d. Solve 2*z = -a - 14, -z = -0*z - 4*a - f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118877881 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 18*h**2 - 87*h + 56. Give c(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -89*n + 86*n - 89, -4*l + 24 = -n for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) 11 (c) -0.4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**3 + 5*u**2 + 3*u - 6. Let c(k) = -k**3 + k**2 + k - 1. Suppose 10 + 10 = 4*z. Let b = -10 + z. Let g = 0 - -1. Calculate b*c(o) + g*y(o).\nAnswer: -o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1)**(-7)\/(p*p\/(p**(-2\/5)*p))**37)**(-49))**(2\/19) assuming p is positive.\nAnswer: p**(28812\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1906\/5 - -382. Which is the fourth smallest value? (a) -4\/5 (b) l (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10220221211 (base 3) to base 16.\nAnswer: -12dba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + q. Let j(m) = m**2 + 5*m - 1. Let l be 9\/6*-4 - -1. Let u be j(l). What is the remainder when 11 is divided by s(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12428003 and 1775429?\nAnswer: 12428003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doidzdioidu. Give prob of picking 1 d and 2 o.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 1 - (-637)\/611. Let u = d - 69\/517. Let x = 2.8 - 3. Which is the third biggest value? (a) u (b) x (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*r + 27*r + 1564 - 274 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1426*-1074.02\nAnswer: 1531552.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 457570 to the power of 1\/2, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 12 = 12*m, 5*o = 2*m + 35748. What are the prime factors of o?\nAnswer: 2, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 23 (b) -2\/11 (c) 2\/7 (d) 1\/8 (e) -5 (f) -452126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-180)\/(-192))\/(15\/(-20)). Which is the third biggest value? (a) 2 (b) 3\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 11444040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 7. Let r = -0.3 + -16.7. Let g = r + 14. What is the biggest value in -5, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.95 + -13.95. What is the fourth smallest value in 3, 2\/23, 28, b?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*t + 19 = -515*t + 4*q, -q + 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 - 2*z - 3. Let t be f(-4). Suppose -72 + 138 = -6*x. Sort 0, x, t in increasing order.\nAnswer: x, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00277658329 to 7 decimal places.\nAnswer: 0.0027766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -14\/3, -30 in decreasing order.\nAnswer: 9, -1, -14\/3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60386 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4729, 4501, 4121, 3589, 2905, 2069, 1081?\n\"Answer: -76*m**2 + 4805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = 18. Let c = -2 + u. Solve -c*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109909 + 0.3?\nAnswer: 109909.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, -28, -52, -94, -160, -256, -388, -562?\n\"Answer: -g**3 - 5*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10826*d + 4*d**2 - 204 + 10826*d to m*d + b + y*d**2 and give b.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*i + 10 = 0, -3*i - i = -5*s + 8. Which is greater: 7\/8 or s?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212201211210 (base 3) to base 9.\nAnswer: -781753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627 = 225*b + 2983 + 3719 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 - 6*y**3 + 3*y**3 + (0 + 0 - 2*y)*(4 + 3*y**2 - 4) - 5*y**3 + 4*y**3 + 3*y**3 + 24*y - 11*y**3 - 3 + 9*y**3 + 17*y.\nAnswer: -5*y**3 + 41*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 13*s - 8*s + 15, 0 = 3*s - 4*i + 32. Let g(b) = -6 - 4 - 8*b - 3. What are the prime factors of g(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 16 = -x. Let q be (-3)\/(5\/((-20)\/(-6))). Let w be (x*2\/(-2))\/q. Which is the biggest value? (a) w (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74153503 is divided by 2607?\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*l, 5*j - 2*l - 11 = 4*j. Suppose 3*q - v - 1 = 6*q, -q = -j*v - 3. Suppose q + 3 = f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**4\/12 - 2*m**2 + 501*m + 15. Let b(v) = -7 - 271*v + 7. Give j(b(n)).\nAnswer: -542*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (0 - -1))*-7. Suppose 2*x = -5*a - 102, 0 = -a + 5*x - x - 16. Let d = f - a. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -660\nAnswer: 3300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -723715\/239 - -3028. What is the common denominator of 41\/1434 and s?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1024 (b) 1\/12 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -287.\nAnswer: 40\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 14\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + (2 - 3 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1858 and -113251948273.\nAnswer: -113251948272.8142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*y + 3*y. Let m(x) = -x**3 - x**2 + 3*x - 3. Let d be m(y). Is (-57)\/d + 2\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r. Let l(d) = -6*d - 23. Let u(c) = 78*c + 300. Let s(p) = 27*l(p) + 2*u(p). Let z(k) = k + 4. Let f(w) = 4*s(w) + 21*z(w). What is h(f(q))?\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-30))\/((-1 - (-30)\/(-9)) + 4). Let b(x) be the first derivative of 0*x**2 + 15*x - 9\/2*x**l + 0*x**3 - 5. What is the derivative of b(v) wrt v?\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*l**2 + 52195974*b*l + b + 33457558 wrt l?\nAnswer: -2*b*l + 52195974*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*10\/810*6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 34. Let v = 9 - 2. Suppose -3*p + f = -y, 2*p + 4*f - v = 3*p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 92341?\nAnswer: -92338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*n - 4*n. Is 2\/n - (-206)\/4 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = 85 - 265 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2464 - -2624. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -1159 - 381. Let k be (-2)\/(-10) + t\/(-35). Let y(j) = -j**2 + 11*j - 4. What is the tens digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)*o**(-1\/2)*o*o)**31 assuming o is positive.\nAnswer: o**(527\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2969101792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:48 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f**2 + 2*f + 1. Let u be q(-1). Suppose -3*d + 0*a + 35 = 5*a, -2*d + a + 6 = 0. Solve -d*c + 1 = -u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-4 - (-9 + 0 - -5))) + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**3\/15 + 114*v**2\/5 + 12996*v\/5 + 300. Factor n(y).\nAnswer: (y + 114)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-14) - 20\/70. Let w(j) be the first derivative of 7*j**2\/2 - j - 85. Give w(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/27150 and 26\/24435.\nAnswer: 244350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9234 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, 12\/83, -5, 3\/4 in descending order.\nAnswer: 3\/4, 12\/83, 0, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 2. Suppose 0*s = 5*s - t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 13) to base 7\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4070 - 10424?\nAnswer: -14514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**5\/5 + 64*r**4\/5 - 112*r**3\/5.\nAnswer: -4*r**3*(r - 14)*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(65) + 5*-2*sqrt(65))*-6*-4)\/(-4*(sqrt(5) - sqrt(30)\/sqrt(6)) - sqrt(180)*-2).\nAnswer: -90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 10:13 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*u - 272 - 16, 3*u + 3*l - 450 = 0. Let o = u + -138. What is the greatest common divisor of 12 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142452*c**2 - 10*c + 10*c - 142447*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -100959.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 o, and 1 g when three letters picked without replacement from progi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from rqixtcc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 551684 or -130?\nAnswer: 551684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 6. Suppose -33 = 4*a - 49. Suppose -a*s - 15 = -s. Calculate u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151 + 1502?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {c: 1, u: 2, h: 1, l: 2, a: 1, z: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**3 + d**3 - 2*d**3)*(1827 + 1797 - 21564*d - 3624).\nAnswer: 21564*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -50?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (52\/(-12) + 3)*-21. Let j be (-1)\/i*2*-2. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212\/9 + -1078\/45. Let b = 9 + -9.14. Let g = 0.06 - b. Sort g, r, -6.\nAnswer: -6, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o + 2. Suppose -l + 3*l + 4 = 0. Let y be f(l). Solve -3*j + y = -5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltm when three letters picked without replacement from mtll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**2 + 21*u - 5. Let l(v) = v**2 - 4*v + 1. Let x = -564 - -575. Give x*l(q) + 2*j(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 12:39 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/6 and -35\/174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84503.51ml to litres.\nAnswer: 84.50351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854600800 divided by 5341255.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10210 - 101320321?\nAnswer: -101310111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/2 + 11*j**3\/2 - 12*j**2 - 22*j + 56 = 0. Calculate j.\nAnswer: -2, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-574)\/49)\/(250\/(-875))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2119 = -91*y + 863*y - 197 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-60) + (-3)\/18\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2722051 + -6?\nAnswer: -2722057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 - 5*b + 2. Let g be w(3). Put -4, g, 12 in ascending order.\nAnswer: -4, g, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.7 from -2686663896.\nAnswer: -2686663901.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*h - 17, h + 2 = 2*u - 3. Solve 21 = -2*d + 2*i + 1, -u*i = -20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 77*i**2 + 221*i - 69. Let r be h(-74). Which is the fourth smallest value? (a) 2\/7 (b) r (c) -0.4 (d) 0.037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - -1.8837.\nAnswer: 18.8837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 240, 245, 250?\n\"Answer: 5*i + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1297 + -1296. Solve 2 = r + 3*u + 3, -3*r + v = 5*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2514\/21 + (-4)\/(-14). Suppose 4 = -4*s + z. Suppose -3*f - 48 = -4*d + s, d = 2*f + 23. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 2.1. Are -2\/3 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 16 = -4*v. Suppose x + v*n + 8 = 1, 3*x + 6 = 3*n. Let r be (-2)\/24*(-3)\/1. What is the second biggest value in r, 0.5, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.3 at least as big as 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39\/5? (a) -5 (b) 1 (c) -15 (d) -0.1 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3398178880?\nAnswer: 2, 5, 19, 457, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 5. Let p = j - -5.8. Round p to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3876 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: Is -130\/17 < 0.108214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 40, 14, -64, -212?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5168740, 5168678, 5168616, 5168554, 5168492?\n\"Answer: -62*g + 5168802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16922\/19 - 20289231\/22781. Is 1 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 9*b - 2. Suppose d + 7 = -2. Let y be s(d). Let m(k) = -3*k + 4. Let v(w) = 10*w - 13. What is y*v(z) - 7*m(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/59 - -81\/649. Suppose 17255*d - 17216*d - 39 = 0. Sort 1\/5, -3\/4, r, d in ascending order.\nAnswer: -3\/4, r, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*d + 29276 + 19688 = -415*d - 3940 for d.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 20\/33*b**3 - 1\/330*b**5 + 0 + 62*b**2 + 0*b + 19\/132*b**4. Factor x(z).\nAnswer: -2*(z - 20)*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23*i - 77. Suppose 2585*y + 186 = 2523*y. Give g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -991*v**4 - 2*v**2 - 11468*v wrt v.\nAnswer: -11892*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1520, -1125, -730, -335?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8108 times -157675\nAnswer: -1278428900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3132 - 1.3. What is b rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2 + 242. Let w = -851\/7 + d. Which is the closest to w? (a) -6\/5 (b) -1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 239*y**5\/5 + 170*y**3\/3 - 502. Find the third derivative of b(s) wrt s.\nAnswer: 5736*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*1\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnbn when four letters picked without replacement from {n: 3, b: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 284*k - 6*k - 1.\nAnswer: 290*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 20 - 1. Let d(r) = 37*r + 26. Let a be d(-9). Let u = 310 + a. Solve -u*c + n = 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34805, -34794, -34789, -34802, -34845, -34930?\nAnswer: -35069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/((-792)\/(-27)) - (-5601)\/24. Solve -64*y + 617 = l for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 482, -0.5, 5439?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*x = -2*x - 5, -4*q - 5*x + 20 = 0. Let p = -4\/3125 + 228197\/56250. What is the common denominator of p and (q\/3)\/(8\/12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06126 to 3 decimal places.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 1.5, -1, -4, 3\/7 in descending order.\nAnswer: 19, 1.5, 3\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, t: 2}. Give prob of sequence tbbt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105582.439955 - -105583. Let z = 1581 + -1580.44. Let a = g - z. What is a rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -531, -400, -269, -138, -7?\n\"Answer: 131*f - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/27)\/(-1))\/(2070\/(-9315))*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 453*c**2 - 274. Let b(f) = 102830*f**2 - 62335. Let w(s) = -2*b(s) + 455*m(s). Let h(l) = 24*l. What is h(w(p))?\nAnswer: 10920*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + (63 - 70).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/4 + 1035*u\/4 + 6951\/2.\nAnswer: 3*(u + 14)*(u + 331)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21545250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 37456110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794525278 a multiple of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1392 and -0.1?\nAnswer: 139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220911 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 74.2.\nAnswer: -1.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -81*i - 490. Determine w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 32, -1, 0, -3, -38 in descending order.\nAnswer: 32, 3, 0, -1, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1073.98 + -1074. Sort 1\/8, 1, s in decreasing order.\nAnswer: 1, 1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 + 140. Let n(d) = -184*d + 66. Let k be n(i). Round k to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*j - 213*j + 3 + 1 + 363*j + 6.\nAnswer: 365*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*v - 6810 - 9519 = 0, -2*m + 6526 = -2*v. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 155\/(-25)) + -3 + 0. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f + 862 = 26*f. What is the remainder when f is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.710919mg?\nAnswer: 4710919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/11 + 76*z**2\/11 + 546*z\/11 - 3528\/11.\nAnswer: 2*(z - 4)*(z + 21)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 1, j: 1, i: 1, w: 1}. Give prob of sequence pwi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 - 442. Let c be (-6)\/(-21) - d\/21. Solve 5*z - 4*z - c = -4*b, 10 = 2*z + 3*b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4929 and 89358.\nAnswer: 2770098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -37061400 to the nearest 1000000.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000029498 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-91)\/(-245) - 8\/14. Let t be 3\/(-3)*(0 - -1). Do c and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162580081 + 794041135619\/4884. Let y = w - 6\/407. Calculate the common denominator of 31\/14 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85688 is divided by 14276.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/4 or -4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 19*f + 898. Determine t(-47).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12 + 11)\/(-2 + 9\/5). Suppose 5*a - v*z + 24 = 9, -2*z + 3 = a. Which is bigger: -2\/7 or a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1298831100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 292.7577997 - -580\nAnswer: 872.7577997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c)\/c*c*c**5*c**8\/c**(-3))\/((c**(6\/7)*(c**(4\/3)*c)\/c)\/(c**(-8)\/(c*c**(-1\/4)))) assuming c is positive.\nAnswer: c**(593\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 9. Calculate a(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1.111.\nAnswer: 5.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 3*v - 2*v + 0*v + 5*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12872 (base 11) to base 12\nAnswer: a752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4. Let i(y) = -y. Determine -h(q) - i(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, 224, 1692, 4766, 9980?\nAnswer: 17868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**7\/2520 - n**6\/144 + n**5\/30 - 2*n**2. Let d(b) be the third derivative of a(b). What is the units digit of d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 450\/18 + -12 - (1 - 0). Solve r*q - 11*q = 2*i, 0 = 5*i + 3*q - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**4\/24 + 7*a**3\/6 + 24*a**2. What is z(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/3 (b) 10 (c) -3 (d) -4 (e) 2\/291\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 10.026. Let h = 5.1 - 4.374. Let b = h + g. What is the third smallest value in 4, -1\/5, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x - 4. Suppose -n = n - x. Let q be 1*(n + -13)\/(-3). Solve 0 = 5*h - 4*i + 13, i = -h - q*i + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3958977, 3958980, 3958985, 3958992, 3959001, 3959012?\n\"Answer: g**2 + 3958976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -27 + (-62220)\/(-986).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 9:50 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17648 is divided by 8822.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.151, 0, -2\/107, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s + 2*j + 13, -3*j + 42431 - 42428 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*s + 5)*(94 - 42*s + 126 - 229)*((4*s - s - 2*s)*(5 - 3 + 0) + 13*s - 4*s - 5*s).\nAnswer: 504*s**3 + 108*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9485 and 3569.\nAnswer: -33851965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**6\/240 - w**5\/120 - 3*w**4\/4 + 5*w. Let j(p) be the third derivative of b(p). Calculate j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4825251.\nAnswer: 3, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*sqrt(36)\/sqrt(12))**2 + (4*sqrt(84) - sqrt(84))\/sqrt(7).\nAnswer: 6*sqrt(3) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 218 and 644868743.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*l**3 + 21 + 11*l**2 + 12*l**2 - 41*l**3.\nAnswer: -3*l**3 + 23*l**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157167 to the power of 1\/2, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 1 (b) -0.14664 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 342138\/34290 - (-6)\/(-9)*15.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*h**2*p**2 + h**2*p - 7*h**2 - 62*h + 1384*p**5 wrt p?\nAnswer: -22*h**2 + 27680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49941791*g*m**3 - g*m**2 + g - 4598637*m**3 - 11*m wrt g.\nAnswer: -49941791*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m - 16. Let p be v(8). Let g be 2192\/p - (-6)\/8. Let r = -31 + g. Put -3, r, 2\/5 in descending order.\nAnswer: r, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 8*i**2 - 8*i - 6. Let g be c(8). Let p = -772\/11 - g. What is the closest to 1\/5 in 3, 1\/2, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 21*q + 90. Let v be l(-15). Suppose 16 + 10 = 13*z. Find u such that 0 + 4\/3*u**5 + 20\/3*u**3 + 16\/3*u**4 + 8\/3*u**z + v*u = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 202841.6655 to the nearest 1000.\nAnswer: 203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.75 and -10695.\nAnswer: -8021.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 5*x - 3*x. Let l = -24 - x. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 320 - 58. What are the prime factors of b?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**3 - 3*m**2 - 10*m - 5. Let y(f) = -5*f**3 + 4*f**2 + 8*f + 6. What is 7*t(c) + 6*y(c)?\nAnswer: -2*c**3 + 3*c**2 - 22*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 142520?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 198959175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqyyoqqg. Give prob of sequence oygo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbq. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:54 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46999807, -93999614, -140999421?\n\"Answer: -46999807*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1817*t + 906*t + 910*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from qvqvazaqvvq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 3 (b) -444\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 325 + -134. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**8\/70560 - h**7\/1764 - 5*h**6\/504 + h**5\/4 + h**2. Let b(l) be the third derivative of y(l). Find p, given that b(p) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 130.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*k = 0, 0 = v + 5*k + 6. Let y(n) = -v*n - 4*n + 5*n + 0*n. Let r(c) = 16*c. Give r(y(f)).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwhh when four letters picked without replacement from hhhwwhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 6*u**2 - 2*u + 14. Let d be j(6). Suppose -5*h - 17 = -d*f, -4*f - 2*h = -3*f + 5. Sort 3, 4, f.\nAnswer: f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125311 = -8*d + 5*u, -5*d - 4*u = -3*d - 31354. What are the prime factors of d?\nAnswer: 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7505)\/20*1\/(-2)*184\/23. Solve 7*t = i - 1529 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l + 1. Let k(b) = 8*b + 1. Let a be 2\/3 + (-13)\/(-3). Let t(x) = a*c(x) - 4*k(x). What is t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**2 - 4*p**2 + (4*p - p - 4*p)*(p - 4*p + 2*p))*(138*p + 65*p - 139*p).\nAnswer: -128*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:04 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/114 - 2*d**3\/19 - 5*d**2\/19 - 53*d. Suppose l(w) = 0. Calculate w.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 4*f + 2. Let w be i(2). Suppose -g - w*g = -15. What is the lowest common multiple of 2\/(-6) + 7\/3 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 0.2 (c) 1\/9 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/50)\/(-3)*(-5)\/(-22).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1196.92 to the nearest ten.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p - p + 5*p)*(-2*p - 2*p + 3*p) + 225*p**2 + 245*p**2 - 27 + 25 as x + i*p + m*p**2 and give m.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(sqrt(95)\/(sqrt(25)\/sqrt(5)) - sqrt(19))**2 - ((sqrt(114)\/sqrt(6)*3)**2 - -1*sqrt(76)).\nAnswer: -175 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3715 is divided by 286?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/3, 33\/8, -0.113 in ascending order.\nAnswer: -0.113, 8\/3, 33\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -19 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 1372?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -37*n**6\/6 + 635*n**3\/3 - 2*n**2 + 224*n. What is the derivative of a(x) wrt x?\nAnswer: -2220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48480000 to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 4*s**4 + 21*s**2 - 22*s**2 - 6*s**3 + 2*s to the form g + i*s**3 + v*s + w*s**4 + r*s**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, q: 7, o: 3}. What is prob of picking 2 o?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a factor of 667762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 2, o: 1, m: 1, i: 2}. Give prob of sequence ioim.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.95 + 3. Let x = k - -0.95. What is the biggest value in x, -2, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2441*y + 2437*y + 107608, -53784 = -2*y - 3*j. What are the prime factors of y?\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52908101.\nAnswer: 83, 637447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from mqamnmnqqm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 557404, 1114823, 1672242, 2229661, 2787080?\nAnswer: 3344499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 951 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5*l = 4. What is the smallest common multiple of l and (-24)\/(2 - (-8)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l\/l**(-15))*l)\/(l**0*l*l*l))\/(l*l**(-2\/5)*l\/l**12*l*l) assuming l is positive.\nAnswer: l**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 a factor of 3447278398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*z + 9737 = -0*z, q - z = 1953. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. Let x = -8 - -9. Suppose 3*j - x = -l. Sort 3, j, -3 in decreasing order.\nAnswer: 3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 261\/46, 0.1, 2?\nAnswer: 261\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1) + (-6 - -13). What are the prime factors of (62\/b)\/((-5)\/(-15))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 237957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b9 - 11?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4343.3 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57080718 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)*c)**(1\/19) assuming c is positive.\nAnswer: c**(-10\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18384 + 47.9\nAnswer: -18336.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*7\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f. Let d(c) be the second derivative of 0*c**2 + 3\/2*c**3 + 0 + 3*c. Calculate d(o(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 27*u + 25. Is c(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304000 and 32148?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127 + -179. Let v be 1561\/1612 - (-8)\/j. Let y = -3\/4 + v. Is 0 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Let x = -21 + 21. Suppose q - 7 + n = x. Solve -2*o + 2 = z + o, -q = 5*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - 2*l + 2*l)*(-4*l - 4*l + 5*l) + (-3*l**2 + 4*l**2 + l**2)*(-2 + 3*l**3 + 2) + (l**2 - 3*l**2 + 3*l**2)*(-2 + 2*l**3 + 2).\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -1.6 (b) -0.1 (c) 0.2 (d) 0.3 (e) 0.356 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 7*r**2 - 4*r + 38. Let j(l) = l**2 + l. Let h(v) = 21*j(v) + 3*t(v). Find the first derivative of h(z) wrt z.\nAnswer: -9*z**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34424, -68902, -103386, -137876, -172372, -206874?\nAnswer: -241382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20850 = -2604*f - 2*q, -2*f - 8*f + 4*q - 1 - 2 - 1 = -5*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-39) - 2\/13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/11137 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -70. Let o = w - -34. Let k be (1 + (-26)\/5)\/(o\/(-50)). Are 1 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 0 + -4 + (-72 - -95).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7 = -d, -2*d = -5*d - 5*o - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 363542219 to the power of 1\/3, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2, 1.5, 0.3, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 155\/4, -3\/16, 0.2, -1.\nAnswer: -1, -3\/16, 0.2, 4, 155\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -1\/12*h**4 + 0*h**5 + 2\/9*h**3 + 0 + 1\/180*h**6 + 0*h - 3*h**2. Factor g(y).\nAnswer: 2*(y - 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmmmmmttmmmt. What is prob of picking 4 m?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 3*y - 2. Let o be a(4). Suppose -h = -3*u + 7, -u + o = 5*h - 11. Suppose -h*t + 5*q = t - 424, 4*q - 246 = -2*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -2\/51 in decreasing order.\nAnswer: 0.2, -2\/51, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((1242\/(-36))\/(-23)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222402 and 606.\nAnswer: 222402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*j + 1918 + 1912 - 3830 - 8753*j.\nAnswer: -8241*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 3*i. Suppose -3*p - 51 = -5*x + 29, i = -2*p. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -373\/132 + 3577\/1320. What is the common denominator of d and -37\/16?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11589, 16193, 20797?\nAnswer: 25401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -k. Let h be 8\/(-14)*5\/k. Let q(y) = y**3 + 5*y**2 + 22*y + 71. Let l be q(-4). Which is the closest to 1? (a) h (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.53 + 15.53. What is the second smallest value in 1\/2, -3, 0.3, a, 2.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926.33 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/36, -5, -10, -2, 0.1, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i*s**2 + 34*i*s + 103279*i - 379*s**2 wrt s.\nAnswer: 2*i*s + 34*i - 758*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + 2.97. Let m = d + -3.0000002. What is m rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28568268 and 168.\nAnswer: 399955752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u - 11. List the prime factors of i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000024364 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*i = -2*v - 983, -3*i = 12. Suppose 8*p = 3*p + v. Suppose m + 5*q + p = 2*m, 3*q = -5*m + 185. Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4253313 to four dps.\nAnswer: 0.4253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 818*v**4 + 25*v**2 + 1598*v**4 - 784*v**4 + 2*v + 1 as s*v**2 + w*v**3 + z*v**4 + u*v + j and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(3*1*(-34)\/(-34))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -166.\nAnswer: 49.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 6, -114?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4878.28 - 2.26664.\nAnswer: -4880.54664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22628?\nAnswer: 2, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*t - 38 + 1802 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 10. Let a = l - -65. Let z be -1*(-3)\/(-1) + a. What is the highest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -39. Let t = 239.2 + -239. What is the second smallest value in v, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 2*m**3 - 5*m)*(4 + 1 + 1) - m**3 - m**2 + m**2 + (-m**3 + 13*m**2 - 13*m**2)*(4 - 1 - 4) + m**3 + 0*m**3 - 3*m**3 + 38 - 38 - 91*m**3.\nAnswer: -105*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 11:34 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13676 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8 + 10 = 0. Is 1\/((-2)\/q) - -12 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1415025?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + 1. What is the remainder when g is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151067 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: Suppose -5*p = 30, 21 = -56*t + 59*t - 4*p. Is -0.01965 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3, -9, -63, -35 in decreasing order.\nAnswer: -2, -3, -5, -9, -35, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -145 and -10470.2.\nAnswer: 1518179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -39. Suppose -12*u + h = -11*u. Find the third derivative of 15*w**2 - 7*w**5 - u*w**2 + 14*w**2 wrt w.\nAnswer: -420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12270.8687 to the nearest integer.\nAnswer: 12271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 10*z**2\/7 + 12*z\/7.\nAnswer: 2*z*(z - 3)*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -8. Let k = r - -7. Which is the third biggest value? (a) 0.1 (b) k (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/6*(1027 - 1024)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1261149.607 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 - 195*s**3 + 78*s**3 + 2*s**4 - 81*s**3 - s in the form y*s**2 + j + a*s**4 + t*s + v*s**3 and give v.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215552179292 + 5*o - 215552179292.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -19*v**3\/2 + 37*v**2 + 4*v = 0.\nAnswer: -2\/19, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 431133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5 + 7 = 0, 15*y - 20*y + 5*k + 55 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108220 and 420.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(1\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*t**3 + 2937*t - 2937*t + (1 - 1 + 2)*(7*t - 7*t + 3*t**3) as g + u*t**3 + f*t**2 + s*t and give u.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -11*q**4\/2 + 27*q**3\/2 + 29*q**2\/2 - 27*q\/2 - 9 = 0.\nAnswer: -1, -6\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1160*l + 1169. Determine v(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 12*z**2 + 35*z + 28. Let u be y(-7). What is the greatest common divisor of u and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 752*s**5\/5 - 463*s**3 + 986. Find the third derivative of f(i) wrt i.\nAnswer: 18048*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 426311 or 426262?\nAnswer: 426262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -15\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 7. Let k = -36 + 39. Let p be y(k). Solve 0 = -r - p*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1. Let l(s) = s - 7. Let q(i) = -2*a(i) - l(i). Determine q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508500 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 - 131.3. Let s = -17 + g. Which is the closest to s? (a) 0 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 185*v. Let c(l) = 7*l**2. Calculate k(c(p)).\nAnswer: 1295*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292*i**3*w**3 + 50*i**3 + 2*i**2*w**3 + 6*i*w**2 + i + 4*w**3 wrt w?\nAnswer: -1752*i**3 + 12*i**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:27 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1708, 71, 5?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + 26 + (-1 - 0\/(-1)). Suppose b*u + 2619 - 9099 = 0. Is u a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*f**2*g*y - f**2*x*y + 2*f**2*y - 60*g*x*y + 594*x*y wrt g?\nAnswer: 24*f**2*y - 60*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-10)\/34) + -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 4 (b) 0.31 (c) 3 (d) -15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35664874.\nAnswer: 2, 7, 2547491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*n**4 + 1385*n**2 wrt n.\nAnswer: -1512*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 9*g + 42. Determine d(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 2*a + 7. Let k(s) = -20*s**2 - 10*s + 6. Let o(v) = 5*v**2 + 2*v - 2. Let u(c) = 2*k(c) + 9*o(c). Determine -6*j(q) - 7*u(q).\nAnswer: -5*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52523023*c**3 - 90887416*c**2 wrt c.\nAnswer: 315138138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.588078l?\nAnswer: 2588.078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.6 + -7. Let v = r - -1.8. Let t = -6.8 + 9.8. Sort v, t, 0 in increasing order.\nAnswer: 0, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {m: 1, x: 5, f: 1, g: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 1223, 2769, 4943, 7751, 11199, 15293, 20039?\nAnswer: 25443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**8\/1680 - 2*f**7\/525 - f**6\/120 - f**5\/150 + 11*f**2. Factor y(v).\nAnswer: -v**2*(v + 1)**2*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = n, n + 15 = 4*n. Let f = -278230\/7 + 39658. Let g = f - -89. Is g <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22177356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.3 take away 96.16?\nAnswer: -48.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4971358177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*w**2 - w**3 + 4*w - w**3 - 3*w - 10 to the form m*w + z*w**3 + d*w**2 + p and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -19831674 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -411\/7. Let p = -2.81 - 0.25. Let j = 2.06 + p. Is v at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0)*2 - 1. Let y = -4 - 2. Let g be 2\/3 + (-14)\/y. Calculate the highest common divisor of g and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 + 49 = -2*j, 3*j - 57 = -3*s. Suppose -s*p = -17*p - 15. Calculate the greatest common divisor of p and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 8*k - 6. Suppose 4*s - 12*s + 40 = 0. Determine u(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -12*h + 10*h - 35, -4*h = -3*i + 35. Find the third derivative of -14*z**4 + z**5 + 3694*z**2 - 3994*z**2 - 3*z**i wrt z.\nAnswer: -120*z**2 - 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 272 - 576 - 346 + 7*x + x to o + d*x and give o.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 15. Let x(m) = -3*m + 31. Calculate -5*s(k) + 2*x(k).\nAnswer: -k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 120 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p + 4*p**2 + 8*p + p**3 + 0*p. Let q be a(-3). Let -8\/7*l**q + 4\/7*l**2 - 8\/7*l**4 + 10\/7*l - 2\/7*l**5 + 4\/7 = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**2 + 24*g - 18. Let k(a) = 4*a**2 - 21*a + 15. Let z(j) = 7*k(j) + 6*y(j). Let c(h) = 15*h**2 + 5*h + 5. Determine 6*c(x) + 10*z(x).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 14. Let m be w(-3). Suppose 2*l + 6 = m*i, 5*i + 10 = -3*l + 41. Suppose -4*f + 5*d - 221 = -7*f, 150 = 2*f + l*d. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -15. Let z = a - -1. Let n = -51 + 54. What is the second smallest value in z, -3\/7, n?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(15\/2))**(-10\/9))**(-2\/79) assuming c is positive.\nAnswer: c**(190\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370635787 and 6?\nAnswer: 2223814722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 489*w - 502*w - 78 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 45*v**2 - 2*v - 4. Determine y(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - m = 3*m + 4895, 0 = -a + 3*m + 979. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (1 - 2) + (46 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68089)\/(-14910) - 3\/(-30).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2304665 (base 9) in base 3?\nAnswer: -2100011202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 + 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c - 3. Let d be f(-3). Is 6252\/d + (-8)\/(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/5, 0.2, -0.3, 8, 1.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = -7*w + 20, 0 = w - 2*s - 9. Solve -25*t + 22*t - 7 = k, -5*k + 37 = -w*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1048 = -3*d, -4*d + 3*d - 3*u = -358. Let v be (-7 - -1)\/((-24)\/d). Suppose 0 = -3*n - n + v. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + 104 - (-4 - (-11 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3840397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/6 - 2*k**3\/3 + 43*k**2\/2 - 4*k - 7. Differentiate i(a) with respect to a.\nAnswer: 4*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122220101 + 2?\nAnswer: 122220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (16 - -1)) + (-3712 - -3713) + -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011011100111000111001 (base 2) in base 16?\nAnswer: -adce39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 613.79 + 58.41. Let i = 608 - l. Let v = -65 - i. What is v rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157529 a multiple of 477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -10. Let f be t + -3 + -1 + 1. Let v(y) = 7*y**2 + 2*y. List the prime factors of v(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 5. Let y be f(5). Let d(p) = 0 - 12*p**2 + y + 14*p**2. Let c(h) = -h + 3*h + 2*h. Determine c(d(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 179928 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -28360*h**2 - 20*h - 500. Let q(r) = -4051*r**2 - 3*r - 75. Let d(c) = -6*k(c) + 40*q(c). Let b(m) = m. Determine d(b(j)).\nAnswer: 8120*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13213119*z + 13213119*z - 47*z**2 - 81 to the form a*z**2 + i*z + x and give x.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61075 is divided by 1212.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003517463 to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124191294 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3541 - 3541 + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -745\/2, 0.1, -0.22, -1 in decreasing order.\nAnswer: 0.1, -0.22, -1, -745\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9548, 19097, 28644, 38189, 47732?\n\"Answer: -x**2 + 9552*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1148 - -1142) + (2 - (764\/(-128) + 2)).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 4*a - 4*a. Let z(k) = 2*k**2. Give f(z(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -160, -250, -444, -778, -1288?\n\"Answer: -6*q**3 - 16*q**2 - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1824*m*n**3 + 6*m - 60 wrt n?\nAnswer: -5472*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*u + 3*j, 32 = -u - 3*u - 5*j. Let m be ((-6)\/11)\/((-288)\/(-3600)) + (7 - 0). What is the nearest to 2 in u, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78307456 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1096 - -1094. Which is bigger: q or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2671*m - 2666*m + 2 = 2*y, 3*m + 3*y + 18 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 0*h**2 - 8*h + 10*h - 1 + 4*h**2. Let z be (-8)\/(-5) - 10\/(-25). What is the tens digit of s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -28*t + 26*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 49 = -2*q. Let h(t) = 3*t - 21. Let k(j) = j - 7. Let d(u) = q*k(u) - 2*h(u). Give d(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*y - 0 + 23, -14 = 2*w + 5*y. Suppose 2*t = -w*t - 5. Let u = -23 - -20. Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 1 + 1)*(30*j**4 - 7*j**3 - 18*j**4 - 11*j**4 - 2).\nAnswer: -2*j**5 + 14*j**4 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13306 (base 8) to base 5.\nAnswer: -141310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1398*w + 75478. Give m(54).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2743*m**2 + 7 - 7 + 2977*m**2.\nAnswer: 5720*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -743 - 326. Let p = -638 - x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 + 144. Let i = j - 19. List the prime factors of i.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 12075*x + 4801630.\nAnswer: 5*(x + 502)*(x + 1913)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1320 - -1322. Determine w, given that -3*w**v - 4 - 1\/2*w**3 - 6*w = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6 - 8 + j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888484.\nAnswer: 2, 13, 23, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 42. Suppose -g*n - 20 = -14*n. Solve n*p - 2 - 14 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40038225*g**2 + 3*g**3 + 40038225*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 2*j - 5, 0 = 5*u - 3*j - 72. Calculate the remainder when 329 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 23 = 37. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-98) - (-12)\/(-42)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tnbbbbtbtn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 + -5)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 547034849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -342434.\nAnswer: -76\/171217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4935.626.\nAnswer: -4935.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 5536.75619 and 7.\nAnswer: 5543.75619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-42)*4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f - 980 = -320 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/11)*o)\/o)**(1\/4))**20\/((o**1)**(1\/7))**32 assuming o is positive.\nAnswer: o**(-282\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, u: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 31846\/63655 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5310990 and 120?\nAnswer: 21243960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - (-94)\/(-6). Let r = 8 + -32. Let k = q - r. What is the greatest common divisor of 40 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 344.91 - 343. Let f = g + -1.909999833. What is f rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -268 + 285. Solve j - 22 = -x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 14000?\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6 - 3\/(-2). Let p = w - -25. Calculate the common denominator of p\/(-10) + (-4)\/10 and -115\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3*r**2 - 5 + 2*r**2 - 2*r**2 in the form k*r**2 + l + s*r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018446 rounded to 5 dps?\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1*w)**39)**(-6\/13) assuming w is positive.\nAnswer: w**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*o + 4*x, 0*o + 5*x + 33 = 3*o. What is the greatest common divisor of o and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 - 2*y**2 - 2*y - 1. Let k be v(-1). Suppose -k*q - 12 = -5*q + 3*m, 0 = 2*m. Calculate the greatest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o**5 + 2*o - 3*o**5 + 4 - 4 + (-o + 6*o + 2*o)*(-10*o + 10*o - 2*o**4))*(-5 - 5 + 2).\nAnswer: 120*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24*l. Let h(f) = -10*f - 8. Let z be h(-13). Let w(g) = z + g - 61 - 61. What is w(p(j))?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12048333*c**3 + 28085*c**2 + 8*c + 6 wrt c.\nAnswer: 72289998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-16))\/(-3)*-6*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3195924109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 + 22 = 0. Find the third derivative of d*g**4 + 0*g**4 - 4*g**4 - 2*g**2 - 3*g**2 wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - -2010?\nAnswer: 2029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aia when three letters picked without replacement from {a: 6, i: 12}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(24) - (sqrt(120)*-1)\/sqrt(5))\/sqrt(12))**2 + sqrt(18)\/(sqrt(144) - sqrt(9)) + 0 + sqrt(2) + 2.\nAnswer: 4*sqrt(2)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5616.6 centuries?\nAnswer: 561660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2804, 2, 1, -2767, -4 in increasing order.\nAnswer: -2804, -2767, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/30 - 42\/15. Let j(k) = 4*k - 2. Let q be j(4). Let n = a + q. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016\/16 - (12\/(-9) + (-69)\/(-18))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33677428?\nAnswer: 2, 23, 43, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(12\/104*13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -27015355?\nAnswer: 54030710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2. Let y(i) be the first derivative of -7*i**2\/2 - 9*i - 16. Let t(j) = 2*j + 2. Let h(f) = 18*t(f) + 4*y(f). Calculate v(h(b)).\nAnswer: 256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 1820 + 5005 = 0. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*r**3 + 2*r - 1163 wrt r.\nAnswer: -105*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54246 >= -7\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + d - 1. Let b(l) be the second derivative of -5*l**4\/12 + 5*l**3\/6 - 3*l**2\/2 - 4*l. What is -b(g) + 2*p(g)?\nAnswer: 3*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Which is the fourth smallest value? (a) 4 (b) -20 (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2948 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 10. Let b be 2 + (27 - (7 + t)). Solve 5*w = -5*m + 25, -7*w + 4*m + b = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 + -1.7. Let h(y) = y**2 - 22*y + 55. Let p be h(19). Let v = 26 + -29. Which is the nearest to 3? (a) p (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000100 + -100?\nAnswer: 110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 + 94. Let z(q) = 11*q + 7*q - y*q**2 - 18*q. Let j(t) = 3*t. Give j(z(s)).\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 10*y**2 - 3*y + 3. Give h(-4).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 17. Let g be m(-13). Suppose -3*n - 8 = -2, 5*n = g*o + 9798. Let l = 3513 + o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxg when three letters picked without replacement from {l: 1, e: 7, d: 2, g: 2, x: 4}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from {p: 2, z: 2, l: 3, a: 6, w: 4}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -20*y**2 - 231*y + 13. Let t(z) = 17*z**2 + 231*z - 11. Calculate -5*p(d) - 6*t(d).\nAnswer: -2*d**2 - 231*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1181 - 1181 + 24*w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Is 12 a factor of (-142)\/(-6) - u\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*t**2\/7 + 38*t\/7 + 6\/7.\nAnswer: -2*(t - 1)*(22*t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/326893 and -9\/7.\nAnswer: 326893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*k - 33. Let w = 13 + -1. Does w = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 40. Suppose -2*d - o = 0, a - 5*a = -4*d - 224. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {p: 9, g: 1, i: 1, e: 1, a: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 766*v**2\/13 - 560752*v\/13 + 29280\/13.\nAnswer: 2*(v - 732)*(383*v - 20)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 751\/71 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4304 - 2838. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 443*v + 1288. List the prime factors of i(16).\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 307681 and 48191?\nAnswer: 3707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1789)\/(6\/(-18)*3). Let b = n + -745. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2496 and 1248?\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8632 = 371309*a - 371392*a for a.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, b: 9, w: 4, o: 1, y: 2}. Give prob of sequence by.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 2, m: 4, o: 1}. What is prob of sequence mm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/132 and -79\/21060.\nAnswer: 231660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (5 + 5)\/(-5). Suppose 5454 = 2*m - 4*w, -y = -3*w + w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 27*r - 3*r**2 + 28*r + 2*r**2 to the form c*r**2 + i*r + g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from nnxnnooonwnno?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 247*y**2 + 204*y**2 - 10 - 449*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -18, -16, -6, 12, 38?\n\"Answer: 4*m**2 - 18*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjqgqjqjjqjtjjq. What is prob of sequence tq?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74\/237 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.3, -1\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 22. Suppose -9 + 29 = a*l. Suppose l*x - 1 = -2*q + 33, 4*q + 5*x - 58 = 0. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*p**4 + 2 - 7*p**4 - 2*p**3 + 10*p + p**2 + 28*p**4 in the form c*p**3 + i*p + h + x*p**4 + k*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**4\/12 + j**3\/6 - 26*j**2. Let r(l) = -5*l - 3. What is -11*q(d) - 4*r(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 4793*x - 144690.\nAnswer: (x - 30)*(x + 4823)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7812 divided by -2.\nAnswer: 3906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 - -207. Let c = k + -77. Is c greater than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780 = -69881*z + 69911*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38156752 times 1?\nAnswer: -1.38156752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1033639?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16365014251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 97 = -q. Let i = q + 107. Let t be (-3)\/(-5) + (-26)\/10. Which is the nearest to t? (a) i (b) -0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5950*i**2 - 21948*i wrt i?\nAnswer: 11900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + 638. Let r = -472 + p. Is r a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 6750 - 1470. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156ad (base 14) in base 11?\nAnswer: 37195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3835.8688 and 59?\nAnswer: 3894.8688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 391896 = -2*q, -2*q + 19237 - 175987 = -2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + 5.5. Round x to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 939 - 928. Suppose 4*i - 6*i = -242. Calculate the highest common divisor of f and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-9)\/6)*(-21)\/28.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -924868661 + 924868554.9999806. Let o = -106 - u. Round o to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -40 (b) -0.3 (c) 34\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f**3 + f**2 - 3*f + 3. Let a be u(1). Suppose 4*i + a - 70 = 0. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9498192 and 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/8 and 73\/2148?\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*q - 3 = -2*n, 3*q + 12 = -4*n. Let g = 3 + n. Suppose g = 4*b - 0 - 52. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30184*d - 4*d**4 + 44*d**2 - 1 + 2*d**4 + 30187*d - 7*d**3 - 14*d**2 as c + t*d**4 + m*d**2 + f*d + o*d**3 and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-128)\/(-5))\/(-2))\/((-8)\/960) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 5:42 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429.00156 minutes to days.\nAnswer: 0.29791775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.239 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(128) + (1*sqrt(19)*1 - (0 + (sqrt(19)*-2)**2)).\nAnswer: -76 + 9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b + 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2) + -2 - (16 + -22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3305 + -1808. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1406, 0, 5 in decreasing order.\nAnswer: 5, 0, -3, -1406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*m - 308, 276 = 4*m - i - 3*i. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 4*v - 6. Let i = 60 + -56. Let h be n(i). Let q(s) = -s**3 - 4*s**2 + 10*s + 3. Calculate the smallest common multiple of 7 and q(h).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174919 is divided by 3106?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -2*i, -5*i - z - 2*z = -34. Suppose 0 = i*w - 15, 3*w = v - w - 2. Solve 2 = -4*o + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*f - 33, 0*u + 3*f + 7 = -4*u. Let j be (172\/10)\/u + 36\/90. Suppose -2*d = -1 - j. Solve 0 = -d*t - 3*n - 8, -5*n = -2*t - 0*n - 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 190. Let n = -1.2 - -0.2. Which is the closest to 0.2? (a) l (b) 2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-3)\/((-6)\/(-2)). Let s(p) be the first derivative of p**3\/3 - p**2\/2 + 2*p + 253. Calculate s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/((-1)\/(-84)*6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 148738638 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 61*x - 130. Let d(k) = -18*k + 43. Give 7*d(s) + 2*o(s).\nAnswer: -4*s + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014209287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8480 + 8480.03511. What is y rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.86188384 rounded to three decimal places?\nAnswer: 0.862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 829. Let t(m) = 77*m + 9. Let w(n) = -17*n - 2. Let g(h) = 2*t(h) + 9*w(h). What is j(g(a))?\nAnswer: -a + 829","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3144 (base 8) to base 6.\nAnswer: -11324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1386647 >= -1386647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g = -49*g - 84. Suppose 3*r = r + 24. What is the greatest common factor of r and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -97, -136, -175?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 35*k + 7 + 4)*(-17*k**3 + 5*k**3 + 22*k**3) to s*k + r*k**4 + t + i*k**2 + u*k**3 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 6*u**2 + u - 5. Let j be f(6). Let i be (j\/7)\/(1\/(-2)). Let o = 7077 + -7080. Sort -3\/8, i, o, -1.\nAnswer: o, -1, -3\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 395, -76, -8, -1, -5 in descending order.\nAnswer: 395, -1, -2, -5, -8, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and -103?\nAnswer: -2987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 + 0.16999. What is z rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, q: 7}. Give prob of sequence qq.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15116516 (base 8) to base 6\nAnswer: 201523342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1356 and 593250?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + (-32)\/56*-7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + i + 8863 + 7507, 3*i + 16360 = 5*b. Does 35 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1076*x + 1 - 455*x + 660*x.\nAnswer: 1281*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1664, -1718, -1772, -1826?\n\"Answer: -54*c - 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.52472 (b) -28 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36452 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1))**(-39)*u*u*u*u**(-5)*u*u*u\/(u\/u**(-6))*(u\/(u\/u**0))**7*(u\/(u\/(u*u*u**1*u*u)))**(-11) assuming u is positive.\nAnswer: u**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 42*o + 288. Let t be j(48). Which is the closest to 2\/9? (a) -0.4 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3112 and 27662957?\nAnswer: 221303656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -4. Let x = 31.6 - 32. What is the third biggest value in x, -0.2, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - 2 - 29\/(-1) is divided by (-1 + 25)*(-16)\/(-24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:38 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4368 - 5826. Do -0.1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -329.2 - -328.2. Let l be 3\/7 + 8\/(-35). Which is the nearest to 1? (a) l (b) -2 (c) 0.3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6109950 by 26450.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, t: 7}. What is prob of sequence zz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(-40) - (26 - 1 - (-359 - -380)).\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38053095 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161486 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47294335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 124543819 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -165, -173, -185, -201, -221, -245, -273?\n\"Answer: -2*q**2 - 2*q - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*a = 33*a - 42456. Calculate the lowest common multiple of a and 20.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -66*o - 10. Let p be (2\/4)\/(5\/(-30)). Let a be t(p). Suppose -4*b = 4*w - a, -b + 3*b - 238 = -5*w. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c3 (base 13) to base 2\nAnswer: 1111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-3)*n))**(1\/11)\/(n**11*n)**(9\/5))**(-1) assuming n is positive.\nAnswer: n**(1178\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(4 - 4 - 2) - 3 + 4 - 2)*(8*d + 8*d - 6*d).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -46, -5, -2083, 1 in descending order.\nAnswer: 1, -3, -5, -9, -46, -2083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 4 + 2)*(-17*w - 3*w + 0*w) to the form m*w + h and give m.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54 + (-29 - 22) + (-2)\/(42\/31). Factor q*r + 34\/21 - 2\/21*r**2.\nAnswer: -2*(r - 17)*(r + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5980, -11961, -17942, -23923, -29904?\nAnswer: -35885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 31*z**2 + 2*z + 73. Let v be s(-31). Suppose -v*b = -6*b - 440. Calculate the remainder when b is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = r + 16, 2*m + 2 = 0. Let h = r - -44. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 5. Determine v(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*t + 36, -5*t - 4*o = -t - 32. Let u(a) be the third derivative of a**6\/120 - a**5\/5 + 25*a**4\/24 - 13*a**3\/6 - 44*a**2. Is 9 a factor of u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - p - 165526, 3*p = -56 + 50. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 4*u**2 + 6*u + 7. Let k be j(-5). Suppose 3*s = 9, -k*d - 3 = 3*d - s. Suppose d = 3*i + 6, r - 5*i - 22 - 14 = 0. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(3 + (-18)\/4). Suppose y*j - 39 = 51. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145827)\/10802 + 261\/2?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6272*d**2 + 15052*d**2 - 21323*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 + 14694*o**4 - 20569194*o**3 + 6058766724*o**2 + 12179299821*o + 6099949206 = 0. What is o?\nAnswer: -1, 402, 2249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-836)\/(-24) - (-2)\/12. Suppose -3*y + b = 11. Suppose 3*g + 80 = y*g. Calculate the remainder when 47 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 1873*w**2 + 14550*w + 3990. What is v(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g - 2*g + g + (-4 + 1 + 2)*(0*g + 0*g - 7*g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 26*x**2 - 24*x + 18. Let k be m(-25). Is (-128)\/(-2) - (-9 - k) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640921 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 19 = 2*h, -i - 60 + 21 = -4*h. Suppose h*t = t + 45. Calculate the greatest common factor of t and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**25*w*w*w**23*w assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96744911?\nAnswer: 96744911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -98, -247, -450, -707?\n\"Answer: -27*i**2 - 68*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 - 3*t**2 + t - 2. Let j(k) = -k**3 + k**2 - k + 1. Suppose 0 = -c - 4, -3*c = -5*p - 6*c - 7. Determine p*j(r) + f(r).\nAnswer: r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7307 + 330?\nAnswer: 7637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15016\/7 - -2127. Let t = a - -93\/5. Let f = t - 3\/5. Find the common denominator of f and -28\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/4 - 1490*s**2 + 2564293*s\/4 + 2576217\/2 = 0. Calculate s.\nAnswer: -2, 469, 5493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2\/5, -2, 0.3, 0, -475 in ascending order.\nAnswer: -475, -2, -2\/5, 0, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25864809 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: Collect the terms in 15*x**2 - 37*x**2 + 10*x**2 + 15*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 14*k**2 - 42*k + 31. Let y be t(10). Solve p + 4*p = 3*z - 19, -4*p = -z + y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5548 is divided by 297.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 34. Calculate the remainder when 30 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93002 * -4\nAnswer: -372008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 955 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:02 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = 3*g, 0 = 3*g - g - 3*q - 1. Let k be -871 - g\/(2\/(-2)). Is (-1)\/(2*2\/k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 63 = -65 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 648340?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 8:02 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 31*a - 24. Let i(g) = g. Determine s(i(z)).\nAnswer: z**2 - 31*z - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*h - 58*h + 1405 + 350 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Suppose -t + 1 = 0, 2*t + 549 = 5*o + t. Suppose 5*c + o - 105 = 0. What is the third biggest value in -2, y, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-71) - (-57595582)\/834889?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -457918*i + 2. Let w(m) = 743*m. Calculate w(k(a)).\nAnswer: -340233074*a + 1486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2244*i - 2284*i + 74 - 12 to the form c*i + z and give z.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(8)\/sqrt(4) - -3*sqrt(6)\/sqrt(3))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116933143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 542 - 24?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -102*z - 362. Let o be y(-14). Is -2 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 5 - (4 - (-1 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*w + 9 - 2*w**2 + 47*w as i + o*w + j*w**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*y - y - d, d = -3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 2*q**6\/9 + 43*q**5\/60 + 13*q**4\/18 + q**3\/6 - 176*q. Factor w(b).\nAnswer: b*(b + 1)**2*(20*b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/1)\/((-4)\/8). Suppose 0 = -n - 2*n + s. Suppose x - n*x + 18 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (-48)\/(-40)*75\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 57 = 14*h. Calculate the remainder when 92 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3424388 = 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17043 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100220021 (base 4) to base 5.\nAnswer: 4134410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*w**3 + 1 + 66*w**3 + 65*w**3 - 66*w - 2 to z*w**3 + v + n*w + b*w**2 and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 10:02 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p - 51 - 69 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211324203 - 0?\nAnswer: -211324203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 15, -2*j = -5*t - 1 + 14. Suppose n + 3*s - 5 = 0, j + 18 = 3*n + 5*s. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17356 = -3*f - f. Let a be 130353\/20*2\/3. Let z = a - f. Calculate the common denominator of -17\/4 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15488845, 15488846, 15488847, 15488848, 15488849?\nAnswer: 15488850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (46\/4 - 7)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44489, -89004, -133517, -178028, -222537, -267044?\n\"Answer: a**2 - 44518*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 184144, -5, 2.\nAnswer: -5, -2, 1, 2, 184144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*g = 40365, s - 27*g - 40365 = -28*g. Let o(h) = s*h - 40365*h - 36 - h**2. Give o(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 6*j - 3*j + 5*j to u*j + l and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12582, -12518, -12406, -12240, -12014?\n\"Answer: b**3 + 18*b**2 + 3*b - 12604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-98)\/21*(-12)\/14. Let p be (-2)\/s*(-5 + 3). Solve -9 + p = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16981 is divided by 100.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43475264*p + 25095387 with respect to p.\nAnswer: 43475264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*c - 9 - 10, -3*c = -3*y + 3. Suppose -3*m + c*m + 4 = 0. Suppose 3*h + 4*u - 21 = 0, 0 = -5*h + u + 2*u + 64. Solve 5 + h = -m*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28261 + 1328213\/47. Which is bigger: 0.2 or y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 = -r + 2*x, 2*r + 31 = 3*x. Let o be (r\/20 + 0)*-10. Suppose 15 = o*h + h. Solve 2*m + 4*t = -m + 9, -m + 5*t = -h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c + 87*c = 42*c + 4. Let f(j) = 6*j**2 + 2*j + 2. Let b(q) = -6*q**2 - 2*q - 2. Give c*b(u) - 3*f(u).\nAnswer: 6*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1314 - -1b?\nAnswer: 132f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/5 - 69444*n**4 - 3819576*n**3\/5 - 14931268*n**2\/5 - 23959626*n\/5 - 12500712\/5 = 0.\nAnswer: -4, -3, -1, 173621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6414610 and 340?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -2 + 5\/2*v**2 + 0*v - 4\/3*v**3. What is the second derivative of p(s) wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-24281223\nAnswer: 4856244.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u**2 + 2*u + 3. Let r be y(0). Solve r*d = -m - 4, 4*d = -3*m - 2*m + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575f (base 16) in base 12?\nAnswer: 10b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + n + 3. Let m be r(4). Let o be (6\/(-5))\/(m\/80). Factor 2\/9*d**3 + o*d - 128\/9 - 8\/3*d**2.\nAnswer: 2*(d - 4)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98026*k**2 - 214694*k wrt k.\nAnswer: -196052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 289 + -289. Sort -2, 48, b in ascending order.\nAnswer: -2, b, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and (-6)\/(-10) + 1*81\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 1. Let l be b(-7). Suppose z = 4*z + l. What is the remainder when 21 is divided by (z - 0) + 5 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 400\/75 - 6\/(-9). Suppose 0 = 3*r - 2*q - 12 + 1, -4*r = 3*q + 8. Suppose 4*x + 23 = -5*s, x + 3*s - r = i*x. Sort -4, x, -1\/9 in increasing order.\nAnswer: -4, x, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.028 + -13.228. Let o = s + 16. What is o rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -58611*x. Let t(u) = -u - 1. Give t(r(v)).\nAnswer: 58611*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(325) + ((sqrt(130)*2 - sqrt(130)) + sqrt(130))\/sqrt(10) + sqrt(13))**2*-1 - (-1 + (-1*sqrt(13)*6 - (-2*sqrt(117))**2)).\nAnswer: -3743 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31647619 and 81724.\nAnswer: 126590476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(9\/(-3))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 1\/6*u**6 + 0*u + 171*u**2 - 1\/6*u**3 - 1\/60*u**5 - 1\/12*u**4 + 0. Give l(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -2\/11, 247859?\nAnswer: 247859","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32, 35, 38, 41, 44, 47?\n\"Answer: 3*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 5892*j**2 + 29523*j + 23628.\nAnswer: -3*(j - 1969)*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 30 + -16 + -13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/3743 - -183385\/41173. Find the common denominator of k and -2\/1055.\nAnswer: 11605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 51338532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2 = -x. Let b(z) = -2*z. Let j be b(6). Let u be j + 11 + 26\/30. Put -0.4, u, x in descending order.\nAnswer: x, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2840*q**3 - 20*q**2 - 41 wrt q?\nAnswer: -17040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/1071 (b) 5\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*q - v + 18, 11 = 3*q + v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575620 is divided by 4534?\nAnswer: 4336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 31*o. Let i(y) = -6*y**2 + 71689. What is i(h(c))?\nAnswer: -5766*c**2 + 71689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71480 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2133, -4266, -6399, -8532?\nAnswer: -10665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*(-42 + 6). Suppose -w = 2, 5*k = -0*k + 2*w + 9. Let m be ((-15)\/n)\/(k\/(-6)). Solve 4*d + 0*d + 14 = -5*t, m*d + 1 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3. Let j(m) = -m**3. Suppose -5*l = 31 - 6. Determine l*j(c) - 2*v(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 8*t + 20*t + 13*t.\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 345*k - 379. Let g(m) = 346*m - 379. Let s(v) = 5*g(v) - 4*q(v). What is the derivative of s(f) wrt f?\nAnswer: 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(3*a + 4*a - 17*a) - a - a + 6*a)*(16 + 6 + 0)*(-a + 0*a + 0*a).\nAnswer: -528*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7916*l**2 + 28402602*l - 21528.\nAnswer: 2*(l + 3588)*(3958*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/2 - (-6)\/3. Let k = a + -7. Solve -5*u - 1 = k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3098 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005915918 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*d + 2*f, -f + 2 = -d. Let g be (-5 - 1)\/(2\/d). Suppose -3*n = -5*v - 16, -2*n + 56 = 3*v + 20. Solve n = -g*q - q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12379044701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69c1eb (base 15) to base 9.\nAnswer: 10451145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7920.879 + 7917. Let t = k - 0.121. What is the biggest value in 26\/3, -2\/7, t?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5875678537\/2704 - -2172958. What is the common denominator of z and -55\/4732?\nAnswer: 18928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)\/((-5)\/130*-13). Sort 1, -34, f in decreasing order.\nAnswer: f, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215 + 220. Suppose 0 = t + j, 5*j + 20 = o*t - 0. Sort t, -2, 4.\nAnswer: -2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 8:47 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17587 is divided by 550?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56542 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33173*v**2 - 43*v**3 + 33177*v**2 - 99520*v**2 + 33169*v**2.\nAnswer: -43*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + (sqrt(1331) + sqrt(11))*1).\nAnswer: sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-43 + -27) + 135\/84 + -1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 29 - 26 = 0. Let u(q) = -q - 9. Let y be u(b). Factor 3*c**2 + 20*c - c**2 - 7*c**y.\nAnswer: -5*c*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1651?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.08904mg to micrograms.\nAnswer: 6089.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*f - 8, -27 = 10*f - 5*f - 3*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, 260, 1874, 5260, 11012, 19724?\nAnswer: 31990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41.106 + 2.574. Let p = l - -0.32. Is 0.1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59967, -59986, -60029, -60108, -60235, -60422?\nAnswer: -60681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -50. Let c = -20 - s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.97 - 1.1. Let n = m - -0.93. Let j = n - 0.7999925. What is j rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*m - 64, 5*m + 670 = -2*w + 861. Solve -w*o - 136 = -370 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 5*y + 6. Let j be r(3). Suppose -j*t + 230 = -4*t. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 58 - -72) + 20?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 697 and 7626?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**4*h + 30*f**3*h - 2*f**2 + f*h - 5*f - 51*h wrt f?\nAnswer: -72*f**2*h + 180*f*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00157752264 to seven decimal places.\nAnswer: 0.0015775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -4*t - 69, 6*t + 43 = -5*v - 26 - 32 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7691*b + 5 = 5*z + 7696*b, -2*z - 10 = 5*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - t + 0*t)*(-222*t**2 + 447*t**2 - 223*t**2)*(622 - 622 - 30*t) to y*t + g + k*t**4 + d*t**2 + i*t**3 and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2. Let s(d) be the second derivative of 3*d**5\/8 + 3*d**3\/2 + 6*d + 2. Let b(g) be the second derivative of s(g). Determine l(b(w)).\nAnswer: 2025*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1575922?\nAnswer: -5\/1575922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.619 - -2.381. Put 1\/3, -3, o, 5 in descending order.\nAnswer: o, 5, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*2\/27)\/(1818194\/55659)?\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - d - 11. Let i be n(9). Let p = -31 + i. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*j - j. Let o(y) = y**2 + 5*y - 9. Let r be o(2). Suppose -r*q = -j*q - 502. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78838056 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3483*i**3 + 8*i**2 + 8*i + 8. Let f(p) = 1159*p**3 + 3*p**2 + 3*p + 3. Determine -3*b(q) + 8*f(q).\nAnswer: -1177*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Suppose -4*f - 1 = j. Which is smaller: f or -1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1031\/3 - 340. Let g = b - 41\/12. What is the closest to 0 in -7, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2448) + -1*sqrt(2448) + 2))**2 - (sqrt(2448)*5 + sqrt(2448) + 3 + -4).\nAnswer: -72*sqrt(17) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - c**2 + 2*c**2)*(4 - 6 + 0)*(-113*c - 214 + 214).\nAnswer: 226*c**3 - 452*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1.4, -1312, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c - 17*c - 7*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136997 is divided by 130300.\nAnswer: 6697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2808 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-1\/41)))\/(j\/(j**(-5\/3)*j)*j))**(-2\/45) assuming j is positive.\nAnswer: j**(662\/5535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 1, c: 2, f: 1}. Give prob of sequence ps.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 - 336*l**2 + 331*l - 1886. Determine k(-113).\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Solve p*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3821 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 10579*q**4 - 10591*q**4 + 3*q**2 + 4*q - 2*q to the form z*q**2 + h*q**4 + i + a*q + m*q**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4594 or 3155?\nAnswer: 4594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((4 - 4)\/(-4))\/(-2). Let d be b\/((-2)\/4*8). Let a be (-1 - -3)\/(2\/4). Solve d*q - q + a*t = 0, 2*q + t = -9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2771.88ml to litres.\nAnswer: 2.77188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca0c0 (base 14) in base 3?\nAnswer: -220211020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (357\/(-17))\/(-42)*160\/500*(-10)\/12\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6408041 or 6408035?\nAnswer: 6408035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -i + 5*a, -2*i = -0*i - a - 6. Suppose i = -2*j - 6. Suppose -q + 0 = 4*b + 20, -3*q + 4*b = -20. What is the biggest value in j, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -139, -534, -1185, -2092, -3255?\n\"Answer: -128*r**2 - 11*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 4 - 7) + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/11 + (-13)\/((-104)\/(-40))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/7 - -55\/42. Let k(v) be the second derivative of 3*v - 3\/2*v**2 - r*v**4 + 0 + 0*v**3. Find the first derivative of k(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(114) - sqrt(114)*-2))\/sqrt(6) - ((sqrt(19) + -2)**2*6 + (sqrt(1539)*-2)**2)) + -4 + -5.\nAnswer: -6303 + 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - i + 45, 5*x = -3*i - i - 30. Suppose 2*s - 72 = -3*y, y - 5*y = 2*s - 76. Let w = x + s. What is w rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 31 = 9*b - 25, 4*b = -q - 17 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-15 + 8)) + 10 - -89 - -8.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -2*y**2 - 2*y + 66. Let u(j) = -4*j - 1. Calculate -3*c(n) + 4*u(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*u**3 + 2*l*u**2 + 1826*l - 3711*u**3 wrt l.\nAnswer: 2*u**3 + 2*u**2 + 1826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -45*y + 944. Calculate z(18).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Let q be ((-189)\/(-18) - 11)*-22. Suppose 0 = -q*l + 132 - 110. Solve 2*i = -d*w + 1, 3 = -l*w - 0*i - 5*i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.1, 99, -7\/5, 89\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.665658763 rounded to two dps?\nAnswer: 11.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.7 + -0.4. Let s = 7.4 + z. What is the closest to s in 2, -5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 6. Let d(z) be the first derivative of -z**2\/2 - 3*z + 227. Let c(j) = 4*d(j) - 2*h(j). Let p(l) = -5*l - 9. Determine p(c(q)).\nAnswer: 10*q - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73128589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -24936.4583 to the nearest ten.\nAnswer: -24940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a + 90. Suppose 0 = -o + 3, -a = -3*z - o - 3. Suppose 3*r - z*r = -7. What is the smallest common multiple of r and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129e (base 16) in base 6?\nAnswer: 34022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldld when four letters picked without replacement from {d: 8, a: 2, l: 2}?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32679, -65623, -98577, -131547, -164539, -197559, -230613?\n\"Answer: -q**3 + q**2 - 32940*q + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(102)*-1)\/(2*sqrt(864)))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-385) - 1\/(-11).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 870, 1740, 2598, 3438, 4254, 5040, 5790, 6498?\nAnswer: 7158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 9*k - 18*k - 15*k + 37*k + 12 - 25.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -19*t**2 - 31*t - 7. Let u(f) = -13*f**2 - 32*f - 6. Give 3*m(q) - 4*u(q).\nAnswer: -5*q**2 + 35*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -143636 divided by 1?\nAnswer: -143636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -598 - -165. Let u = -432.99999518 - n. Round u to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.57 - -0.57. What is the closest to o in 4, 0.06, -2\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1393 + -2038. Let z be (0 - -6)*678\/(-18). Let h = z - i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10571, 12130, 13689, 15248, 16807, 18366?\n\"Answer: 1559*m + 9012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 20*x = -3*f + 139, 12*x - 101 = -5*f. Calculate the remainder when 587 is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3249 or -3232?\nAnswer: -3232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69522.28 kilograms in tonnes?\nAnswer: 69.52228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -637 - -644. Solve -3*d - s = 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 4*w**2 - 16*w + 63. What is the remainder when p(3) is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 39*k**2 - 160*k - 232. Calculate the remainder when 627 is divided by x(43).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 372166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1962, -0.081, -39.\nAnswer: -1962, -39, -0.081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -569793762 divided by 6.\nAnswer: -94965627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*j - 30 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6, -3\/8, 1, 7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 2, l: 1, j: 1, k: 1}. Give prob of sequence fmk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 333457639*s**2. Let f(n) = -2*n. Give c(f(k)).\nAnswer: 1333830556*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 179960 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 5*k + 60. Is z(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 844\/(-14) + (-2)\/(-7). Let q = 111 + x. Calculate the remainder when q is divided by (-15)\/(-3) - (3 + -16).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -3*z - 44 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z + 13 + 31 = 12*z. What is the second biggest value in 41, -5, -0.8, z?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -434*m. Let x be (-6)\/8 + 4\/(-16). Let y be g(x). Suppose -a + 8*a = y. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(11\/5)\/v**15)\/(v*v**(-3)*v*v\/v**(-2\/37)))**42 assuming v is positive.\nAnswer: v**(-99876\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-1 - 4)*1. Suppose -5*u + 0*p + 63 = 3*p, -m*u = -2*p - 46. Calculate the lowest common multiple of (-1 + 19)*3\/9 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 12 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**15*i*i)\/(i*i\/(i\/((i\/(i\/((i\/(((i*i\/((((i*i*i**12*i)\/i*i)\/i)\/i))\/i)\/i)*i)\/i*i)))\/i))) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*r - 15*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/2 - 22)*1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004996 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43786*a - 120 = -43762*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000058427 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 7. Suppose 0*i - 5*i = g + 35, -2*g - i = 25. Let o be w(g). Let c = o - -5. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 452956?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/9 - 4*t**2\/3 + 2*t + 28\/9 = 0. Calculate t.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - 4*d)*(2 - 1 + 2)*(-2*d + 23 - 23).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**5 - 400*t**4 + 5465*t**3 - 5720*t**2 - 61260*t - 49680 = 0?\nAnswer: -92, -2, -1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -407*b**3 - 16*b**2 + 39*b + 511. Is c(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56934.39um to meters.\nAnswer: 0.05693439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 10*v**2 + 3*v)*(11*v**2 + 3*v**2 - v**2).\nAnswer: -130*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.03 + -1.33. What is the closest to 1 in 3\/7, m, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1438 and 859.43?\nAnswer: 578.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(72))**2 + sqrt(2) - (1 + sqrt(32))) + -4.\nAnswer: -15*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/13324806 and 43\/35532816.\nAnswer: 106598448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*i - 83*i - 24*i + 4368 = 90*i for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 21441.\nAnswer: 2229864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.18 + -19. Let x = b + 11.82. Let h = -12.4 + x. What is the third smallest value in 0, -1, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1630, 1849, 2222, 2755, 3454, 4325, 5374, 6607?\nAnswer: 8030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10468*x + 31444. Determine r(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258991837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 17*a**2 + 2*a + 17. Is j(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -3) + 1 + -98 + -3. Let i = k - -307. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -953*v - 918. Let n be b(-17). Calculate the greatest common divisor of n and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 499 and 17964?\nAnswer: 17964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 784, 810, 836, 862?\n\"Answer: 26*t + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70148 is divided by 1066?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401 times 0.04?\nAnswer: 136.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 8 = 2*c. Suppose c*u = -0 - 16, -526 = 3*j - 2*u. What are the prime factors of (-2)\/(-8) - (-6)\/(-16)*j?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-42)*70\/75*3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 15\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120249907 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -6 + 8 + -12 + 18?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/11 (b) -3\/53 (c) 2\/13 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -211\/35025 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*49932.31\nAnswer: 9986.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 189 - 121 = 0. What is the remainder when t is divided by (-20)\/2 + ((-1164)\/(-1455))\/(4\/75)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29289015 divided by 3.\nAnswer: -9763005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + -2 + sqrt(128))*-5)**2.\nAnswer: -800*sqrt(2) + 3303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -6 + 16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*f**5 + 98*f**4 + 31*f**3 + 256699*f wrt f.\nAnswer: -180*f**3 + 1176*f**2 + 186*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Suppose -x + 4 + 4 = -3*y, 3*x - y = 8. Solve w*t + 15 = -x*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 318\/52765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(17) + 1)*2 + -2)**2 + (((sqrt(170) - sqrt(170)*2)*-3 - sqrt(170)) + sqrt(170))\/(5*2*sqrt(10)).\nAnswer: 3*sqrt(17)\/10 + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4618 + 4623. Solve -4*a - 5*s + 40 = -0*a, 13 = y*a - 3*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-45) + 5\/(-3). What is the second smallest value in -4, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 12*h - 34)*(-2 + 3*h**3 + 4*h**2 - 3*h**2 - 5*h**3).\nAnswer: 24*h**4 - 12*h**3 + 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -4 + -6 + 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -50235235?\nAnswer: -50235235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(363)*2*-1 + -2)**2 + -1.\nAnswer: 220*sqrt(3) + 1476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-132)*(-1092)\/(-20111)*-17?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 4*f + 0*f)*(4 - 3 + 1) + (-3 + 2 + 2)*(-3 + 3 + 2*f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2213*v = -2444*v - 6468 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 6. Let g(y) = 1 - 5 + 4 + 1. Determine -6*g(z) + l(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**2 + 10*b - 14. Give j(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r = 105. What is the remainder when r is divided by (-4)\/8 - 25\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**3 + 0*x**5 + 0*x**4 + 0*x**2 - 1\/7*x**7 + 0*x**6 - 5*x + 0. Find the second derivative of s(u) wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 13, 22, 31?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i + 35. Let h(y) = 5*y + 17. Determine 13*h(f) - 6*z(f).\nAnswer: -f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*n + 15 = 0, 2*t - 3*n = 15 - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49496515 and -4.\nAnswer: -49496519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = -21. Suppose g + 5 = 4*p. Let x(b) = 2*b**2 - 14*b - 58. What is the lowest common multiple of p and x(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 10:56 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264702 divided by 562.\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(35)\/(sqrt(56)\/(sqrt(32)\/sqrt(4))))**2*6 + 3.\nAnswer: -12*sqrt(5) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 + 15\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*g**3 + 2 + (-35*g + 6 - 6)*((2*g**2 - 4*g**2 + 0*g**2)*(2 - 3 + 0) + 6*g**2 + 4 - 4) in the form h*g + f*g**3 + p + w*g**2 and give f.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 5*k**2 - 4*k**4 - 24 - k**4 + 0*k**4 - 2*k**4 + (-5*k**3 - 2*k**3 + 5*k**3)*(-2*k - 2*k + 3*k).\nAnswer: -5*k**4 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -3*b - 2*x, -2*b = 3*x + 13. List the prime factors of 3 - b*(-2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12789 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - -6 - 1\/(-1). Let b be 1 - ((w - 2) + 0). Suppose -b*k - 2*k + 44 = 0. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 10, 87*t = 4*l + 89*t - 12694. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-996)\/40*8\/(-327). Let v = l - 1\/109. Let s = 0.4 - 0. Put s, 5, v in increasing order.\nAnswer: s, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/44363 and -40\/471861.\nAnswer: 5190471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 13*n - 9. Let v be j(12). Solve 0 = -2*y - 4, -f - v*f - 5*y = 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4811 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 507537842 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - 0.06. Let r = 59 - 55. Are r and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 2.1386036\nAnswer: -2.1386036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Suppose -4*s - g*i + 14 = 0, -3*i + 4*i = s + 1. What is the derivative of -v - 2*v + s + 2*v wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.738 + -0.738. Let k be 34\/120 - 5\/25. Which is the second biggest value? (a) w (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 182728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 11*v + 27 - 2 + 2*v**2. Let m be h(-8). What is the smallest common multiple of 15 and ((-18)\/8)\/(m\/(-24))?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3186 + -54147\/17. Let t = 109\/85 - w. What is the nearest to 0 in t, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -13. Let t be 0\/3 - -4*(-9)\/(-84). Let f(b) = -b + 13. Let n be f(10). What is the third smallest value in h, n, -0.5, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335\/27874*4\/9*(-27)\/(-90)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194891917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 7:03 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 288 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -662, -2704, -6142, -10982, -17230, -24892, -33974, -44482?\nAnswer: -56422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 788 - -55?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*q - 32 = j, 0 = -5*j + 3*q + 34. Solve -5 + 3 = -j*c + m, -4*c + 3*m = -6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Suppose -2*p + 8 = 4*g, -2*g - 4*p = -0*g - 16. Let d(a) be the first derivative of 1\/3*a**3 - 2 + 0*a + g*a**2. Determine d(y(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 15 = 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2700 = 4*b + 4*r, -3381 = 5*b - 32*r + 31*r. Let l be (b\/(-80) + -9)\/((-2)\/8). Which is smaller: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/4 and 111\/308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -35389?\nAnswer: 176945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 328*k + 68*k + 51*k + 60*k + 75*k + 74*k.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -9.2?\nAnswer: 0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 50120924982\nAnswer: 50120924984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y - 75*y = -188 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 + 2 + -4 + 4. Suppose -5*f + 5*h - 5 = 0, 4*h - b - 7 = -2*f. Factor -2\/11*g**5 + 6\/11*g**f + 0*g**4 + 4\/11*g**2 + 0*g + 0.\nAnswer: -2*g**2*(g - 2)*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 11, 1, 5, 0, -4 in descending order.\nAnswer: 11, 5, 1, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*0.0471\nAnswer: -0.002826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 6*v - 1. Determine h(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825408 is divided by 398?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.661 + -1.161. Sort -0.1, h, 8, -4, -16 in ascending order.\nAnswer: -16, -4, h, -0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at least as big as 616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80879 + -36154. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16826417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 - 7*b**2 - 5*b**2. Let a(m) = -m**2 + 2*m + 4. Let x(j) = 4*j**2 - 9*j - 18. Let o(r) = 18*a(r) + 4*x(r). Give n(o(i)).\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7448938 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 + 7*g + 15. Let a be t(-3). Suppose -3*y + a + 399 = 0. What are the prime factors of y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1553 - -1558. Let z = -69 + 205\/3. Let u = 3 - 2. Which is the closest to u? (a) z (b) k (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*z = -34, -10*x = -5*x - 4*z - 54. Calculate the least common multiple of x and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3460 by -643.\nAnswer: 3460\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 19*n**2 + 216*n + 50. Give u(-10).\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + 704\/(-24) + 2 - -8. What is the second smallest value in l, -0.2, 1\/2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 + (-3)\/(-15). Let u = -0.26 + 0.46. Let k(p) = -p**3 + 6*p**2 - 5*p - 5. Let g be k(5). Which is the second smallest value? (a) g (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11480*g**2 - 20498*g**2 + 30 - 30.\nAnswer: -31978*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2*h)*(17*h**2 - 11*h**2 - 19*h**2)*(16 + 5 - 4) + 0*h + h**3 + 0*h.\nAnswer: -441*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2622*l**3 - 104*l**2 + 317*l**2 - 213*l**2.\nAnswer: 2622*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212.95 + -213. Put -4, s, 3\/5 in descending order.\nAnswer: 3\/5, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 460*b - 35498. Determine j(-98).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088*j**2 - 5587418487 + 5587418487.\nAnswer: 1088*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286648.620478 plus -5?\nAnswer: 3286643.620478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4)**(7\/2)*h**(2\/13)\/h**(-7))**43 assuming h is positive.\nAnswer: h**(11825\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -650 by -727.\nAnswer: 650\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34025 by 1361.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1157462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*u - 7. Calculate the least common multiple of u and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69681612784245 - -3.\nAnswer: -69681612784242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 59 = 38. Solve 4*u = -13 - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 7 = 5*w, 3*w + 10 = 4*w - 3*b. Suppose -5*s = -97 - 48. Let u = s + -24. Calculate the remainder when u is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, q: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12615855055 and -13054?\nAnswer: 12615868109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1576 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 1514912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 18*i**2 - 73*i - 6. Let s be z(-5). Solve s*q = 27 - 95 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -5708, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -766 - -766.3. What is the nearest to -2\/9 in 1\/8, 5, r, 1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wxxxwwxxxxx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -10. Suppose -2*j + x = 10. Let b(v) = 0 + 2*v + 2*v - 5*v - 5. What is b(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3283 - -0.0093. Let t = i + 0.019. Sort 3, -5, t in decreasing order.\nAnswer: 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 a when four letters picked without replacement from egbtagbtbebga.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 596\/2*(17 - 2 - -85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5514689239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -64*t - 575. Let g be f(-9). Is g at least 731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-1)\/((-2)\/4). Differentiate -1 + 0 - 2*h + i with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/4 - 29*f**4\/24 + 26*f**2. What is the second derivative of n(b) wrt b?\nAnswer: -180*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152895?\nAnswer: 3, 5, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 399. Let h(u) = 4*u - 138. Let q(f) = -f + 69. Let y(g) = -h(g) - 2*q(g). Determine n(y(c)).\nAnswer: 6*c + 399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3181449306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -5. Let s be (-14)\/f + 1\/5. Suppose -5*r + 22 = -s. Solve -r*j + 2*t = 8 + 10, -j + 18 = 5*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9225, 18429, 27629, 36825, 46017?\nAnswer: 55205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -2032?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3711 - -3726. Which is bigger: 421 or g?\nAnswer: 421","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 4 (c) -5 (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, -3.6, -0.0989 in decreasing order.\nAnswer: 1, 2\/9, -0.0989, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.09761 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -11, 2, 5\/71, 4\/9, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722093.\nAnswer: 722093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -117472045 + -76542.5?\nAnswer: -117548587.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29232 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 141, 789, 2545, 5961, 11589, 19981, 31689?\n\"Answer: 92*l**3 + 2*l**2 - 2*l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8360137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 7*j**2 + j - 2. Let r be k(7). Solve -3*t = -w + 15, 0 = -3*t - r*w + w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475cbb (base 14) to base 11.\nAnswer: 14145a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42)\/15)\/(1\/43380*-9) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -24. Find p such that 6 - 2 - 15*p + 15*p**3 - 20*p**4 - 9 + 25*p**s = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 5, 2\/17, -123?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28604 divided by 4\nAnswer: 7151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33653973311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 265.6 * 0.2\nAnswer: 53.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**3 - 2*m**2 - m. Suppose -s - 10 = -3*s. Suppose g = 2*i + s, 0 = 4*g + 3*i + 2*i + 19. What is the units digit of l(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35707, 70842, 105977?\n\"Answer: 35135*q + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4))**(7\/4))**(-26)*(((x*x**(-3\/8)*x)\/x)**(-37))**(1\/7) assuming x is positive.\nAnswer: x**(10007\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -937*r**3 + 530 - r**2 - 871 - 512*r**3 + 1546 wrt r?\nAnswer: -8694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535243 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 15*p - 44.\nAnswer: -(p + 4)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 21\/5, -0.016.\nAnswer: -0.016, 2\/9, 21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101 * -3990.\nAnswer: 402990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1985074 - 1985074 + 1145*h - h - 3 + 3 + (3 + 2*h - 3)*(-1 + 1 + 1) + (-2 - 5 + 5)*(-1 + 2*h + 1) + 5*h - 5*h - h.\nAnswer: 1141*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -c05a (base 14) in base 13?\nAnswer: -12041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -17*n**2 - 4*n + 1. What is d(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 1160, 4209, 10236, 20255, 35280, 56325, 84404?\nAnswer: 120531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 5, 6\/11, 366, -7.79 in ascending order.\nAnswer: -7.79, 3\/7, 6\/11, 5, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away 0.032527?\nAnswer: -0.082527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 44*f**2 + 49*f - 37. Let v be k(23). Let t be (-240)\/(2 + 1)*-2. Calculate the greatest common factor of t and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-210)\/(-55))\/7)\/((-10)\/((-50)\/5))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -940534 - -1432761. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20986.3 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 + (-1 - -5). Suppose 0 = 2*o - f*t - 9 - 30, -4*o = -t - 33. Solve -5 - o = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m = -69*m + 141 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a1498a (base 11) in base 10?\nAnswer: -3403223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29, 0, 2, 10 in ascending order.\nAnswer: -29, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**4 - 1437*r**3 + 2752*r**3 - 1380*r**3 + 2*r**2 - 3*r**2 to the form w*r**3 + x*r**2 + z*r + c*r**4 + k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45955 - -68203. List the prime factors of g.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 62 = -2*r, 0 = -3*r - 3*a + 5*a + 91. What is the greatest common factor of r and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161600437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3881*b**3 - 12416*b**3 + 54418*b**3.\nAnswer: 45883*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 413*(-2)\/(-84) - (-5)\/30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -163292*q**3 - 2*q**2 + 844251.\nAnswer: -489876*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 4*c**2 - c**2)*(-19 - 30 + 30) + 3*c**2 - c**2 - 5*c**2.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2426 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -137, -291, -435, -563, -669, -747, -791?\n\"Answer: l**3 - l**2 - 158*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13120 = -123907*f + 123702*f for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108 - -120. Suppose -18 + f = -2*l. Suppose -5*j = -l*o + 8 + 25, -4*j = 4*o - 44. What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1180 + 482295*n**3 - 630*n**4 - 482295*n**3 with respect to n.\nAnswer: -2520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-27 - -13) - -34 - -6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 1:11 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-24))\/(589\/(-169632))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124085, -124147, -124217, -124301, -124405, -124535, -124697?\nAnswer: -124897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1149.6, -3 in descending order.\nAnswer: 1149.6, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158743.\nAnswer: 13, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z - 2. Let v(h) = h**2 + 17 - 10*h + 11 - 26. Let n be v(10). Solve -5*s - 45 = z*k, 7*k - n*k + 13 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**7\/840 + p**6\/90 - p**5\/60 - 5*p**4\/24 + p**3 - 2. Let f(z) be the third derivative of n(z). What is f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10243*h - 4822*h + 1930 - 1930 to p + t*h and give t.\nAnswer: -15065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1711*h + 1347*h - 240*h + 110*h to the form t + w*h and give w.\nAnswer: 2928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -21.996. Let l = h + 33.996. Let n = 33 - l. Are -0.3 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 229347, 228736, 228113, 227472, 226807, 226112, 225381?\n\"Answer: -k**3 - 604*k + 229952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 10*j**2 + j**2 - 4*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 53\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y + 6. Let t be 13\/(-26)*(8 - 4). Give l(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13585 is divided by 503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i**2 + 3*i**2 + 2*i**2)*(-65 + 19 - 48) in the form x*i + k + m*i**2 and give m.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3577, 14391, 32447, 57745, 90285, 130067, 177091?\n\"Answer: 3621*y**2 - 49*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = 0, 5*v - 15 = m + 1. Put 4, m, 5 in decreasing order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18 - 16)\/((-10)\/4). Let w = -1 + 1.1. Which is the nearest to w? (a) 2\/7 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268978 is divided by 265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-2)*k))**(4\/11)*(k**(2\/19)\/k)\/(k**(2\/11)*k*k) assuming k is positive.\nAnswer: k**(-567\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2551311928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 5*g + 8. Let f be u(7). Let k = f - 9. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9345578 rounded to two dps?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -17*f + 84. Suppose 6*g - 8*g - f = 0. Let a be (-4)\/(-3) + (-14)\/g. Solve -a = -5*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 5*r - 2. Let n be h(4). Suppose 3*m = m + n. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9 + 6*d - 25*d**2 + 68*d**2 - d**3 - 37*d**2. What is c(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*1\/(3\/(-3)). What is the greatest common factor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*w + 40, 3*w = -4*m - 2*w - 50. Let p be ((-2)\/6)\/(m\/12). Which is the nearest to 1\/2? (a) 1 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 592*v**3 + 274*v**2 - 234114 with respect to v.\nAnswer: 1776*v**2 + 548*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) - (-40)\/12. Suppose -y*j + 5 + 18 = 4*g, 5*j - g - 23 = 0. Suppose -45 = j*z - 225. Is 28 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (19 + -21)\/(3 - (3 - 1)). Which is smaller: -41\/66 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-390)\/45)*6\/9.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 894 = h, -67*h + 69*h - 1800 = 4*c. Calculate the highest common divisor of h and 280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000090393 to six dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 3780, 7278, 10772, 14262, 17748, 21230?\nAnswer: 24708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.8 - 63. Let o = a + 6.2. Let b = -42.7 - o. Are b and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154258 and 1012798?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1004 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, u: 1, d: 1, z: 1}. What is prob of picking 1 z and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*h - 22*h + 4. Let q be -1*(-2)\/6*h*3. Which is the smallest value? (a) -1\/5 (b) 6 (c) -1\/3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571.8508 years to centuries.\nAnswer: 5.718508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27180 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 = k + 2, 3*k + 3*g - 6 = 0. Let r = 4 - 6. Which is the nearest to k? (a) 5 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664 = 4*n - 3*x, -155 = -3*n + 3*x - 650. Let t = n + 1532. Let o = t - 19063\/14. Calculate the common denominator of o and 37\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2\/3 + 36733*i\/6 + 143892 = 0. What is i?\nAnswer: -4568, -189\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13398*t + 35712 wrt t?\nAnswer: -13398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11883715 a multiple of 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 6868?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-25)*t\/(t\/(t\/t**(2\/27))))\/((t\/(t*t**(12\/5)\/t))\/t**(-3\/19)) assuming t is positive.\nAnswer: t**(-58564\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3036, -6055, -9062, -12051, -15016, -17951, -20850?\nAnswer: -23707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**29\/(k**(-37)*k*k*k) assuming k is positive.\nAnswer: k**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 3.5472.\nAnswer: 10.6416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 42723677*x**2. Let w(l) = 4*l. Give w(i(c)).\nAnswer: 170894708*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 5, g: 4, k: 1}. What is prob of sequence kgg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060444 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 + -0.05. Let o = 2.97 + v. Let w = -8 - -8.4. What is the second smallest value in 0, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 5 (c) 3\/2 (d) 13363 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7053151?\nAnswer: 7, 31, 32503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + 3*k + 3*k - 2)*(-189 - 26 - 30)*(2*k - 2*k - 4*k)*(0*k + 2*k**2 + 0*k) in the form v*k**2 + j*k**4 + y*k**3 + m + s*k and give y.\nAnswer: -3920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1605694*j**3 + 72*j**2 - 380*j + 5 wrt j?\nAnswer: 9634164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 8*d - 12*d, -5*d = 3*m + 6 - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 7*o - 6*o)*(2997*o**2 - 1334*o**2 + 1589*o**2) to q + w*o + v*o**3 + j*o**2 and give v.\nAnswer: -29268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 1 + (3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -10)\/((0 - 2) + 3). Let b(i) = 246913*i**2 + 6*i - 7. Let w be b(k). What is w rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**7\/42 - q**6\/3 + 11*q**5\/12 + 25*q**4\/6 + q**2 + 27*q. Factor w(x).\nAnswer: 5*x*(x - 5)*(x - 4)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*f + 185*f + 532 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.19664 + -53.2. Round a to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/((-2)\/196). What is the units digit of ((-4)\/14 - 553\/j)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -24 + 19 - ((0 - -43) + -9).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0 + 1 + 0)*(-2540*f + 1993450 - 1993450).\nAnswer: 2540*f**2 - 2540*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.89 + -0.9. Let h = -2.99 + v. Let t = -3 - -8. Which is the smallest value? (a) 4 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y - 5 - y**2 + 13*y - 3*y - 2*y. What is n(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/364527 and -13\/195471.\nAnswer: 13487499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 1117*h**2\/2 - 2115*h - 686. What is the derivative of o(u) wrt u?\nAnswer: 1117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -659*q**2\/2 - 57*q + 86. Is i(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -3 - 12\/3. Let b(s) = s**2 - 4*s - 2. Suppose 16 = 4*z - 0*z. Let v be b(z). Is x less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 559.7944 litres?\nAnswer: 559794.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*4\/8*527\/(-6). Let o = 101 + -13. Let l = h + o. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -84. What is the greatest common divisor of o and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404 a factor of 147801888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1 + 2 - 4) + -50. Let n = -54 - l. Let v be n\/(4 - (-3 - -8)). Solve v*x + x - 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -89*p + 891. Let x be o(10). Which is the closest to 74? (a) 3 (b) 1\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0 + 0)*(-2 + 2 - 3) + 1 + 2 - 4 + 2*k + 2*k + 2 - 2 in the form b*k + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 21. Let w(m) = m**3 + 9*m**2 - 11*m + 10. What are the prime factors of w(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-209.\nAnswer: 104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2\/13 (b) 0.5 (c) -213 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 12*r**2 + 26*r + 18. What is j(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444 a factor of 511922136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 193. Let q = 191 - l. Let j = -28 - -56. What is the greatest common divisor of q and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111 (base 3) to base 10.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 104.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -275, -415, -571, -749?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + 0.48. Let b = 40652 - 40645. Sort -14, y, b in ascending order.\nAnswer: -14, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125334498 rounded to the nearest 100000?\nAnswer: -125300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -1816654.\nAnswer: -3\/259522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51005.97 centuries in months?\nAnswer: 61207164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*i**5 + 7*i**4 - 2*i**2 + 13*i - 48 wrt i?\nAnswer: -2640*i**2 + 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2*4\/2. Suppose -1200000 = 4*g - 2*r, 7*g + j*r - 1500000 = 12*g. What is g rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 6. Suppose 6*v - r*v = -3*g + 39, 5*g - 59 = -3*v. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -1\/6*p**3 + 4*p - 2*p**2 + 0. Let r be g(-5). Solve 3*n = 2*n - r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-6)*6\/4. Let a be 3\/30 - b\/(-20). Determine z so that 1\/4*z**3 + 1\/4*z**5 + 0*z**2 + a*z**4 + 0*z + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 25253*s + 227458. Calculate f(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**4 + 13*a**3 - 15*a**2 + 9*a. Let t(w) = -w**4 + 3*w**3 - 4*w**2 + 2*w. Let h(k) = 4*l(k) - 18*t(k). Let h(v) = 0. Calculate v.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a61b6 - 11?\nAnswer: -a61c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -57. Solve 2*j - 2 + n = u, 5*j = u - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 228*u + 1 - 251*u + 475*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2 + 29503676*n + 217616724378244 = 0.\nAnswer: -14751838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -526, -1, 1, 4, -2, -13.\nAnswer: -526, -13, -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a + 465. Let t be q(-11). What is the highest common divisor of 1368 and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 349833470 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: What is the hundreds digit of 104718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 909047100 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + i**2 + 2*i + 2. Let y(w) = -w**3 + w**2 - 315*w + 4. Determine -b(k) + y(k).\nAnswer: -2*k**3 - 317*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7689591 by -591507.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839083557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 411630899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 - 20*d**2 - 9087*d + 5. Let b(v) = 2*v**3 - 12*v**2 - 4543*v + 3. Give 5*b(t) - 3*s(t).\nAnswer: t**3 + 4546*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 16883948.\nAnswer: -168839.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 5, -658.\nAnswer: -658, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 268, 323, 402, 499, 608, 723?\n\"Answer: -b**3 + 18*b**2 + 8*b + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1 (c) -2\/20287 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -64*q**3 + 5*q**2 + 4*q - 7. Does 95 divide f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -751.00541 - -751. Round g to 4 decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3\/6 + 19*y. Let w(c) = c**3 - 3*c**3 - 2*c + c**2 + 5*c. Give 3*m(r) - w(r).\nAnswer: 2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**4\/9 + 28*j**3\/9 - 80*j**2\/3 + 60*j + 148. Let s(f) be the first derivative of z(f). Factor s(c).\nAnswer: -4*(c - 10)*(c - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = 47. Suppose -b*y = -23*y - 3744. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22757 is divided by 1035.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6417 and 7432956?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:53 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13153719.\nAnswer: 3, 19, 230767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 6}. Give prob of sequence mmw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Let k(g) = -4 - 2 - 2 + 8*g + g**b. Let d be 4\/8*(-80 + 66). What is k(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3937 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20865607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7997917?\nAnswer: 19, 509, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -2 (c) -3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3137591 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + (sqrt(240) + (sqrt(240)*-2 - sqrt(240)) - sqrt(15)))\/(sqrt(20)*1 + sqrt(5)) + -1*(sqrt(3) - (-4 + -4*sqrt(3)))*-5)**2.\nAnswer: 2680*sqrt(3)\/3 + 5689\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8476 is divided by 214?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 2*z - 14 - 20 + 57.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440189105 to the power of 1\/3, to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 63555947, 127111893, 190667839, 254223785?\n\"Answer: 63555946*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)*t)**(2\/3)\/(t**6*(t*t*t**(-4)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/984 and -15\/332264.\nAnswer: 996792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*q + 4461 = 1749 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3*(9 - 3). Suppose 4*f = -3*h - 4, -i*f - 8 + 0 = 4*h. Suppose 587 = 5*v + 3*s, f*v - 2*s = -0*v + 222. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 1. Let h be w(-1). Solve 3*d = -5*r + 10, 3*d = -r - h*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43904966?\nAnswer: 2, 7, 67, 46807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-48)\/(-27))*(-3606)\/(-210951)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-9 + 13)) + 19 - 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2703.1 to the nearest 10.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 5*c**3 - c - 5 - 12 + 29 - 2*c**2 to the form x*c**2 + g + v*c**3 + w*c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4489409, 4489410, 4489411, 4489412, 4489413, 4489414?\nAnswer: 4489415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 4 + 8 + 3. Suppose -29*u + 32*u - 21 = 0. Let x be y(u). Is 2\/11 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 15. Factor 0*u**3 - 2*u**3 + 0*u**3 - u**5 - x*u**4.\nAnswer: -u**3*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158648 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 15. What is t(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 703\/1673 + 2\/239. Let v = -3.38 - -0.18. Let m = v - -3. Which is the closest to 0? (a) q (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2162.5 and 0.1.\nAnswer: 216.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + f = -f - 54, -4*a + 3*f = -46. Let g(h) = 2*h**2 - 17*h - 11. Let x be g(a). Calculate the greatest common factor of x and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 12*g - 14. Calculate the remainder when 55 is divided by w(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4369413 divided by -1\nAnswer: -4369413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155771 is divided by 9600.\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a minute in seconds?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000000 + 1101?\nAnswer: -1011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let m(c) = -1101*c. Calculate m(q(s)).\nAnswer: -1101*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. Let a be ((-17)\/x)\/(3\/9). Let n = 41 + a. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 44565.94us?\nAnswer: 0.04456594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 12*d**2 + 8*d - 11. Give t(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-6))\/((-2)\/6). What is the derivative of 6*j - p - j - 3*j - j wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -757*r + 39423. Determine n(52).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + 1. What is the greatest common factor of v and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + r - 9155 = i, 6105 = -2*i - r. Let m = -24477\/8 - i. Calculate the common denominator of -7\/26 and m.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/765 - (-11859)\/(-106731).\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 8*a + 16. Let n be f(-13). Let t = -52 + n. What is the third derivative of -t*c**6 + c**2 - 6*c**6 - 4*c**2 - c**6 wrt c?\nAnswer: -4320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 8 = -44. Let f be 1*u\/8*(-2 + -8). Sort f, -5, -3.\nAnswer: -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.7 - 10. Let k = -3604318 - -3604318.6999946. Let c = k - l. Round c to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (924*b - 472*b**3 - 924*b)*((3 - 3 - 3*b)*(0 - b + 0) - b**2 + 4*b**2 - 5*b**2 - 2*b**2 + 5*b**2 - b**2 + (b - 2*b**2 - b)*(-1 + 1 - 1)).\nAnswer: -2360*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 957205 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2340 and 910?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 23677776.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:23 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 8:20 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 87967.4nm?\nAnswer: 0.00879674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 485, 513, 547, 587, 633, 685?\n\"Answer: 3*p**2 + 19*p + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 184*l**2 + 21159*l. Let d(a) = -4*a. Determine q(d(r)).\nAnswer: 2944*r**2 - 84636*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.014, -70, 5, 4?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3*x - 19 = 0, 3*p - 13 = 14*x - 12*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-18))\/(2\/80). Solve -27*d - 35 = -b*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30067571087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/6 + (-2)\/(-6). Suppose -2*n + 2*g + m = 0, -2*g - 6 = 2. What is the third biggest value in -4, n, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103 + 3*f**3 + 0*f**3 - 134*f - f**2 - f**2 + 134*f to the form h + c*f + l*f**3 + u*f**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -23*z**2 + 11*z + 6. Let h(n) = -n**2 + 4*n + 11. Let i be h(5). Let a(x) = -4*x**2 + 2*x + 1. Let q(f) = i*w(f) - 34*a(f). Calculate q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 836867, 836857, 836843, 836825, 836803, 836777, 836747?\nAnswer: 836713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98.1 + 97.9. Let v = 3.2 - 3.3. Which is the closest to v? (a) 6 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -488, -3 in decreasing order.\nAnswer: -2, -3, -488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 8*d**2 - 7*d + 11. Let m be r(7). Let b be (18 + -4 - -2)*1. Differentiate 6*p - b*p - 6*p - m with respect to p.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13349.23 and -641.\nAnswer: -8556856.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.6611 to two decimal places.\nAnswer: 4.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919399047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 + 3*x + 8. Let r(d) = 3*d**2 - 4*d - 9. Let i(w) = 3*r(w) + 2*z(w). Let v be i(8). Which is smaller: v or 11\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = -3*t + 2*x, -4*t = -0*x + 4*x + 236. Let y = t + 65. Calculate the highest common divisor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 - 2*o**2 + 1. Let y be f(-2). Let z = y - 3. Calculate the lowest common multiple of 2 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.028 + -15.228. Let v = -19.2 - b. Sort v, 0, 1.2 in ascending order.\nAnswer: v, 0, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (2 - 1) - (50457 + -50401).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12288, -12292, -12298, -12306, -12316?\n\"Answer: -m**2 - m - 12286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 34*u = -335, -5*u - 37092 = -2*y - 37032 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1. Let u be (2\/(-3))\/(2\/(-12)). Suppose 0 = u*k - 7*k - 18. Let y(v) = 6*v + 8. Let n(q) = -q. Let z(h) = 5*n(h) + y(h). Determine k*j(a) - z(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 142*f - 6027. Does 27 divide k(78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 4. Let x = -1 - -4. What are the prime factors of g(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1310004 and 436668.\nAnswer: 1310004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2553 + -44?\nAnswer: -2597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 j when three letters picked without replacement from {j: 8, q: 1, w: 4, c: 5}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawwuaavawua. Give prob of sequence wuw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 89, 132, 173?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5983 + 36*w**2 - 2938 - 3038.\nAnswer: 36*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -5. Is (-264)\/b*(-1)\/((-3)\/(-20)) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 i, and 2 e when four letters picked without replacement from ieqleieiijliel?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-441)\/(-168)*360\/(-135).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*k)*((3 + 0 - 4)*(2 - 2*k - 2) - k + 19*k - k - 3*k - 6 + 6) to the form m*k**2 + b*k + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - -172. What is the highest common divisor of 10388 and v?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 4*d - 1 + 0*d + 8*d. Let o(s) = -2*s - 2. Let z(b) = -o(b) + 3*w(b). Let g be z(-4). Solve 7*i - 20 = g*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 (base 12) to base 9\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4561 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597286456?\nAnswer: 2, 151, 1322257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i\/(i*i*i**(1\/2)\/i)*i)*i*i)\/i)\/i)\/(i**16\/i))\/(i**(-15)\/i*i\/(i*(i*i**(4\/9))\/i)) assuming i is positive.\nAnswer: i**(17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133530 + 175152 = 9354*h for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-10 + 19 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32543730 - -63?\nAnswer: 32544013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i = 50. Let w(b) = b**2 - 10*b + i*b + 0*b**2. Let s(p) = 4*p**2. Calculate w(s(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.00394. What is v rounded to four decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/4)\/(-1*6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 0*v + v**4 + 0*v**4 - 3*v**4 + 3*v**4 - 2*v**4 - v**4 - v**4 + 4*v**4 + (v - 2*v - v)*(-v**2 - v**3 + v**2) + 2 + v**4 - 2.\nAnswer: 4*v**4 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16056.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 18, 57, 5.\nAnswer: -5, -1, 5, 18, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6845623 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2 = 2*w, -4*b - 2*w - w = 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -25671 (c) 2 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ururuduhuudaduddd. What is prob of sequence rdhr?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 63 = -6*y - b, 4*y = -9*b + 147. Solve -39*c = -49*c + y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539 and 1771.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u = 0. Suppose -o - o = -3*n + 11, -o - n + 7 = u. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - 73. Let p be (-69)\/(-15) - -4*l\/(-40). Suppose 128 - 16 = 5*q - 2*t, 20 = p*t. What is the least common multiple of q and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151727*o = -151620*o - 3210 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 2*m + 2*m + (-3*m + 0 + 0)*(-2*m - 4*m + 4*m) - 3*m + 3*m - 5*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215 + -207. Calculate the least common multiple of 80 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a millennium in months?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1165032 and 1\/1056.\nAnswer: 4660128","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.3, -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4313 - 2542. Calculate the remainder when (-2)\/(-5) - y\/(-35) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134208490?\nAnswer: 2, 5, 13, 1032373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558724 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*r, 5*r - 22 = 4*g - 21. Sort -154, r, 0.3 in ascending order.\nAnswer: -154, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.165 - -1077.165. Let a = c - 1076.99998938. What is a rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100110001101000111000 - 100?\nAnswer: -1110100110001101000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 3 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -0.1, -2\/5, -1, 0, 153251?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*m + 10, -m - m = -3*b - 10469 + 10454 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31, 9, -17, -47, -81?\n\"Answer: -2*j**2 - 16*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 740*q**4 - 5*q**3 - 5*q + 358. Let k(m) = 1109*m**4 - 7*m**3 - 7*m + 537. Let d(r) = 5*k(r) - 7*o(r). Differentiate d(t) wrt t.\nAnswer: 1460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -161 in 0.3, -4, -0.1, 1\/3, -264, 1?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -20 + (9 - 2 - (-38 + -13)) - -11\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 37. Let t = -16 - g. Which is the closest to t? (a) -1 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5508*q*z**6 + 3*q*z**2 + z**6 + z**2 + 17*z wrt z.\nAnswer: -660960*q*z**3 + 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 365*z**2 - 12*z + 3. Suppose 11*j = -5 + 27. Is p(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 bigger than -9\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19713818.\nAnswer: 2, 79, 124771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (21 - (-4 + 19))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8507565?\nAnswer: 3, 5, 11, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 10*x**2 + 9*x + 6. Let h = 13 - 4. Calculate the lowest common multiple of w(-9) and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -119, -251, -391, -539, -695, -859, -1031?\n\"Answer: -4*s**2 - 120*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-429)\/(-44)*(-8)\/(-3). Let t = -4 + 7. Solve 4*j + t*b = -25, -4*j = j + 2*b + q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 145*o + 0 + 5\/12*o**4 + 0*o**3 + 5\/2*o**2 + 3\/4*o**5. Let v(n) = -8*n**3 - 2*n**2 - 2. Give -2*k(x) - 5*v(x).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*g**2 + 171*g**6 + 35*g**2 - 5 + 5 + g wrt g?\nAnswer: 20520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 + 5*p - 2. Let h(o) = o**2 - 7*o + 3. Let u be h(7). Let l be j(u). Is (0 + -2)\/(l\/(-22)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 215\/(-2280) + 21\/399?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -2. Let k be l\/22*(-4)\/6. Let m = -8 - -5. What is the nearest to -0.1 in m, k, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841056 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: b\"What is the jth term of -108, -211, 96, 1209, 3524, 7437, 13344, 21641?\n\"Answer: 66*j**3 - 191*j**2 + 8*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88048654?\nAnswer: 2, 44024327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 0.4 (c) -2\/5 (d) -0.085548 (e) 17 (f) -1 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22951344*s*u - 15301714*s wrt u?\nAnswer: -22951344*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 65 = 2*m. What is the remainder when 46 is divided by (m + 7)\/(1\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) 1\/3 (c) -5\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7666*p = 32694 + 112960 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352 + 632 - 390 + 2*l.\nAnswer: 2*l + 594","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*o + 305*o - 152*o - 112 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 + 9)\/(1 - 12\/15). Let n be (-2)\/k*(-1 - 0)*5. What is the remainder when (4 - 7\/(-21))*(-6)\/n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*a**2 + 0 + 6 - 6 to b*a + l*a**2 + z and give l.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 15*x**2 + 15*x + 55. Determine i(-16).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223213 (base 4) to base 2.\nAnswer: 101011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 2. Let h be 4\/8 - 62\/92. Let x = h + -18\/161. Is x < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33125274 divided by -1498\nAnswer: 22113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*t - 200 = -50*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 m, and 1 l when four letters picked without replacement from {m: 9, l: 1, k: 2, f: 4}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42508 + -6732. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2504208909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 65423*a**3 - 196275*a**2 - 196277*a - 65426.\nAnswer: (a - 65426)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + (1 - (6 + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1740 = -2*w, -16*p - 4350 = -5*w - 19*p. What is j in w*j**2 + 0*j - 48*j - 112 - 866*j**2 = 0?\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3, 2, 901, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102210 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.8437 - 0.011\nAnswer: -1.8547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3061727*z**4 + 145*z**3 - z**2 + 43808445?\nAnswer: -73481448*z + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19862 and 29897.\nAnswer: -593814214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x**2 - 2*x. Is p(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 - -222. Calculate the remainder when d is divided by (677\/4062)\/(2\/24).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.08, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 451, 2859, 9401, 22147, 43167, 74531, 118309?\n\"Answer: 345*p**3 - 3*p**2 + 2*p + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (6 - 12))*107. Let d = 184 - u. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127576?\nAnswer: 2, 37, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.5, 28353, 2\/25, -3, 5 in decreasing order.\nAnswer: 28353, 5, 2\/25, -0.1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20733, -20714, -20683, -20640, -20585?\nAnswer: -20518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d3 - de1?\nAnswer: -d0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20 - -17) + (10 - 2) - 8) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 2, j: 1, b: 4}. Give prob of picking 1 f, 1 j, and 1 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -1.3. Let m = 0.59 - 0.21. Let z = m + -1.38. Which is the closest to k? (a) 5 (b) -2\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, and 2 w when four letters picked without replacement from {z: 2, i: 1, r: 3, w: 3, p: 3, t: 2}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 118496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 23646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, d: 5, h: 2}. What is prob of sequence iidh?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:35 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**8\/4480 - i**7\/840 + i**4\/3 - 6*i. Let a(f) be the third derivative of b(f). Factor a(v).\nAnswer: 3*v**2*(v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 3:33 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1637176789 to five decimal places.\nAnswer: -0.16372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 10. Let u = 5.6 + d. Put 4, 2\/13, u in ascending order.\nAnswer: u, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4959.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2420) - (-2 + (3 + sqrt(2420) - sqrt(2420) - sqrt(2420))) - (2 + -3 + sqrt(2420))))**2.\nAnswer: 88*sqrt(5) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {z: 1, s: 1, x: 10, q: 1, v: 2, l: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -683138565 - 1?\nAnswer: -683138566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Suppose -a + 4 = -0. Let h = a + -3. What is the smallest value in g, 0.3, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/3, 379474, 8, 2 in descending order.\nAnswer: 379474, 8, 5, 2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let u = 3 - 6. Which is the second biggest value? (a) u (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26051 = 4*g - 5*s, -5*g + 41446 - 8876 = -5*s. What are the prime factors of g?\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1345 - -102?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -35*p - 529. Let n be j(-15). Let m(k) = -k**2 - 1. Let g(a) = 6*a**2 + a. Give n*m(u) - g(u).\nAnswer: -2*u**2 - u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {l: 7, m: 2, d: 2, i: 1, j: 5, o: 3}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*y + y. Put 2, -2\/3, y in decreasing order.\nAnswer: 2, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24823, 25432, 26017, 26566, 27067, 27508?\nAnswer: 27877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 672 and 9.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 443 + -668. Let z = 536 + u. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 - 67*s**2 + 241 - 99.\nAnswer: -67*s**2 + 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -1\/6856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/3)*n)**(20\/3)\/(n**(-10)\/((n*n\/n**19*n)\/n)) assuming n is positive.\nAnswer: n**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 38. Let w be r(-18). Let y be (7 - w) + 5 + 2. Solve -5*q + 8 = -y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*r - 106*r - 4 + 242*r + 2*r - 2*r - r + (-1 + 4 - 2)*(-3*r + 3*r - r) to k + w*r and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + 1.3. Let r = -29 + 111.3. Let u = 82 - r. Which is the nearest to 0? (a) g (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i**(-2)*i*i*i*i*i*i))\/i)\/i*i)**(-3\/8)*(i*i*((i**(1\/3)\/i)\/i)\/i*i)**(2\/23) assuming i is positive.\nAnswer: i**(211\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3274 divide 75571263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 69 - 171. Let x be 8\/(-6)*z\/(-4). Let a be x\/(-72) - (-4)\/(-18). Which is smaller: 5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/4 + 5 + -7 + 6. Suppose w + 4*b = 6, -8*b = -s*b + 3. What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**3 - 3*r**2 + 7*r - 8. Suppose -q + 4*x - 22 = 0, 3*q - x = -101 + 35. Let k = 26 + q. Does 41 divide j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5311576.4 * -0.9.\nAnswer: -4780418.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7295535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378 = 16*b - 70*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 813 = 4*z + h, -1641 = -4*z + 3*h. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 562*x + 1161. Let l(s) = -186*s - 387. Let g(j) = -8*l(j) - 3*n(j). What is the derivative of g(u) wrt u?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 24*b - 44. Let t(u) be the second derivative of 0*u**2 - 7\/12*u**b + 0*u**3 + 2*u + 0 + 3\/5*u**5. Find the third derivative of t(z) wrt z.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12724, -12723, -12720, -12715, -12708, -12699?\n\"Answer: v**2 - 2*v - 12723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from yxxdx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2177858426688 from -184.\nAnswer: -2177858426872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.406 take away 162?\nAnswer: -165.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 179759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 3*h + 0 + 0*h**2 - 1\/6*h**3. Let o(q) = -3*q**2 - 2*q + 2*q. Determine d(o(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.6 - -35.6. Let t = 0 - 3. Which is the nearest to 1? (a) g (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 10, 0 = h - 4*v - 0 - 5. Calculate the remainder when 38 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16*0.0001117.\nAnswer: -0.000017872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1300) + -1 + 4 - (-5 + (sqrt(1300) - sqrt(1300)*2))) + (-2 + sqrt(1300)*-1)*6 + 5 + 1.\nAnswer: -40*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 5*f**2 - 6*f + 4. Let z be c(6). Suppose -4*u - 4*m = -456, -z*u - 5*m + 434 = -27. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y + 4508 = -3*y. What is the remainder when y is divided by 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1854 and 1850 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 184525553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 5*c + 60.\nAnswer: -5*(c - 4)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -156*g + 161*g. Let v = 2 - 1. Which is the closest to 1? (a) -0.3 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/209344800 and 247\/230279280.\nAnswer: 2302792800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143344 divided by 2.\nAnswer: -71672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u**3 - 5*u**2 + 24*u - 9. Let s(y) = 5*y**3 + 3*y**2 - 12*y + 5. Calculate -3*n(g) - 5*s(g).\nAnswer: 2*g**3 - 12*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 6*i + 13. Let j be l(4). Let p = j + -71. What is the remainder when 179 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -293411, -6.\nAnswer: -293411, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1229 = 5*y, 2*m = 3*y - y - 488. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1 + 141 = 2*z, 2*r + 76 = -4*z. Let j = r + 34. Suppose -j*b = 2*d - 26, 4*d - 2*b + b = 43. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**3 - 44*u**2 + 75*u + 96. Let t(b) = 11*b**3 - 65*b**2 + 113*b + 143. Let x(g) = -8*s(g) + 5*t(g). What is the units digit of x(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4671 and 2242772?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*w**2 - 33*w**2 - 3 - w + 45*w**2 + 4*w to the form x + i*w + o*w**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/11, 21, 1.2, -0.2, 4\/7?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298404 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/1920 and 25\/16.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*y - 2*n - 30, 2*y - 5*n = -17. Let i be (171\/38)\/((-3)\/(-8)). Suppose -i = -4*z + y. Solve l = -z*s + 5*l + 28, 4*s = -2*l - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9171, -36664, -82485, -146640, -229135, -329976?\n\"Answer: -t**3 - 9158*t**2 - 12*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1432 and -125\/3222?\nAnswer: 12888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 1, m: 4, g: 1}. What is prob of picking 1 g, 2 l, and 1 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15 + -4.85. Are t and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001494022 to 6 decimal places.\nAnswer: -0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m + 7\/60*m**5 + 0*m**3 - 37*m**2 + 0 + 0*m**4. Let n(q) = 11*q**2. What is n(a(g))?\nAnswer: 539*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(1331) - (sqrt(1331) + 0 + -2) - (1*sqrt(1331) + sqrt(1331))*1) + sqrt(1331) + 1*sqrt(1331)*-2 + -5)*-5)**2.\nAnswer: -1198800 - 19800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -1.6 (b) -1.61 (c) -3 (d) -0.5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u. Let y(q) = -1 + 1 - 8*q + 5*q. Let l(m) = 10*m. Suppose 5*a - 5*n + 50 = 0, a + 41 = -4*a + 2*n. Let v(o) = a*y(o) - 2*l(o). Calculate v(k(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1585*h - 5 + 791*h + 39*h**4 + 793*h as d*h + t + p*h**4 + y*h**2 + s*h**3 and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*-1)\/sqrt(9))\/(-1*sqrt(539)).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0142 - -0.0142. Sort -2\/7, l, 0.1, -0.2 in ascending order.\nAnswer: -2\/7, -0.2, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 0, 17\/2, 3 in decreasing order.\nAnswer: 17\/2, 3, 0, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13693 - 13693 + 17*n**2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -150006, -300029, -450052?\n\"Answer: -150023*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*102 + (-2)\/(4\/(-2)). Suppose 3*n - 116 = u. Suppose 481 - n = 3*m. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/217501, 0.2, 11?\nAnswer: 2\/217501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 45 = 3*i. Let q be i + -2*(-1 + 0). Let f = q + 39. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56)\/sqrt(4))\/sqrt(2) - (sqrt(7) - sqrt(28)\/sqrt(4))*-1)**2 - ((sqrt(112)*-3 - sqrt(7))*3)**2)*4.\nAnswer: -42560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 6233 + 6*w - 6231)*(2 - 2 - w**2) in the form p*w**3 + v*w + k*w**2 + y and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/72*2\/(40\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**3 + w**2 - w + 1. Let f be k(1). Let t = -0.195 - -0.255. Which is the closest to 2\/7? (a) 2\/5 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461435 is divided by 153673.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 14. Let s be (69\/46)\/((9\/(-8))\/(-3)). Let x = -4 + s. Solve x = -m + 5*q - 2 + o, 0 = 4*q + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3 + (4 - 6 + 0)*(4 - 1 - 1))*(2*g + g - g) - 5*g + 4*g + 0*g as j + b*g and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -44*i**2 - 3*i - 3. Let h be v(-1). Let k = -47 - h. Is k + 720\/(-1 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846459 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 5, o: 7, f: 2, u: 1, a: 1}. What is prob of sequence ant?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25917372 is divided by 218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 367.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -2*x**7\/105 - x**5\/15 + 12*x**2. What is the third derivative of q(y) wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -782, -1174, -1566?\nAnswer: -1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11554033\/353 + -32731. Is 0 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -245*m**2 + m. Let b be h(1). Let f = -156 - b. Let n = -46 + f. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466785162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13836836716 + -3.2?\nAnswer: 13836836712.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 294 + 238. Let p = -219 - a. Let s = p + 122. Calculate the greatest common divisor of s and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8359416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 7. Solve 3*x + 4*z = -11, 0 = 3*x - z - p + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -618*a**3 - 4*a**2 + 206*a + 211. Determine l(-1).\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2870134 and 18?\nAnswer: 25831206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1408ab - -1b?\nAnswer: -140890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -6, -6\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -1\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 12:18 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w**(-3\/4))\/((w**(1\/4)*w)\/w**(-4\/7)) assuming w is positive.\nAnswer: w**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*f - 3*f - 7*f)*(5 + 5*f**2 - 5)*(-3*f - 5*f + 34 - 15 - 21) as b*f + i + g*f**4 + x*f**3 + d*f**2 and give g.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*u - 16 = 28, 0 = 2*k + 4*u - 40. Calculate the smallest common multiple of k and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*-2*(sqrt(162) + 0) - ((sqrt(98)*-2 - (sqrt(2) + sqrt(100)\/sqrt(2))) + (sqrt(2) - (0 + sqrt(162) - sqrt(162))) + sqrt(128) + -1))**2.\nAnswer: 1102*sqrt(2) + 607203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 4245.2.\nAnswer: 127.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002393 to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = 4*h + 22, -j - 3*h + 12 = 0. Let a(p) = p**3 - 6*p**2 - p + 3. Let z be a(j). What is the remainder when 33 - 1\/(2 + z) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -a?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p. Let t = p + 5. What is the remainder when 14 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.83 (b) -5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1764) - -5*sqrt(1764))*4*-6)\/((-1*(sqrt(70) - (sqrt(70)*1 - sqrt(70)) - sqrt(70) - sqrt(70)) + sqrt(70))\/(sqrt(450)\/sqrt(5))))**2.\nAnswer: 11757312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*u**3 - 45*u**3 + 48*u**3 - 89*u**3.\nAnswer: -181*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*k + 17 = -41, -5*p + 5*k = -160. Suppose -1632 = x - 7*x. What is the highest common divisor of x and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -1 - 2. Is 24 a factor of (53 - (4 - 2)) + d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(882) + -1)**2 - (-3 + (sqrt(882) - -3*sqrt(882))**2).\nAnswer: -13224 - 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/4 + -1 + -3. Put 2\/7, m, 4\/11 in ascending order.\nAnswer: 2\/7, 4\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1931869*q**4 + 3*q**3 - 4322*q**2 - 2309*q.\nAnswer: 46364856*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6936, 6935, 6934, 6933, 6932?\nAnswer: 6931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 741 + 7228 = 0. What is the tens digit of (8\/(-2))\/(-4)*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505859 is divided by 1907?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let t(s) = s - 2. Let d be t(4). Suppose 0 = 3*j + d*j - 20. Solve v = -5*w + j + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -869, -871, -873, -875?\n\"Answer: -2*v - 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 1774570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -400, -820, -1228, -1618, -1984, -2320, -2620?\n\"Answer: u**3 - 427*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w + 5*j - 65, 3*w + 2*j = 34. Let y = 13 - w. Solve 0*p = -5*p - y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let w = t - 0. What is the biggest value in 0.1, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 916, 1996, 3504, 5440?\nAnswer: 7804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.77 - 15.6. Let s = f + 0.73. What is the nearest to 2 in -1\/6, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 38, -1, 5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**4 - 127967*j**3*p**2 - 2345077*p**2 wrt j.\nAnswer: -12*j**3 - 383901*j**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6.83 * -1\nAnswer: -6.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 955, 1911, 2869, 3829?\nAnswer: 4791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1567*q*x - 21788*q - 4572*x - 89003 with respect to q.\nAnswer: 1567*x - 21788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) + 392\/63. Suppose -2*o - 40 = -v*o. Let b be 3\/(-2)*16\/(-12). Solve -j + 3*k = o, -2*j = -5*j + b*k - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + (sqrt(160)*3 - sqrt(40)) + sqrt(40))\/(sqrt(648)*3).\nAnswer: 7*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31997280 and 1295128?\nAnswer: 543953760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((7 - 3)\/(-32))\/(6\/(-8)). Factor 0 + 0*c**2 - 1\/6*c**3 + i*c.\nAnswer: -c*(c - 1)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 5. What is w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*a - 3*a = 790, -4*m - 4*a = -800. What is the greatest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 + 80.34. Let v = 14925 - 14924.3367. Let o = n + v. Round o to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.111 and 0.2?\nAnswer: 6.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/40 and 101\/14380?\nAnswer: 28760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**5\/12 + 5*w**4\/8 + 10*w**3\/3 + 34*w**2 - 58. Let a(y) be the second derivative of v(y). Factor a(n).\nAnswer: -5*(n - 4)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 5*k - 4. Suppose -s - 5 = 1. Let i be (12\/(-8))\/(3\/s). Suppose -i*o - 15 = -6*o. Give a(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.24943 micrograms in milligrams?\nAnswer: 0.08924943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1394 = -r, -r + 4212 = 2*r - 3*q. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2802 (base 11) to base 2.\nAnswer: 111000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27, 112, 237, 342, 421?\n\"Answer: -k**3 - k**2 + 149*k - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11190*q**2 - 7060.\nAnswer: 22380*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 31\/(341\/(-66)) + (-64)\/30\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 198\/55 + (-2)\/(-5). Suppose 3*w = -8*g + 3*g + 9, 0 = 3*g - 4*w + 12. Suppose 3 = p - g. Solve 0 = y*z + p + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -x + 4, 3*r + 3*x - 15 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152752 (base 8) to base 16.\nAnswer: -d5ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4 - 151*l**6 - 566*l**2 + l**4 - 59*l**5 + 10*l**5 + 154*l**6 wrt l.\nAnswer: 360*l**3 - 2940*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**3 - 14*f**3 + 36*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112385447 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -336*z**2 - 118*z. Let q(i) = i**2. What is c(q(r))?\nAnswer: -336*r**4 - 118*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1717*t - 24146 = -6478 + 23540 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (2 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 0 + 0)*(-2 + 2 - 2) + i - 3 + 3 - 2*i - i - 2*i)*(-3*i**3 + 2*i**3 - 4*i**3).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -19.87. What is the second smallest value in u, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165\/8 bigger than -1285\/516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 - 2*u**2 - 29*u**4 + 0*u**2 + 54*u**4 + 2*u - 28*u**4 as d*u**2 + q*u**3 + b*u**4 + j + y*u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 4. What is the tens digit of b*(-195)\/(-20)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((3 - -1) + -6). Let a be (-2)\/8 + (-36)\/(-16). Solve f = a*b - b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 51552\/352 + (-12)\/(-22). Calculate the highest common factor of 392 and b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 44*a + 539. What is r(-11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 3, j: 1, d: 1, t: 1, e: 4}. Give prob of sequence rj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*s - 16. Let z(j) = 11*j - 48*j + s*j + 18*j + 9. Suppose p - 4*p = 0. Determine z(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 14 = -2*a, 2*v + 11 = -a - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 43*q + 18. Let g be n(-14). Put 0, 252, g in descending order.\nAnswer: 252, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 + 226563*z**4 - 6*z**3 - 453126*z**2 + 3*z + 226563 = 0. What is z?\nAnswer: -75521, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1)*q)**(-26\/3))**(1\/59))**(2\/31) assuming q is positive.\nAnswer: q**(-52\/5487)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1305063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g - 4. Let s be k(10). Solve 3 = s*v - 23*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140358 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p - 12. Let i(g) = g - 1. Let m(o) = -12*i(o) + t(o). Let f(v) = 3 - 6 + 3 + 1. Give -2*f(c) + m(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221.763153 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-315) - (-10)\/(-35). Is q less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12239591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Let c be (4 + -2)*-1*(-19 - -18). Suppose -x*i = -c*i - 17. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*k + 6, 4*i + 5*k = -0*i - 13. Suppose 2*f + f = i. Suppose -2*y + f + 3 = 2*a, 0 = 2*a - 5*y - 18. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 4.\nAnswer: -85\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3354251204 + 0?\nAnswer: -3354251204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*b = 74 + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84667?\nAnswer: 11, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v = 445. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12426, 12433, 12450, 12483, 12538, 12621?\nAnswer: 12738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-7 - -5 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/5)\/(-1))\/(5\/(50\/2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66612654 - -111?\nAnswer: 66613065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 15. Let z be r(12). Solve 3 = 4*b - w, w - 2*w - z = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179851 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 288*z**3 - 2*z**2 + 0*z**2 - 287*z**3 - z + 8 + z**2. What is h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2052641.\nAnswer: 811, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2516.752 + -2561. Let r = -44 - n. Let q = 0.23 - r. Round q to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 0*k**2 - 1137 - 5872*k**3.\nAnswer: -5872*k**3 - 1137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7417480777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3 equal to -2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4311 (base 5) to base 3\nAnswer: 210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**4\/24 + a**2. Let y be 9\/(-6)*10\/(-3). Let s(x) = 647*x - 647*x - 3*x**2 + y*x**2. Calculate v(s(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-234) + 2\/(-26). Is a greater than -1\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 3*x**3\/2 - x**2\/2 - 2*x. Let m be q(2). Suppose -m = -2*b + 15. What is the remainder when 46 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2800\/11 (c) 3\/4 (d) 3 (e) 1\/6 (f) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 25 = 5*z. Suppose -z*o + 2*o + 6 = 0. Let v be (28 + -3 + 1)\/o. Solve -v = 4*k + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51824*b**3 + 415*b**2*r**3 - 113*b*r**3 + 835*b*r + 23*r**2 wrt b.\nAnswer: -310944*b + 830*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054209391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.2, 2.27, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-2))\/(107 + -113). Which is the closest to d? (a) 2 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 4:43 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1217949.1?\nAnswer: 121794.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 2*c - 7. Let l(s) = -s**2 - s + 2. Calculate -2*f(v) - 7*l(v).\nAnswer: v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -119 (b) 2\/5 (c) -2 (d) 74 (e) 15.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (391*s - 29*s - 1 - 197*s)*(-3*s + 3*s - s)*(-2 + 1 - 1).\nAnswer: 330*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 19 + 23 + (-2 - 2 + 5)*(-4 + 2 + 3) + 3 - 3 + 3)*(-8*a - 10*a + 26*a).\nAnswer: -184*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f + 5*f + 6*f - f**2 + 8*f**2 to b*f**2 + v*f + i and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b - 1 + b + 3*b)*(-1003 + 143*b**2 + 1003) + (b**3 + 1 - 1)*(-4 + 1 + 6))*(-5*b + 0*b + 3*b).\nAnswer: -292*b**4 + 286*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, b: 7, m: 3, s: 2, q: 1}. What is prob of picking 1 m and 2 n?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r + 4342*r**3 - 18*r.\nAnswer: 4342*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 + 6 - p**2 + 4. Let i(g) = -7*g**2 - 11. Let q(o) = -4*i(o) - 5*j(o). Differentiate q(f) wrt f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1835062 (base 10) to base 9\nAnswer: 3406207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4563500*-0.4.\nAnswer: -1825400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -278, 5, 4 in decreasing order.\nAnswer: 5, 4, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + -6 + 4 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -13424.\nAnswer: 17\/6712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -9. Solve 3*d + 2*o + 2 = x*d, d - 4*o - 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494919001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/21 - 4\/(-6). Let o(t) = -5*t**3 - 4*t**2 + d*t**2 - t**3. Let y(v) = 5*v**3 + 3*v**2. What is 3*o(n) + 4*y(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 229440 and 240960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = 20*y. Let f(z) = z - 2. Let g be f(8). Suppose -1 = x - g. Sort y, -3, x in increasing order.\nAnswer: -3, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 0, 4, 1 in decreasing order.\nAnswer: 4, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -124, -242, -356, -466?\n\"Answer: 2*z**2 - 124*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 = -65. Let t = a - 18. Calculate the least common multiple of (-1378)\/(-104) + t\/4 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073397461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o - 273992 = -80*o + 869816. List the prime factors of o.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 13. Let x = -7 - -5. Let c = t + x. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 25*u - 460. Calculate d(22).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 = -13. Let s be 6\/n + 19\/(-7). Put 3, -2, s in increasing order.\nAnswer: s, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 1735*j + 25664. Give b(15).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*p**4*r + 428*p**4 + p + 574*r + 1 wrt p.\nAnswer: -76*p**3*r + 1712*p**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -40*i**3 - 3*i**2 - 6*i - 27. Let n(p) = -20*p**3 - 2*p**2 - 2*p - 11. What is -5*n(b) + 2*o(b)?\nAnswer: 20*b**3 + 4*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13045 is divided by 308?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, 7, 12, -1, -5\/9.\nAnswer: -1, -5\/9, 4, 7, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -335 - -383. Calculate the greatest common divisor of 744 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 4*w + 11. Let f be a(5). Solve 0 = -7*y + 5*y + f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6\/5 (b) -28 (c) -1\/5 (d) -0.5 (e) -36 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w + 3*d - 42321, -d = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*b + 6. Let o(h) = h**3 - 8*h**2 + 6*h - 34. Calculate the remainder when b*(55\/(-3))\/(-1) is divided by o(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) 4 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22211201102 + 2?\nAnswer: 22211201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyyy when four letters picked without replacement from yayayyaawayyawbbww.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - k = 32 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 54 = 5*h, -60 = -2*w + h - 3*h. Let g = 63 - w. Is (-3163)\/2*(g - 33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -29.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -404032?\nAnswer: -404033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + -8?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 400*y + 396*y - 5230 = 0, -y + 4 = 0. Which is smaller: 2625 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121759\/7941 - 1\/2647. Find the common denominator of r and -139\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1846.4468 to the nearest integer.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*t - 4. Let w be (2004\/10)\/((-4)\/t). Let u = 113 + w. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -13 + 5. Let p = 4.85 - -0.15. Let v = 2.3 + -0.3. What is the closest to 1 in v, q, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:28 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 387 + 407 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2) + (1 + sqrt(2))*-6) + 1*1*(sqrt(2) + 0))**2.\nAnswer: 1560*sqrt(2) + 2252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 50.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1720*j + 14*j**2 - 29*j**2 + 11*j**3 - 1722*j - 25*j**2 + 1 in the form k*j + w*j**2 + l*j**3 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 6*j - 5. Let t(a) = -10*a + 59. Let m be t(7). Let l(c) = -c**2 - 13*c - 17. Let b be l(m). Determine r(b).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8092 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1, -1\/2, -6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 + x + 4. Suppose -2*w + 2*p = -0*w, 0 = 5*w + p. Determine b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, 1, 4\/5, -4, 0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 - 101. What is the common denominator of (-3666)\/104*(-1)\/i and 133\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/30*30\/(-4)*39\/(-195).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924425 and 2872?\nAnswer: 7395400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -46. What is the remainder when i is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -506585667*t - 1088304883?\nAnswer: -506585667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-2) - (-1 - -1). Suppose 0 = -2*y + 4*w + 4, -5*y = -w - 2*w - 24. Let k(x) = 4*x + 2. Let v(a) = -7*a - 4. Give h*k(j) + y*v(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0 - 7\/4*n**4 + 0*n**2 + 3\/2*n**3 - 17\/20*n**5 + 19*n - 1\/10*n**6. Let a(b) = 0. Calculate b.\nAnswer: -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.15 + -0.15. Let i = b - 7.4. Let t = i - 0.603. What is t rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29104 and 2176.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((-6)\/24)\/(3\/(-18)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 20*n**2 + 17*n + 7. Let d(w) = -350*w - 1419. Let c be d(-4). Calculate z(c).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = j - 4*c, 474*j = 479*j - 3*c + 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 41*q - 314. Give m(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*j - 4, -5*j + 269 = 4*p + 274 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - -2) + (-4 - 427\/(-28)). Is 15 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/((-15)\/45). Solve 6*g - 3*g + 2*b + 12 = 0, b - x = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z - 36*z - 346*z - 61*z.\nAnswer: -481*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 325*m + 29996. Give x(-75).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28208899\/200 + -141045. Find the common denominator of -119\/520 and a.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495792 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 520*5\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from ccpcccocccacpcccpcbo.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Let m(q) = y*q**3 + 4 - 1 - q**3 + q - 5*q**2. Suppose 5*r + 15 = 2*r. Determine m(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.956*-0.3\nAnswer: 7.1868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -71, 1, 201, 571, 1153, 1989, 3121?\nAnswer: 4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**6\/60 + i**5\/15 + i**4\/6 + i**3\/3 - 15*i**2. What is k(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + (15 - (-3 - 30))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2120 + -1929. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -623, -5105, -17297, -41051, -80219, -138653?\nAnswer: -220205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 27*x - 27*x + 2*x**2. Let o(d) = -7*d. Give a(o(u)).\nAnswer: 196*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -470*m**5 - 56*m**3 - 1183996*m?\nAnswer: -9400*m**3 - 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -3. Suppose -3*i = 2*i + q, 4*z = -2*i + 92. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -6*c**5\/11 - 2052*c**4\/11 + 262080*c**3\/11 - 7235904*c**2\/11 = 0.\nAnswer: -446, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 10:20 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 - 1136*y**2 - 1481234*y\/3.\nAnswer: 2*y*(y - 2063)*(y + 359)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1016, -5, -1, -0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 - 4 + (2 - 3 - 1)*(4 - 1 - 4))*(-2*r + 0*r - 2*r)*(-3*r**2 - 2*r**2 + 3*r**2).\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5808 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Suppose 4 = -6*q + 7*q - j*o, -2*o - 43 = 3*q. Let y be (0 - (q - -1)) + -2. Solve 2*m + 2*k + 4 = 0, 0 = 4*m - k - 3*k + y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 5864*v**2 + 64876*v + 165424.\nAnswer: -4*(v - 1477)*(v + 4)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 + l**2 - l**2)*(3 - 3 - 3) + l**2 + l**2 + 0*l**2 + (l - 5*l + l)*(-11*l + 23*l - 19*l) - 6*l - 5*l**2 + 6*l as k*l + n + s*l**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(25)\/sqrt(5) + 4 + -4)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 5*n + 4. Let k(r) = -2 + r + 7 - 3*r - 4*r**2 - 4*r. Suppose -3*o - 37 = -5*p - 7*o, p - 14 = -3*o. Calculate p*k(b) - 6*u(b).\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16)\/w**(-1))**(-10) assuming w is positive.\nAnswer: w**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005974308?\nAnswer: 2, 59, 79, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z\/z**(1\/8)*z))\/z*z**(3\/5))\/(z\/(z\/(z**(1\/7)\/z))*(z\/(z**2\/z*z))\/z))\/(z\/((z*z**(3\/4))\/z)*z*z*z*z*z**(7\/5))**(-1\/10) assuming z is positive.\nAnswer: z**(2203\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 80. Let r be (9\/3)\/(-1*5). Which is the second smallest value? (a) r (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2718386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 1:56 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -222*k**2 + 9609*k - 9621. Let o(w) = 99*w**2 - 4805*w + 4810. Let h(u) = 4*f(u) + 9*o(u). Solve h(c) = 0 for c.\nAnswer: 1, 1602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 289656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p\/(p*p\/((p*p**12)\/p)))\/p*p)*p**(-6)*p\/p**(-8)*p\/p**(-2\/21) assuming p is positive.\nAnswer: p**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 4. Find the second derivative of 14*s - 25*s - 9*s**4 + x*s wrt s.\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) - (-3920)\/504. Solve -3*h - 10 = 4*j, -s*h = -5*j - 6*h - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*u**3 + 2*u**2 - 2053*u + 1898?\nAnswer: -9*u**2 + 4*u - 2053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -9. Let t(l) = 2*l**3 + 24*l**2 - 8*l - 9. Let y be t(-10). Suppose 470*f + 28 = y*f. What is the greatest common factor of f and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n + 15. Suppose 6 = 2*h - 5*q + 3*q, -5*h - q = -15. Let i be k(h). Let d(m) = -m - 4. Calculate d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose -n*d + 2*m + 0*m - 8 = 0, 3*d + 2*m + 7 = 0. What is the least common multiple of 11 and (6\/10)\/(d\/(-15))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = 11. Suppose u = k + k. Find the third derivative of 4*s**2 - 2*s**2 - 3*s**6 + 5*s**6 - s**k wrt s.\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 249 - 109251 = 0. Round o to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/(11\/450). Let f be -5 + -11 + 34 + -3. Which is greater: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3.0001405. Round x to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160290.18 months to centuries.\nAnswer: 133.57515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-352)\/(-2992))\/((-8)\/(-112)*7).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-220)\/(-5) - -3. Let h be (u + -2)\/4 + -3. Suppose 5*i + 9 = -2*g, -g - i = -0 - 3. Do h and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by ((1 - -1)\/(-4))\/((-2)\/176)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 95. Let t be (-6)\/n - 10\/25. Let h = 7\/6 + -1. What is the closest to -3\/4 in h, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 7*k + 6. Calculate the remainder when (392\/(-6))\/(-4) - (-6)\/9 is divided by b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*p*z**4 + 539*p*z**3 + 53*p + 2 wrt z?\nAnswer: 20*p*z**3 + 1617*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a hour in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 79844510?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167969389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 7*x**2 + 9*x + 9. Let i be c(-5). Suppose 0 = 13*g - 14*g - i. Let l be 1\/5*(g + 15). Put -2\/3, l, -5 in descending order.\nAnswer: l, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/28680 and -79\/132.\nAnswer: 315480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1030? (a) -3 (b) -2 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w - 1. Let h(s) = -4*s - 1. Let f(p) = -5*h(p) + 7*r(p). What is f(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(140)\/sqrt(5)*-2 - (sqrt(4032)*-2 + sqrt(4032) + sqrt(28)))\/((sqrt(48)\/sqrt(2)*6 + sqrt(24))\/(sqrt(600) - (sqrt(600)*2 + sqrt(600)))))**2.\nAnswer: 32400\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 - -84. Sort 5, -5, u, 4.\nAnswer: -5, u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 3, 13366, 4, -3 in ascending order.\nAnswer: -3, 3, 4, 23, 13366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*c**2 + 67*c**2 - 39*c**2.\nAnswer: -1102*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 21*q - 14. Suppose 0 = -2*g + 2*o - 0*o - 22, g + 9 = -o. Let w be d(g). Let y(l) = -l + 3. Let p(h) = 3*h - 7. What is w*p(z) - 9*y(z)?\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 1. Let m be w(1). Does 2 divide 5 + m + (2 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 - (-6)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5345 - 3023. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 10*i - 11. Let y(n) = n + 1. Let f(g) = w(g) + 5*y(g). Let b be f(6). Suppose b = 2*z - 0*z - 6. Sort -5, -2, z in ascending order.\nAnswer: -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + 1.7. Let r = a - 4. Let u = 0.43 - 0.03. What is the second smallest value in -1\/4, u, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -11*r**7\/42 + 7*r**4\/12 + 9*r. What is the third derivative of b(w) wrt w?\nAnswer: -660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9080 * -1848\nAnswer: -16779840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 22*t**3 + 12*t**2 - 580. Let v(j) = -4*j**3 - 2*j**2 - 2. Give l(w) + 6*v(w).\nAnswer: -2*w**3 - 592","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194\/5 + 192\/5. Let q = 0.78 - -0.02. Let u = q - -0.2. Put u, o, 0.2 in increasing order.\nAnswer: o, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 4*l - 6. What is the smallest common multiple of j(2) and 19 - (4 + -2 + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 1:58 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 2*z**2 - 41*z + 0 + 1\/60*z**6 + 1\/15*z**5 - 1\/4*z**4 + 0*z**3. Suppose g(u) = 0. What is u?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -55*m + 8500. List the prime factors of n(-24).\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in -10, 3, -2\/3, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x + 240 = -20*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22351354 (base 6) in base 11?\nAnswer: 427458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/74005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = -3*d + 5*y - 4, 0 = -3*d + y + 8. Suppose 3*h + 3*i = 12, 0 = 5*h - 4*i - d - 0. Let 2 - 5*n**2 + h*n**2 + n**2 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -2a9540?\nAnswer: -2a9540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Suppose 2*w = -x*w + 10. Suppose 2*j - j = 2. Put -5, w, j in increasing order.\nAnswer: -5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*w = 116*w + 479 + 25 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -7*w - 3*y, 4*y + 151 - 26 = -9*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0392? (a) 5\/3 (b) -11\/151 (c) 0.1 (d) -2\/11 (e) 2 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.426403 + -297.866597. Let q = -298 - o. Let r = q + -0.023. Round r to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 9*j - 6*j. Let f(k) = -6*k + 2. Let w be f(j). Suppose w*g = 10*g - 8. Sort -3, g, 1 in increasing order.\nAnswer: -3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/17 not equal to -169\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.602949 millennia?\nAnswer: 860.2949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/10)\/((-51)\/(1275\/10))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133833069.335 less than -1.4?\nAnswer: -133833070.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 5:43 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -48*b - 18. Let y(p) = 11*p + 4. Let d(a) = 2*o(a) + 9*y(a). Let j(k) = 35*k - 3. Calculate d(j(i)).\nAnswer: 105*i - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f**4 + 5*f - 5*f)*(5 + 2 - 4) + 5*f**4 + 0*f**4 - 2*f**4 + (-f**2 + f**2 + f**3)*(-5 + 4*f + 5) as m*f**4 + c + x*f + n*f**3 + l*f**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66445524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1342 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 45876, -5, -4, 4, -1 in descending order.\nAnswer: 45876, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 237692416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*p**2 - 12*p**2 + 18*p**2 + 83*p**2 in the form q*p + h + a*p**2 and give a.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4213214120 (base 5) to base 3\nAnswer: -121102100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**8\/560 - d**6\/360 + d**3\/3 + 2*d**2. Let c(a) be the first derivative of s(a). Find the third derivative of c(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2.5, -0.11, 0, 0.2, -3 in descending order.\nAnswer: 0.2, 0, -0.11, -2.5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 359 and 349 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*y - 18 = 2*y, -6 = -v + y. Solve -4*u = 4*w + 4, -4 = -v*u - 4*w - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 14 = -9*s + 1 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*r - 2*k + 484, 4*r - 6*k + 9*k + 0*k + 58 = 0 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 3*k**2 + k - 1. Suppose 0*p + 5*p = -15. Let z be o(p). Which is the third biggest value? (a) 0.3 (b) z (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -598335597, -598335613, -598335655, -598335735, -598335865, -598336057?\n\"Answer: -2*r**3 - r**2 + r - 598335595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138\/581 - 4\/83. Let w = -39.5 - -29. Let k = w - -10. What is the closest to 0.1 in 4, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 6, -171, -432?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -49 + 4*j + 20 + 3*j**2 + 13*j. Is v(-12) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 7 + -9 + 15 + -48?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 38*z - 811 = -33*z, 5*z + 1647 = 2*b. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - w - 14, 4*s + 3*w + 0 = 22. Suppose 3*m = 2*j + s*m - 6, 3*m - 14 = -5*j. What is the second derivative of -2*u + 6*u**j + u - 5*u**4 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c - 14 + 14)*(4*c + 0*c - 2*c).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.91. Let i = -0.19 - v. What is the biggest value in i, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 31. Let c(n) = -2*n + 0*n + 7 + 3*n**2 + 3*n - 16. What is the remainder when a is divided by c(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1529 - 1408. Let u(x) = x**2 + 6*x + 3. Let w be u(-6). Suppose 2*l - 21 - 10 = -3*p, -w*l = -2*p + 25. What is the highest common factor of p and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 11*p - 12*p + 18*p.\nAnswer: -5*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 4*v - 8. Let n be i(6). Let h be 1*(2\/2 + 1). Suppose n*l - h*l = 0. Solve -2*x + 4*x + 4 = l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26564254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -6. Let g(u) = u**3 - 4*u**2 - 3*u - 4. Let a be g(m). Let h = 7146 - 7143. Solve 0 = h*j - a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4516 (base 10) in base 11?\nAnswer: 3436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102304610 (base 7) to base 16.\nAnswer: -5c5961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -567*h**3 + 840*h**2 - 48*h + 216603401.\nAnswer: -1701*h**2 + 1680*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49805998939 + -1059.\nAnswer: 49805997880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaaarrr. Give prob of picking 1 k, 1 r, and 2 a.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**3\/3 + x**2 - x. Suppose 2*y + 3*f + 2*f = 11, 5*y = 2*f + 42. Let m = -6 + y. Determine a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/16*80\/105*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = z, 0 = -2*v + 3*z + 7 + 9. Let l(d) be the first derivative of 2 - 3\/2*d**2 - 1\/3*d**3 + 3*d. Give l(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 5*x = -2*a + 29, 3*a + 19 = 5*x. Let o be 2\/(-3) + (-64)\/(-6). Suppose o = j + a. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1834806t?\nAnswer: 183480600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135\/44 - -68\/11. Let d = -243\/28 + s. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517376083?\nAnswer: 1517376083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 170464764 - -5?\nAnswer: 170464771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + (sqrt(396))**2 - (2*sqrt(1331) + (2*sqrt(1584) - sqrt(11)))).\nAnswer: -45*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w*w**(13\/5))\/w)))**5*w**1*w*w*w**9 assuming w is positive.\nAnswer: w**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28176 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145 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: Expand (0*t**3 - 2*t**3 + t**3)*(1 - 2*t - 1) + 0*t**4 + t**4 + 0*t**4.\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48791387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 16*v = -85234 + 84674, 5*t - 3*v + 105 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - y + 1. Let x = 8 - 9. Let a(p) = 3*p**2 + 2*p - 1. Let h be (-3)\/9 + 32\/6. Let q(u) = h*i(u) + x*a(u). What is q(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c + 1. Let t = -179 - -200. Let a(q) = -2*q**2 - t*q**2 + 21*q**2. Calculate d(a(r)).\nAnswer: 8*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-81)\/(-18) - 4). Solve -l*w = 5*g + 16, 3*g - 3 + 16 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 5*b**2 - 3*b**2)*(-4*b**3 + 2*b**3 + 4*b**3) - b**5 + 2*b**5 + 9*b**5.\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3 - 18. Let n(h) = 7108*h - 2337*h + 3030*h - 5. Let k be n(r). What is k rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455.8401 millilitres to litres.\nAnswer: 0.4558401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -739 - -420?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxox. What is prob of picking 1 x and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17961, -35915, -53855, -71775, -89669, -107531, -125355, -143135?\n\"Answer: c**3 + c**2 - 17964*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y. Let k be a(7). Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -495976150 + 64.\nAnswer: -495976086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/20 - 7*d**4\/12 - 5*d**3\/6 - 3*d**2 + d. Let y be c(7). Round y to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/24333?\nAnswer: 2\/24333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 7) in base 15?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(120\/9))\/((4329\/(-260))\/37)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**3\/3 - 5*n**2 + 3*n - 86. Let p be 9 + (-5 + 4 - -2). Calculate o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36336*u - 18168*u - 10*u**2 - 283*u**2 - 18168*u.\nAnswer: -293*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 167, 135, 69, -43, -213, -453?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(3*y - y - 6*y) + 12*y - y - 1 - 6*y.\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to -0.056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244685, -245409, -247379, -251219, -257553, -267005?\nAnswer: -280199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d**5 + 0*d + 0*d**2 - 9\/2*d**4 + 0 - 3\/2*d**3 = 0 for d.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtjxjjxxjxtjjj. What is prob of sequence jttx?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*u + 23*u - j + 9, -j = u. Solve u*t = -5*m, -19*t = -14*t - m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 123\/2*z + 1\/2*z**3 + 18*z**2 - 80.\nAnswer: (z - 1)*(z + 5)*(z + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -53. Suppose -a*x = 3*x. Solve x = -5*m + 6 - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317052 (base 8) in base 11?\nAnswer: 72728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 + 450*s**2 + 46947*s + 421470 = 0 for s.\nAnswer: -63, -10, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-5)*(-95)\/(-38). Solve -d*f - 20 = -13*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 13494943 = -a - t, -4 = -2*t. Let j = a + 7798315. Round j to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17493379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 428212328 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -158 + 173. Let z be (-65)\/25 + m + 6\/10. Which is greater: z or 1\/75?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1377)*-2 - (0 + -1 + sqrt(1088)).\nAnswer: -26*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -132359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -442*d**3 + 448*d**2 - 30*d + 30. Determine r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002540654829 rounded to 6 dps?\nAnswer: 0.002541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r - 8 + 4*r - 4*r**2 + 0*r**2 - r + 3*r**2. Suppose -65 = s - 6*s. Let f be p(s). Which is the nearest to -3? (a) f (b) -2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -27*z - 4. Let n(l) be the third derivative of l**4\/12 + 59*l**2 + 15*l. Determine s(n(h)).\nAnswer: -54*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6816 and 57066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(121) + 1*sqrt(121)) - sqrt(121))\/(sqrt(66)\/(-5*sqrt(6))) + -3)**2.\nAnswer: 210*sqrt(11) + 13484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5*t - 30, -3*d - t = -5 - 7. Solve -4*o = -b - 17 - d, -b = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -55. Let p = q - 12.7. Let l be (-2)\/(4\/(-18) + 48\/(-27)). What is the smallest value in 0, p, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 764 + 70573?\nAnswer: 71447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 175452 = 11*z - 18588. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*i - 10*i**3 - 28*i)*(i - 2*i - 2*i)*(-3 + 5 - 1) + (3*i + 3*i - 4*i)*(95*i - 98*i + 8 + 23*i**3 - 24*i**3).\nAnswer: 28*i**4 - 6*i**2 + 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171564 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 13. Let l be u(-10). Let b(a) = 5*a + 4. Let t be b(l). Let r = t - 1. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20100 + 21?\nAnswer: -20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5\/3 - 2*v**4\/3 + 2*v**2\/3 - v\/3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5343625 a multiple of 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 130*g**3 + 13 + g**2 - 13.\nAnswer: -130*g**3 + g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -15.\nAnswer: 86\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2033 = 24*r + 117*r - 34*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 - 10*v + 13. Let b be w(10). Let i = -276 - b. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17785847*t**2 - 34038598 with respect to t.\nAnswer: 35571694*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/((a**(-2\/7)*a)\/a)*a))**42 assuming a is positive.\nAnswer: a**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19601153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*w - 181*w - 63 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 268 + -451. Let b = -108 - t. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1110*u**3 - 898*u**2. Let o(d) = d**3 - d**2. Let r(c) = 3*o(c) + x(c). Find the third derivative of r(w) wrt w.\nAnswer: -6642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2723084.\nAnswer: 2, 7, 13, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:07 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7601*p. Let o(u) = -15226*u - 1. What is 2*o(k) + 5*x(k)?\nAnswer: 7553*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqy when three letters picked without replacement from {q: 1, d: 1, y: 2, c: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 64 times 0.048\nAnswer: 3.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - z**2 - 2*z - 1. Let i be h(0). Let n be (i\/(-5) + 0)*2. Put -4, -3\/5, n in decreasing order.\nAnswer: n, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -47*h**4\/4 - 311*h**3\/3 + 8*h - 1. Find the second derivative of f(y) wrt y.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8083*l**3 - 43674*l**2.\nAnswer: 48498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6554.586um to nanometers.\nAnswer: 6554586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - (67 - 64) - 70) + (-1 - 11)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/15 + 4*k**3\/15 - 2*k**2\/5 + 19*k. Determine s, given that q(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437465045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 53. Calculate the greatest common factor of 75 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Let g(a) = 4129*a - 34. Let o(u) = -5780*u + 49. Let y(s) = 7*g(s) + 5*o(s). Let f(k) = 4*k + 7. Determine w*f(t) - 5*y(t).\nAnswer: t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 448 - 437. Suppose 17*n = s*n + 750. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16539*y**2 - y + 1. Let k be n(1). Suppose -2*x - k = 2*j - x, -j + 2*x - 8272 = 0. What is j rounded to the nearest 100?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4067, -17603, -40163, -71747?\nAnswer: -112355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l**4 + 25*l**3 + 51*l**2 - 9. Let s(m) = -3*m**4 - 6*m**3 - 13*m**2 + 2. Let p(c) = -9*s(c) - 2*t(c). What is the third derivative of p(d) wrt d?\nAnswer: 168*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -10.5. Let o = k + 2.6. Which is the third biggest value? (a) 2 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -3\/337, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfbp when four letters picked without replacement from bfibvapf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - (1 + 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 846*c**2 + 691*c**2 - 682*c**2 to x + q*c**2 + s*c and give q.\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23252040 by 420.\nAnswer: -55362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from vuuuqujquqjujjjuvuuv?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60580712, 121161422, 181742132, 242322842, 302903552?\nAnswer: 363484262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -12 (b) 5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -214820 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/11)*p*p\/(p*p*p*(p*p*p**19)\/p*p))\/(p*p**27*p*p**8))**(-1\/57) assuming p is positive.\nAnswer: p**(643\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.158404 centuries to months.\nAnswer: 8590.0848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0.22, -1 in increasing order.\nAnswer: -33, -1, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 - -8. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3489*x**3 + 4551*x - 4551*x + 79*x**3.\nAnswer: -3410*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -0.06, 0.1, -10 in descending order.\nAnswer: 5, 1, 0.1, -0.06, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 89815*t**2 + 3*t**4 - 89802*t**2 + t + 7*t**4 + t**3 to the form o*t**2 + d*t + p*t**4 + z*t**3 + b and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4374 (b) -0.03 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562 is divided by 157?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.9243\nAnswer: 1.8486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2268*n + 14737 - 13521 + 31424 = 92*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34075526 is divided by 231806.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**3\/3 - 2*o**2 - 594*o. Let m(g) = -4*g - 8. What is -2*m(l) + 5*x(l)?\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 14, 16, -559, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from {c: 1, w: 5, x: 7, a: 2, f: 1}.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-78)*(43 + -55). Suppose 12\/13*i**3 - c*i**5 + 14\/13*i**2 - 34\/13*i**4 + 0 - 4\/13*i = 0. Calculate i.\nAnswer: -1, 0, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63624172*t**3 - 328116*t**2 + t?\nAnswer: -381745032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, g: 4}. What is prob of sequence gzg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 18*a**2 + 3*a + 1. What is v(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-2\/5))**(-32) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310221738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iikkiiiiii. Give prob of sequence iii.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 504\/132 + -3\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 4, -3\/4, 1150\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.5. Suppose -n = -3*n + 22. Suppose -2 = 2*m, n = 5*o - 3*m + 7*m. What is the biggest value in o, 2\/11, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 36*i**3 + 540*i**2 - 77*i - 1154. Determine l(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.2 - -17.2. Let q = 11 + -11. Which is greater: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/10)\/g**(-4\/9))\/((g**(-4)\/g)\/g*(g*g*g**(-12)*g)\/g*g) assuming g is positive.\nAnswer: g**(1399\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -4. Let r(o) = o - 7. Calculate r(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/8)\/(3\/18). Suppose l*x - 5*u - 1828 = 5*x, -2*x - 5*u = -944. List the prime factors of x.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-62265)\/(-41510))\/((-4)\/((-4)\/3)))\/((-274)\/(-8)).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 = 11. Let k be 2 - (-3 - (-2 - -3)). Suppose -k = -c*j + 3*w, -3*j + 2*j + 3*w = 0. Calculate the lowest common multiple of 9 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53502153 + 10?\nAnswer: 53502203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*a = -42, 0 = 18*u - 13*u - 2*a - 318. Solve 24*x - u - 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n - 2*n + 3*n - 6*n)*(-7*n - 35 + 35).\nAnswer: 91*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 15.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:05 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6)\/sqrt(2)) + sqrt(120)\/sqrt(3))\/((sqrt(135)\/(3*sqrt(9)))\/sqrt(3)).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07682 + -0.02318. What is the biggest value in 0.1, -0.2, 0.4, -28\/3, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdk when three letters picked without replacement from {d: 1, k: 5, z: 3}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - 2*sqrt(170))\/sqrt(10) + (sqrt(17)*2 + -4)**2 - sqrt(136)\/(3*sqrt(392)).\nAnswer: -358*sqrt(17)\/21 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + ((sqrt(441)\/(sqrt(35)\/sqrt(5)))\/sqrt(9))**2).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n - 169*n + 88*n - 44 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 392\/(-42)*(72\/70)\/((-18)\/1215). What is the highest common factor of c and 2862?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 7, m: 2}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/5 + (441\/98)\/((-36)\/(-16))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 52. Let l be g(48). Sort l, -1, 1, 58.\nAnswer: -1, 1, l, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/(2\/(-436))*1. Let t = k - -1106. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30720 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*y + 2, 2*v = 4*y - 2*y - 2. Suppose -2*k = -8 + 2. Suppose -k*z = v*z - 60. Calculate the remainder when 23 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -23*g - 177. Let j be u(-20). Suppose 3*t = 2*x - 547, 826 + j = 4*x - t. Calculate the remainder when x is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 375345 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.09, -29, 4, 5, -4\/5, -1.\nAnswer: -29, -2, -1, -4\/5, -0.09, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 + r + 5. Let k be t(-3). Let w = k - 9. Solve -2 = -3*h + w*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 594804 + -5?\nAnswer: 594799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4744 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -12. Let k = -3.4 + 2.3. Let x = -1.1 - k. Which is the biggest value? (a) m (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37596 and 44564.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/188667 - 144330203\/4905342. Which is smaller: -28 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*r + 361 + 196, t + 135 = 3*r. Let k = -135 - t. Calculate the least common multiple of 39 and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.1 - 29.6. Let y = 17\/11 + -107\/55. What is the second smallest value in 4, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 f, and 1 r when four letters picked without replacement from {r: 2, e: 10, f: 2}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**8\/11760 - f**6\/420 + f**5\/105 - f**4\/6 - 18*f. Let o(g) be the third derivative of n(g). Suppose o(p) = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 915.\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23778587, 47557172, 71335757, 95114342?\nAnswer: 118892927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 29, 42, 57?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 4. Let z be m(12). Solve z = 3*o - 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 20. Let o be i(8). Let y(w) = -21*w**3 + 3*w**2 - 10*w + 5. Let j be y(o). Let n = j + 2160. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 524136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 + 4.81. Let v = -0.1 + 0.1. What is the nearest to v in 1, 4, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*t - 3. Let j be (-1)\/t + 308\/8. What is the greatest common factor of 26 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*w - 2025 = 34*w + 3718 + 2408 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 721799321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480573217 divided by 2?\nAnswer: 480573217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-1))\/(-165*(-26)\/1404).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 10*k**3 + 1 - 5*k**2 + 2*k + 13*k**3 - 22*k**3 + 6. Give s(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 + n**4 + n**2 - 3*n**3 + 3 - n - 2 as o + r*n**4 + j*n**2 + h*n**3 + a*n and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/12 (b) -1925 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 5920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -370\/199?\nAnswer: -370\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -18. Let v = f - 5. Let m = 3.7 + -3.7. What is the nearest to m in v, -0.1, 20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65380321982 and 120?\nAnswer: 65380321862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g**2 + 32*g + 49\/2*g**3 + 0 = 0.\nAnswer: -8\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0281782 rounded to 3 decimal places?\nAnswer: -2.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55 plus 330?\nAnswer: 329.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.349053 kilograms in milligrams?\nAnswer: 6349053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 99540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 39 - 12. Which is the smallest value? (a) 0.2 (b) h (c) 1\/7 (d) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 214 or 209?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*g + 177 - 9, -o = -3*g + 51. Let t = 41 + o. What is the smallest common multiple of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 11 - (23 + 0).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a factor of 8012700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986543.1 months to centuries.\nAnswer: 822.11925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - t. Let o = 55 - 56. What is the least common multiple of i(1) and o\/(((-4)\/(-5))\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.86 (b) 0 (c) -2\/29 (d) 45\/2 (e) -6 (f) -2 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*b + 25. Suppose -b = -4*m + 12. Solve -m = k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 - 6) - 2 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 609500*k**2 + 2438060*k + 2438080.\nAnswer: -5*(k - 121904)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 - 10*n**3*q + n**3 - n**2*q - 3*n*q + 17*n - 20*q wrt n.\nAnswer: 40*n**3 - 60*n*q + 6*n - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*b - 48, 4*b + 229*p - 234*p = -64 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/((-19250)\/(-392)))\/((-15)\/975*-13).\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 31 = -4*f + 8*f, -2*f = 3*d - 1. Find the third derivative of 34*n + 2*n**2 + n + 46*n**d + 6*n wrt n.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18633388*b**2*x**2 - 14286*b**2 + 213*x wrt x.\nAnswer: 37266776*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13534464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89384 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6849.2 - -2.\nAnswer: -6847.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 24. Let p = 4 + -7. Let x = p + v. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/55)\/(((-8)\/210)\/2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(2736))**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 21 + 5. Suppose -5*p - r = -476. What are the prime factors of (p\/20)\/(1\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288027 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-6))\/(3\/45*5). Suppose z*s = -71 - 5. Which is bigger: s or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 + 2*n**2 + n - 1. Suppose -282*y + 360 = -372*y. Let r(d) = 16*d**3 - 11*d**2 - 5*d + 5. What is y*r(f) - 22*x(f)?\nAnswer: 2*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d + c = 3, 2*d - 15 = -5*c. Suppose -5*q - 3*u + 139 = d, -4*q + u + 119 = 6*u. Let y be (q\/(-52))\/((-1)\/(-110)). Round y to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 * -1582.09\nAnswer: -219910.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**3\/3 - 3*r**2\/2 - 329. What is b(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.24 - -2.14. Which is the nearest to j? (a) 0.3 (b) -0.3 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w + 2. Let u(d) = 16*d + 11. Let k(b) = -33*r(b) + 6*u(b). Let x(j) = -4*j. Determine k(x(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5337957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -106. Let g be d\/(-7) - 42\/(-147). Solve -g = -j - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -35*g - 84. Give a(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 2*g + 8. Let y(z) = 2*z**2 - z + 3 + 0*z**2 - 4*z**2 - z**2 + 2. Give 5*v(f) - 8*y(f).\nAnswer: 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**5\/10 + b**4\/12 - 13*b**3\/6 + 7*b**2\/2 + 5*b. Is s(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 109623921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*q - 330. Let n be 2\/(-20)*-218 + (-1)\/(-5). Calculate the remainder when 21 is divided by 12\/q + 260\/n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1764 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t - 8. Let f = 5 - 5. Solve -v + 6 = t*v + s, f = 3*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62476, -62474, -62472?\nAnswer: -62470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2710 by -542.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-1)\/(4\/(-12))). Suppose 0 = -6*y + 7 - t. Which is smaller: 7\/16 or y?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-1 + 3)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3173032.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90545*b**5*h**2 + 16*b**3 + 5*b**2*h**2 - 661*b**2*h - 21*b*h**2 - 13*h**2 wrt b.\nAnswer: -5432700*b**2*h**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3)\/(-2) + 12\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2)*(2 - -1). What is the nearest to -1 in 1\/7, -1\/6, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1894 + -841. Is (-2)\/10 + m\/15 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 6) to base 3\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*i - 522 = i, -f + 4*i - 536 = 0. Let b = 862 + f. List the prime factors of b.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06 and 1761?\nAnswer: 1760.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-60)\/150*(1 - 791) is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*l - 15, -2 = 4*l - 4*t - 22 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513*p + 518*p - 378 = -3*t, -12 = 3*t. Solve -p + 122 = -11*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*((-385)\/(-66)*3)\/((-30)\/48)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -33*j + 105. Let o be q(3). Let p(n) be the second derivative of n + 1\/20*n**5 - 5\/12*n**4 - n**3 + 0 + 4*n**2. Determine p(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 745, 2484, 5865, 11434, 19737, 31320?\nAnswer: 46729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + 20\/(-40). Solve 0*u - 5*u = x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + h**2 - h**2 + (0*h + 0*h - 2*h)*(-3*h**3 + 2*h**3 - h**3) + 2*h**4 - 4*h**4 + h**4 + (-6*h - 2*h + 3*h)*(0*h**3 - 2*h**3 + 3*h**3).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + 3*sqrt(26)\/sqrt(2))*6 + (sqrt(104) - (1*(sqrt(104) - -1*sqrt(104) - sqrt(104)) - sqrt(104)))\/(sqrt(8) - (2*sqrt(80))\/sqrt(10)))**2 + 0.\nAnswer: 1224*sqrt(13) + 8162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + (-1014)\/(-24) - 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f - 833635 + 833692 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxoz when four letters picked without replacement from ouozxxooxooxuoxo?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-6))\/(3\/(-13941)). Let k = 2269 - p. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -99.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 928, 930, 930, 928, 924, 918?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 10:01 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -14 + 13*x - 23*x**2 + 6*x - 25*x**2 + 49*x**2. Let n be g(-20). Solve 0 = 19*u - 16*u + n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1545 divided by -515\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)\/f**(4\/9))\/(f**5*f*f**(-11)) assuming f is positive.\nAnswer: f**(178\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 459358.1 millilitres?\nAnswer: 459.3581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -99, -4\/3, 25, 358, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 10 - 26 = -4*r, -4*d + 2*r = 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 33, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 9 = -5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - i**2 + 3*i**2 + (0*i + i - 3*i)*(-4 + 2*i + 4 + (i + 0*i - 3*i)*(-7 + 13 - 29)).\nAnswer: -94*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.28 - -12.72. Let u = 8.4 - 20. Let h = q + u. Round h to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 9*f + 9. Is 4\/((-20)\/(-185)) + f\/3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x + 6 = 18*x. What is the second smallest value in 1, x, 13\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34 + 24.\nAnswer: 24.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -179 + 32*p + 178 + 32*p in the form g*p + y and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**3 + 527*k**2 + 566.\nAnswer: 9*k**2 + 1054*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -12, -67, -144, -243, -364, -507?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 828*b**2. Let o(i) = 8*i**2 + 6*i + 3. Let a(n) = -11*n**2 - 8*n - 4. Let g(l) = 3*a(l) + 4*o(l). What is g(t(s))?\nAnswer: -685584*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 15*t - 21*t = 0. Let h = 79\/6 - 25\/2. Which is the nearest to -1? (a) 5 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 y, and 1 r when four letters picked without replacement from {y: 2, w: 3, x: 9, r: 1, o: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 - 649 = -6*g. Let a = 75 - 43. What is the highest common factor of g and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1153, 1135, 1117, 1099, 1081, 1063?\n\"Answer: -18*o + 1171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.7, -4, -1\/3, 5, -1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 - 11*r - 11. Let w be q(-3). Suppose -k + w*l = -337, -57 + 1460 = 4*k - 5*l. Calculate the highest common divisor of 51 and k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13069833 and 21903?\nAnswer: 3129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 26574632?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z**2 + 13*z**2 + 22*z**2 + 20*z**2 - 95*z**2 + 20*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.15 + -8. Let c = -1 - -1.05. Let r = a - c. Is r at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11625 and 1095.\nAnswer: 848625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, -2, 48, 4, -5 in increasing order.\nAnswer: -31, -5, -2, 4, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 + 83*z**2 + 9*z - 6. Calculate the remainder when p(-15) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(240\/20))\/((-10)\/2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 165\/(-24))\/(12\/(-24)*-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -2046, 2, 3 in decreasing order.\nAnswer: 3, 2, -75, -2046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118\/407 + 4\/37. Let q = 152 - 87. Let m = q + -64.99. What is the biggest value in -4, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 52 = 32*u. Solve 10*v - u = 12*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2225 + 2243. Calculate the remainder when 68\/(-10)*-1*5 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + -16 + 28 + 38?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3135 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 3*w - 2*w + w**2 - 1 - 3*w**2 + w**2 + 0*w**2 + (2*w - 1 + 1)*(-3 - 2*w + 3) - 2 - 2*w**2 + 2 as r*w + a*w**2 + c and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 96*t - 259*t - 478*t**2 + 479*t**2 + 25281 - 155*t = 0. What is t?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*0\/(-3). Let o = h - -8. Suppose u + 6 = f - o, 4*f = -u + 61. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249579213 divided by -1?\nAnswer: -249579213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 741, 701, 599, 405, 89, -379?\n\"Answer: -5*i**3 - i**2 - 2*i + 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 55 - 35) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 46 = -2*c, -4*c + 7*f = 2*f + 104. What is the common denominator of 4\/(-4) + (-4)\/56 and c\/60 + 1 - 3?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325056, -1300221, -2925496, -5200881, -8126376, -11701981?\nAnswer: -15927696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975990?\nAnswer: 2, 3, 5, 32533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (0 - -1) - -2) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 147, 180, 229, 300?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 6*m. Let n be l(-5). Suppose v - 10 = -v + h, 0 = -v - n*h - 17. Solve -v*k + 8 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*k + 86*k + 85*k**2 - 214*k + 1 - 19*k**2 + 17*k**2.\nAnswer: 83*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**5\/45 - 5*f**4\/27 - 17*f**3\/54 - 2*f**2\/9 - f + 19. Factor w(b).\nAnswer: -(b + 4)*(2*b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o - 72. Let l = o + -47\/2. Let z = -243\/4 + 4625\/76. What is the closest to l in 2\/11, z, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 25*g**2 - 159571305*g - 127657060 = 0.\nAnswer: -4\/5, 6382853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1764 is divided by 825?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*p + 80 = 0, -6*s + 4*s = -5*p - 1. List the prime factors of (139\/(-4))\/(s\/(-52)).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {b: 7, l: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((144\/(-102))\/8)\/((-543)\/227698)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 2*d**2 - d. Let w(y) = 5*y**3 - 14*y**2 + 18*y + 2. Determine -6*u(i) - w(i).\nAnswer: i**3 + 2*i**2 - 12*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdbdymkkmdddgdddddd. What is prob of sequence kkgd?\nAnswer: 11\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 682*y - 2046. What is i(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/81983 > -4169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1257412 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 8*k**2 - 4. Let w(l) = 4*l**3 - 33*l**2 + 18. Let u(p) = -2*w(p) - 9*x(p). Suppose 12 = -0*f + 2*f. Give u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2922 smaller than 2923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:20 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222011 (base 3) to base 6.\nAnswer: 3134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 + 68*o + 7. Let j(h) = h**2 - 9*h - 1. Calculate -6*j(r) - v(r).\nAnswer: -2*r**2 - 14*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/8*(-2 - -4). Suppose 2*s - 7 = -5*j, -5*j - 4*s + 2 + o = 0. Which is the biggest value? (a) -0.2 (b) j (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 6}. Give prob of picking 1 h and 1 l.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -3*n**5 + 3*n**4\/4 + 277*n - 450. What is the derivative of q(u) wrt u?\nAnswer: -60*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 21 + 132 = 3*m, -3*r - 5*m = 47. Is -25 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17241\/11 - -1569. What is the common denominator of d and -39\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*c + 0 - 226*c + 3 - 4 - 26*c.\nAnswer: -146*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*c - 41. Suppose 4*p - 111 = 4*k - 3, -p - 3 = 5*k. What is the lowest common multiple of 45\/c*(-8)\/3 and p?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + r = -124 + 333, 0 = -3*h + 2*r + 143. Let b = h + -62. Let i(k) = 4*k + 2. Let m(o) = -21*o - 10. Calculate b*i(l) - 2*m(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 12 = -5*d, -4*d = 3*f + 10. Let n(z) = 5*z - 10. Give n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3773 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*k**2 + 23*k**3 + 2*k**3 - 108*k**2 + 56*k**2.\nAnswer: 25*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 389021 or 389026?\nAnswer: 389021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2026663620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16090760 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + -4 + 4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let o = x + 0. Let f = o + -3. Is f less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22847 and 186527.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3600 and -187\/223200.\nAnswer: 223200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.7. Let i = 168 - 172. What is the nearest to 1 in i, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 625*i - 3 + 9 + 5 - 11 as r*i + h and give r.\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2632 divided by 4\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-4)*243000\/14175?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115078?\nAnswer: 2, 3, 7, 50359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*s**2 + 37 + 2*s - 21*s**2 + 107*s**2 + 3*s**2 wrt s?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120 less than -99?\nAnswer: -3219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, d: 5, k: 6, n: 1}. What is prob of sequence knd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -29. Is 0.2 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 10. Let d be (-132)\/(-10)*(6 - 1). Calculate the remainder when (-3)\/(-3)*d\/3 is divided by r(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (239 + 614 + 188 + 125 - 155)*(9 - 9 + 6*w**3) as t*w + u + d*w**3 + v*w**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(5 + 1 - 3)*(-2 - q + 2)*(0 - 9 + 21)*(1 + 4 - 3)*(2 - 2 - 3).\nAnswer: 216*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/261 and 41\/377.\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -535 - -5015. Let i = -3027 + g. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + 1 + 2 + -6) - 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.4*26.\nAnswer: 894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f**2 - 10*f - 4. Let h(m) = -2*m - 1. Let s(p) = c(p) - 6*h(p). Determine s(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9052915 centuries to years.\nAnswer: 90.52915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 945.655297 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -509928.8 - 0.3\nAnswer: -509929.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2540 is divided by 421?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -6 - r**2 + 0*r + 0*r**3 - 1\/4*r**4. What is the second derivative of p(v) wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/10)\/(-6 + (-352)\/(-60)). Suppose -3*g + g - 2*j = u, 4*j + 12 = 0. Let b(p) = -p**2 - 3. Determine b(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-21)\/4))\/((-2)\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2587738 = -63*m - 2586478 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 9 - 16)*(5*o - o + 5*o) to the form p + m*o and give m.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + (3\/2122)\/(36\/127128*1). Sort s, 1\/3, 0.1 in ascending order.\nAnswer: s, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.5. Let m = 0.054 - 0.354. Let s = m + 0.2. What is the smallest value in s, -1\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 105*i - 14 = 108*i, 8 = a - 2*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.8 + 4. Let u = -34 + 38.87. Let n = -0.13 - u. Put n, -3, m in increasing order.\nAnswer: n, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 56*u - 78 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 228519 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8667 and 325593189.\nAnswer: 8667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68a - 7?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49814, -101399, -152930, -204401, -255806, -307139, -358394?\nAnswer: -409565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795911885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04467692452 take away -0.147?\nAnswer: 0.19167692452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 0, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25611 + 38.26211. Let t = w - 0.006. Let l = t + -38.76. Round l to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149720.\nAnswer: 2, 5, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 63?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 263251320713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:16 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39, 86, 133, 180?\n\"Answer: 47*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11245 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*s + 69*s - 51*s**2 + 55*s**2 - 4*s**4 as o*s**4 + a + r*s + w*s**3 + i*s**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2445 and 1545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, r: 12}. What is prob of picking 3 o and 1 r?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01539534122 rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lqqqll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -411 times 3\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*d = 3 + 3, 4*d - 8 = 4*c. Suppose 2*q + q - 2*n + 3 = c, -4*n + 17 = 5*q. Which is bigger: q or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -996, -997, -982, -939, -856?\n\"Answer: 2*j**3 - 4*j**2 - 3*j - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 39353951.\nAnswer: 157415804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 63, 3\/5, -5, 0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + 26 + -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19663, -78662, -176997, -314668, -491675, -708018?\n\"Answer: -19668*y**2 + 5*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -163576, -163573, -163564, -163549?\n\"Answer: 3*u**2 - 6*u - 163573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/15)\/u**24 assuming u is positive.\nAnswer: u**(-364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10962 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.024 + 0.068. Let d = -39.092 + a. Let g = d + 40. What is the nearest to -0.3 in 0.1, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuxxuuuuuuuuuuuuuuu. Give prob of sequence xxu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -35235 (base 8) in base 5?\nAnswer: -440010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.025595 and 3.3.\nAnswer: -0.0844635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1237744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*m + 2*c, -5*m + 8*m = 4*c + 8. Suppose 3*v + 5*a = 9, -3*a = -4*a. Suppose v*o = 11 + m. Put -4, -2, o in descending order.\nAnswer: o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20702177 to the nearest integer?\nAnswer: 4550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u - 5*l = -23, 0 = -2*u - 2*l + 10. Suppose 22 = -3*k + 49. Calculate the remainder when ((-42)\/k)\/((-14)\/21) is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 29, 71, 131, 215, 329?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2 - 1 + 15 + 9*o + 4*o**2 + 2*o**2. Is 24 a factor of j(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 49*v**2 + 416*v - 73. Let y be o(-38). Let t = 5\/3 - 37\/24. Which is the biggest value? (a) y (b) t (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 3*q - 5. Let m be v(-5). Suppose 0 = -y + 10 - m. Suppose 3*p + 2 - 4 = 2*d, 2*d = 2*p. Calculate the remainder when y is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from bmmmommmxobxmomm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**3 - 8062*i**2 - 3534*i - 499730. Determine t(-1612).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*12\/(-8)*8\/(-204)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 154196, 153220, 151596, 149324, 146404, 142836?\n\"Answer: -324*n**2 - 4*n + 154524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -472.3139981 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11002 (base 3) to base 8\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l**(-2\/17))\/l)\/l)\/l**6)\/(l*l**0)**24)**(3\/40) assuming l is positive.\nAnswer: l**(-1587\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1364114 and 2271.\nAnswer: 4092342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -779 - -787. Solve -4*y = 5*a + 5, -x = 4*a - 2*y - 30 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*u - 4, 4*u - 32 = -u + 3*j. Let k(a) = a**3 - 4*a**2 - a + 5. Let l be k(u). Sort -3, 0, l in decreasing order.\nAnswer: l, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1862 + 50*q + 1862)*(-1 + 2 - 2)*(-2*q + 2*q - 2*q).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 16*c - 60. Let l be (5 + 4)*9\/9. Let w be q(l). Solve -10 = w*x - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 0 + (-3 - -14*9\/18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-50)\/(-100)*(1 - 3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -194\/5. Let g = 2.5 - 3. Which is the nearest to -2\/5? (a) g (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**4\/4 - 2*b**3 - 14*b**2 - 15*b - 142. List the prime factors of s(-10).\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1437053?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.2 take away -0.05?\nAnswer: 30.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 8 + 3 + 1 + -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.222 - -0.052. What is the third smallest value in 2\/7, 0.2, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -333, 1\/5.\nAnswer: -333, -2\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + -3 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*5\/175*(-196)\/42?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y + 29*y + 10 = 0. Let h be -1 + (-13)\/(-5) + y. What is the closest to h in -0.1, -3\/8, 2\/13?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87381730 is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910814?\nAnswer: 2, 455407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64688\/(-2488))\/(26\/(-71)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*d - 30, 0*n + 2*n + 3*d = 32. Suppose q + n*q = 4136. List the prime factors of q.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times -4391?\nAnswer: -614.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czhkqvcq. Give prob of picking 1 k and 2 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*f = -1023, 2*k - 5*f = 257 + 404. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 890, 1782, 2674, 3566, 4458?\nAnswer: 5350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8*z - 20 = -w, z = 5. What is the remainder when 115 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 26\/197711?\nAnswer: 26\/197711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -30. Let n = 44 - i. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 15) to base 16.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(228)*3 + -6*(sqrt(228) - 1*sqrt(228))))\/(3*(sqrt(1200) - sqrt(1200)*2)*3).\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 300313291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5720 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/13740932 and 75\/22?\nAnswer: 151150252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243474849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -963485154508+0.26\nAnswer: -963485154507.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -9. Let h = -8 + v. Let o = h - -4. Sort o, 1, 1\/11.\nAnswer: o, 1\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + 0.2. Let m be ((-4)\/(-3))\/(30\/(-27)). Sort l, m, -4\/5.\nAnswer: m, -4\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17188 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2822 is divided by 936?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 1245 - 8*w**3 - 385 - 120.\nAnswer: -8*w**3 + 499","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 127*h - 9239. Calculate t(75).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135601 - 267?\nAnswer: 135323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -5 - (-1 + 0 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39715*b - 80904*b + 32020*b.\nAnswer: -9169*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -2de?\nAnswer: 2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**4 - 5*d**3 - 1553*d + 1555*d - d**4 - 6*d**3 to y*d**2 + x*d**3 + q*d**4 + s + c*d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 1 - 19*s**5 - 3 + (0 - 3 + 2)*(3*s**5 - 4*s**5 + 4*s**5 + (3*s - 3*s + 2*s**5)*(4 - 1 - 1)).\nAnswer: -26*s**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 13*v**4\/6 - 18*v - 72. Let w(r) be the first derivative of c(r). Let u(i) = 2*i**2. What is u(w(y))?\nAnswer: 1352*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**6\/75 + s**4\/20 + s**3\/15 + s**2 + 3. Let t(q) be the second derivative of n(q). Factor t(w).\nAnswer: -2*(w - 1)*(2*w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(1 + x**2 - 1) + (7 - 13 - 5)*(-x + x + x**2) - x**2 - 2*x**2 + 0*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -214191 plus 3493902835?\nAnswer: 3493688644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*o - 3 = -5*o, -4*z + 15 = -3*o. Let c be (-9 - 56\/(-6))*(1 + 11). Differentiate -4*l**3 + z*l**3 + 39*l**3 + c*l**3 - 1 with respect to l.\nAnswer: 126*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12984 - -13051. What is the remainder when 659 is divided by u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437817, 437936, 438055?\nAnswer: 438174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 910 divided by -2\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.2301376 + -2.\nAnswer: 5.2301376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4*f - 14, 10*x - 11*f - 54 = -14*f for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - 18*y - 51. Let x(t) = t**2 - 9*t - 25. Let s(u) = 2*g(u) - 5*x(u). Let q be s(-6). Solve -10 = -q*a, j + j = 3*a - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15566969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1783*z + 153225. Determine j(-86).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let c(z) = 14*z + 2. Suppose i - 60 = -4*i. Give i*w(j) - c(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-1 + (4 - 2)). Suppose r + 2 = -p, 2*p + t*r - 11 = 3*r. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-15) - (-7)\/(-3). Let b be ((-21)\/9)\/(a\/(-225)). Let n = 336 + b. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t + 8*t - 48 - 13 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*n + 133 + 96*n - 43 to the form w*n + r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h**2*l**3*t + 2*h**2*l**3 - 260*l**3 + 29686*l**2 - 35323994*l*t + l wrt t.\nAnswer: 5*h**2*l**3 - 35323994*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 67a0b2 (base 13) to base 10\nAnswer: 2449800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131.01 - -131.51. What is the smallest value in 2, 0.2, q, 0.1, 190?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175297667887 - 12.6\nAnswer: -175297667899.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 0 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from ndcndcnnd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1382293759 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + (-410)\/(-40))\/((-213)\/72 + 3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 432a09a5?\nAnswer: -432a09a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/5 - 2918*k**4\/5 + 12510*k**3 + 990206*k**2\/5 - 4578448*k + 4368480 = 0.\nAnswer: -19, 1, 20, 1437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p + 2*p - 107*p = -897 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-735*w + 285070 - 285070)*(-2*w**2 + 2*w**2 + 5*w**2) to the form g*w**2 + m*w**3 + f + h*w and give m.\nAnswer: 7350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + u**2 + 3 + 16*u - 3 in the form l*u**2 + x*u + m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 465\/31 - (-64 + 1)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 7. Let n(o) = -o**2 - 6*o - 1. Let m be n(-6). Let w(v) = 8*v**3 - 6*v + 6. Let j(g) = g**3 - g + 1. Give m*w(i) + y*j(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i - 711 = 0. Find the common denominator of (2\/6)\/((-10)\/i) and (-1059)\/3530 + (-622)\/860.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and 1\/77572163 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434702 is divided by 22060?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 56 = -2*r. What is the remainder when 188 is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157910 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 + 2*s + 11\/5.\nAnswer: -(s - 11)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-3 + 5\/2). What is the third biggest value in -2, 3, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmfb when four letters picked without replacement from mbbbmbbmf?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 37*l - 124 = 36*l, 102 = 4*c - 2*l. Calculate the remainder when 149 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1841*d**2. Let h(l) = -5*l**2. What is c(h(q))?\nAnswer: 46025*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1335 - 132?\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -y - 11, -y + 4*y = 5*x - 21. Let d = 2.8 - -0.2. Let o = d - 2. Which is the nearest to o? (a) -0.1 (b) y (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than -945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -253, -488, -729, -976?\n\"Answer: -3*v**2 - 220*v + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*(7 - 3). Suppose 7*g - b*g = 390. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 496*i*j + 2*i*k - 89*j + k - 2 wrt i?\nAnswer: 496*j + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 1 + 16*r + 3 - 12*r.\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-12))\/(4\/18). Suppose -10*k + 58 + n = 0. Let i be (k - 4 - 4)\/((-1)\/(-2)). Let s(d) = -2*d - 3. Calculate s(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -33 - (-43 - -37 - 2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 25.2. What is the closest to s in -3\/4, 5, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/77 - -18\/77. Let s be 140\/(-192) + (-1)\/(-3). Let v = 1\/16 + s. Sort i, 2\/5, v.\nAnswer: v, i, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290 divided by -58.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*w - 85*w - 4*k - 24, -2*k = 12. Put 1, w, -33, -6, 2 in decreasing order.\nAnswer: 2, 1, w, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 minus -0.174?\nAnswer: -108.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97245 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11996025 to the power of 1\/2, to the nearest integer?\nAnswer: 3464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1840124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(288)\/(sqrt(18)\/sqrt(2)) - (sqrt(192)*2)\/sqrt(6))**2 + 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 6318630*s**3 + 1996367985945*s**2 - 71863105902300*s + 646749528520500.\nAnswer: 5*(s - 631845)**2*(s - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28663714 by -43.\nAnswer: -666598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*(2*sqrt(117) + sqrt(117)))\/(sqrt(90)\/(sqrt(30)\/sqrt(3) + sqrt(10))) + -3 + sqrt(13) + 1 + 3*(sqrt(52) - sqrt(13)))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5322*z - 1967. Is m(54) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-85) - (-2)\/20 - 407\/74.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1650 and 202125?\nAnswer: 404250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4741610 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 16*r**2 + 6*r - 30. Is d(6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m + 40*m = -67*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (459 + 18)*(-1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/60 + z**4\/24 + 184*z**2 + z + 3. Let v(l) = l**2 + 4*l - 2. Let s = 0 - 0. Let r = s + 1. Determine r*v(a) - 3*u(a).\nAnswer: -2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29.3579 and -0.19.\nAnswer: 29.1679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.06 + -0.47. Let b = 0.06 + q. Let m = b - 0.45. What is the closest to m in -2, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22154 is divided by 11068?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 16 = 0, 4*q - 2*r - 7 = 9. Let p(w) = 7*w + 17. Let d(n) = 42*n + 45. Let f(v) = -8*v - 9. Let j(y) = 2*d(y) + 11*f(y). What is q*p(x) + 11*j(x)?\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9190 - -42185. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -51*g**3 + 3*g**2 - 6*g - 8. What is o(-1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 5, p: 1, r: 1, u: 2}. What is prob of picking 1 r, 1 l, and 1 u?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -115\/3. Let w = 0 - -1. Let d = -1 + w. What is the closest to d in x, -4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 560\/5181 or 1?\nAnswer: 560\/5181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 36 = 4*u, -5*u + 45 = 2*y + y. Let p(o) = 2*o - 15. Let k be p(u). Solve 1 - 4 = k*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2476 and 6153479?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170486281 is divided by 85243137.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6 = 2*j, 2*z + 12 = 7*z - 4*j. Let v = -4.8 + 4.4. What is the closest to z in v, 2\/15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/9)*d)**(-2\/5)\/((d\/d**7*d)\/(d\/(d**0*d))))**(-4\/39) assuming d is positive.\nAnswer: d**(-812\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 6:00 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -542871 (base 9) to base 5.\nAnswer: -40324114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -89921.139 rounded to the nearest 100?\nAnswer: -89900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 6*k - 0*k. Suppose 3*v - 30 - 54 = k. Let a(r) = r**3 - 29*r**2 + 39*r - 38. List the prime factors of a(v).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 55 = j, 2*j = 169527*m - 169518*m + 109 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3271502 + 1.3274. Round g to 6 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -3 + (-12 - -40 - 37) + -69.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32720 and 8.59?\nAnswer: 32711.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/115 or -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 6:23 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/(2756\/39))\/((-102)\/(-16))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*v - 5*v - 3*v**3 + v**5 - v**2 + 20*v**4 - 19*v**4 = 0. What is v?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2 + 14. Let z(r) = r**2 + 2. Let j(t) = 3*d(t) - 21*z(t). Let n(m) = 4*m**2 - 7. Give n(j(g)).\nAnswer: 36*g**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.58 - 0.18. Put a, 3, 1\/3 in ascending order.\nAnswer: 1\/3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*z - 28*z - 239468 = 18*z. What is z rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1278*j + 1574*j - 2092*j - 2334*j to the form w*j + d and give w.\nAnswer: -4130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 4*t - 6*t. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 500157 by -7.\nAnswer: -71451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*o + 363 = 213, 4*n + o - 144 = 5*o for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 21 = p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46587\/20 - -2328. Let v be (-1761)\/(-7) - 12\/(-28). Find the common denominator of l and -4 + 1 + v\/(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.08\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98931.81 microseconds to seconds.\nAnswer: 0.09893181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q - k, -4*q + k + 7 = -3. Suppose 0*c + 5*c = -q*o - 10, 4*c = -o - 8. Suppose 3*w + 2*z = -0*z + 178, o = z - 2. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times 0.804?\nAnswer: -1.4472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -1\/4 (b) -2.9 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21281 + -19360. List the prime factors of g.\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 3*q. Let w = 6 - 7. Let t = -4 - w. Determine r(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-4 + 2 + 1)*(1 - 3 + 0)*(2*r - 4*r + 0*r) in the form s + q*r and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-1)\/4)\/(2\/12472) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310048*u**2 + 310110*u**2 + 35*u**3 - 22*u**3.\nAnswer: 13*u**3 + 62*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16 = 4*t, 3*w + w - 5*t = 21. Solve 5*s = -q - 13, w*s + 16 = 2*q - 0*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1515*p + 2. Let n(o) = o. Give n(z(m)).\nAnswer: -1515*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m - 3128*m**2 + 1568*m**2 + 1558*m**2 + 8*m.\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 579 - 289. What are the prime factors of u?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + 25*b**2 + 12*b + 10. Let o be n(-12). Let l(z) = 2*z**2 - 9*z - 31. What is the lowest common multiple of l(o) and 5?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 230 or 229?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(16\/5)*w*w\/w**32*w*w**(-40)*w**18 assuming w is positive.\nAnswer: w**(-239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000003301 (base 5) in base 2?\nAnswer: -1110111001110010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -276*((-1)\/4)\/(8\/24). Suppose b = -10*n + n. Let a = -12 - n. Solve a*x - 6*x + 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from ihiiiiiiiihiiiiiiii.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from pppplppplp?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2898?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 22*x**2 - 2*x + 58. What is the least common multiple of 1 and i(22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u + 17. Let j(g) = 10*g + 15. Give 6*j(a) - 5*m(a).\nAnswer: 5*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 3352\/443?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.092 and 74?\nAnswer: 6.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9723\/64480 - 244\/403. Find the common denominator of k and 97\/640.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63514 (base 14) to base 13\nAnswer: -85166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 213649182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497985 divided by -299597?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*l - 30 = 0. Let r be (l*2\/4)\/(-1). Suppose -r*f - 4*h = -80 - 80, -3*f + 96 = -4*h. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j**3 - 9*j. Let y(h) = 8*h**3 - 5*h. Determine -5*t(d) + 9*y(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8.22 (b) 6\/25 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71321.\nAnswer: 73, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from fhghufuuguuuuuf.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 17. Let k be v(-7). Let x(i) = -7*i - 3. Calculate the smallest common multiple of 16 and x(k).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.02 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 494711555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/2 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 229291.441 to the nearest one thousand.\nAnswer: 229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 less than 15?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, i: 2, l: 1, w: 1, f: 1}. Give prob of picking 1 i and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 5. What is t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gchcnhnggddngghggjd. Give prob of picking 1 d and 2 h.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0 - 3*k + 1\/48*k**5 - 7\/96*k**4 + 1\/120*k**6 - k**2 - 1\/12*k**3. Let c(l) be the first derivative of j(l). Factor c(f).\nAnswer: (f - 1)*(f + 2)*(4*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428414.31 rounded to the nearest one thousand?\nAnswer: 428000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395575.\nAnswer: 5, 55823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + n**2)*(-n - 2*n**2 + n) + (-4165*n - 333*n**2 + 4165*n)*(3*n**2 + n**2 - 2*n**2).\nAnswer: -668*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:39 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4 = -3*g - 3*q, 2*g + 2*q = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n - 92. Give k(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 9*j - 2. Let s(m) = -m**2 + 5*m + 1. Calculate 3*d(v) + 5*s(v).\nAnswer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1130 + -1134. Let b(z) = 15*z**2 + 4*z - 4. Let d(f) = -30*f**2 - 9*f + 9. Calculate r*d(y) - 9*b(y).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1995 and 19571903?\nAnswer: 19569908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 6\/(-9) + (-112)\/(-42). Solve 0 = 8*f - w - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*d**3\/4 - 759*d**2\/2 + 2649*d\/4 - 315 = 0. Calculate d.\nAnswer: 1, 420\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2211730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 11*n**2 + 1\/3*n**4 + 0*n + 0 + 0*n**3. Let d be u(3). What is the greatest common factor of d and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21934 - 21776.03. Let z = -158.816 + -0.184. Let w = z + n. What is w rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 306844447 divided by 377?\nAnswer: 813911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2690 (c) -0.025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2406 - -2429. Is -82 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12709 - -21875. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*l - 4. Let f = -0.15 - -0.05. Let r = f - -0.6. What is the third biggest value in r, l, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1439*q**3 - 16*q + 16. What are the prime factors of b(1)?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5865019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 4. Let a be 0\/(2*-2) - 1. Let r = a - o. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 256, 267, 282?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**7*x*x**(-8\/9) assuming x is positive.\nAnswer: x**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 1. Let w = j + 0.4. What is the second biggest value in w, -2\/5, -1\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75.4 + 75. Let j = -170 - -167.9. Which is the nearest to -0.1? (a) v (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -398376692 and 2.1.\nAnswer: -398376689.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.11 + 0.11. What is the second smallest value in q, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*l**2 + 11*l**3 + 2*l + l**2 - 33*l**3 + 17*l**3 - 5*l**4 as p*l**2 + q*l**3 + f*l + y*l**4 + x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 454 in 8, -2\/89, 2, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 50\/11 (b) 11\/9 (c) 0.4 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.98, -0.3, -0.2, 1\/6, 0.6 in decreasing order.\nAnswer: 0.6, 1\/6, -0.2, -0.3, -1.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**4 + 2*y**2 + 2*y**3 + y - y + y - 16*y**4 to p*y**3 + b + o*y + f*y**2 + d*y**4 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c - 99. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 17*b**3 + 9*b**3 + 7*b**2 - 3*b**2 as z*b**2 + h*b + l + k*b**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 33*t - 44*t + (1 - 4 + 4)*(-2*t + 1 - 1).\nAnswer: -76*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 87*x**2 + 135*x - 3206. What is b(-85)?\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**(-2\/73)\/((v**4*v)\/(v\/v**0*v)) assuming v is positive.\nAnswer: v**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2040 and 27030?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:01 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-1))\/(((-80)\/(-6))\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 604297*k + 604447*k - 1.\nAnswer: 150*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) + 3*sqrt(110))*-2 + sqrt(110) + sqrt(110))\/((sqrt(100)*3 - sqrt(100))\/sqrt(10)) - -6*(sqrt(1100) + -5*-2*sqrt(1100) + -5).\nAnswer: -30 + 1315*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + -96. Solve -3*h = -3*z + 30, -h = 4*h - t*z + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5889647 and -5889646 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 11:20 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -6*a + 80. What is the remainder when 21 + 1 + -4 + 3 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -40. Suppose 0 = -3*a - 5 + g. What is j in 1\/2*j**3 - 1\/2*j + 1\/2*j**2 + 0 - 1\/2*j**a = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 9*c**2 - 4. Let k be v(-9). Sort -2, k, 2 in decreasing order.\nAnswer: 2, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u - 139*u = 4*t - 73*u - 9, -9*t - 83*u = 65 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 9*y + 1. Let w be (1 - 3\/6)*-4. Let z be (-2)\/(6\/(-3)) - w. Let f(x) = -x**2. Let d be f(z). What is t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**2\/2 - 7*a - 8. Let x be d(11). Let j = 1 + 1. Solve m + 5 = c - x*m, -2*m - 14 = j*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**7\/63 - n**6\/15 - n**5\/30 + 7*n**4\/18 - 4*n**2\/3 - 5*n. Find w, given that s(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 + 4*p + 15. Let z(b) = 3*b**2 + 3*b + 14. Let n(i) = -3*x(i) + 4*z(i). Let d be n(8). Let s = d + -118. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.16092 (b) 3\/40 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 10107*d + 40476.\nAnswer: -3*(d - 3373)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a - s + 826205, a - s = 275395. What is a rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 157.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15045 and 399219?\nAnswer: 2002083285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342856863.\nAnswer: 3, 3067, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124224090 rounded to the nearest 100000?\nAnswer: 2124200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252030 + 1003513?\nAnswer: 311443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24096, 53621, 83146, 112671, 142196, 171721?\n\"Answer: 29525*m - 5429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12809*p**5 + 9129*p**5 + 6879*p**5 + (5*p**3 - p**3 - 3*p**3)*(4*p + p**2 - 4*p).\nAnswer: 3200*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -57. Find the first derivative of -g - d + 1 - 19 wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5616.249 millimeters?\nAnswer: 5616249000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**3 - 5*o**2 - 108*o + 2855?\nAnswer: -3*o**2 - 10*o - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2201 and 9083.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*h**2*z**3 + 44*h**2*z**2 - 17*h**2*z + 73*h**2 - 105*h*z**3 - 7*z**3 - z**2 wrt z.\nAnswer: 678*h**2 - 630*h - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 237*j - 235*j + 6, -5*g = 4*j - 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0, 10, 1747 in decreasing order.\nAnswer: 1747, 10, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9) - (-3 - (-7)\/3). Which is greater: r or -3\/62?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68829 = 7947*j - 22707 + 234862 + 420911 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -30*5\/(50\/(-4)). Suppose -x + o - 3 = 0. Solve 4*a = j + 7 + x, 15 = -3*j + a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.77 + 37389.1045.\nAnswer: 37371.3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 181, -97, 2\/61, -5?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 10. Let s be z(-13). Sort s, -11, 0, -2 in descending order.\nAnswer: s, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/7 + 4*u**2\/7 + 128*u\/7 - 768\/7 = 0 for u.\nAnswer: -12, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1)**(-1\/43)*(d*(d*d**(-2\/5))\/d)**30)\/((d\/(d\/d**(-2\/5)))**(-6\/5)\/((d\/(d*d**5))\/d**0)) assuming d is positive.\nAnswer: d**(13434\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + 622?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 + (-649)\/66)\/((-2)\/4). Let x = -571 + 571. Which is the nearest to -0.1? (a) x (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.2. Let o = -0.2 - -0.7. Let h = o + -0.9. What is the third smallest value in -4, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -11. Let h(i) be the first derivative of -3 + 2*i**2 + 4*i + 1\/4*i**4 - 5\/3*i**3. What is h(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*h + 5 = 0, 2*i - 4*h = i - 2. Suppose 5*c - i*c = 1728. Suppose 4*b - 8*b + c = 0. What is the highest common factor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 17013039*x - 17013042.\nAnswer: 3*(x - 5671014)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4*x - 4*x)*((8 + 1 - 5)*(-1 - 5 + 3) + 1 + 3 - 2).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/300 + 16\/200.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 2*f)*(127 + 15*f**3 + 130 - 254).\nAnswer: -30*f**4 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.8? (a) -3 (b) -0.07 (c) 1455 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 3*n**2 - 41*n + 126. Let q be v(3). Let s be 3*(-2)\/(2 - 4). Let w be (-11 + s)\/((-18)\/8). Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1377 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -448.76 and 15089654.9.\nAnswer: 15089206.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 >= -3729396.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140, -531, -1178, -2081?\nAnswer: -3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*r + 2*w + 409, 5*w - 65 = r. Is r\/6*(-1 + (-7)\/2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -14 - 6*l**2 + 4 + 18*l + 7*l**2. Calculate the lowest common multiple of 21 and q(-19).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*-29*24\/2088.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 45 and 0.4563.\nAnswer: 45.4563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/5)*(u\/(u\/(u\/(u*(u*u**(-3\/5)\/u)\/u))))\/u)\/(u**(1\/2)\/(u\/(u**(2\/5)\/u))) assuming u is positive.\nAnswer: u**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 318095544 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 9915?\nAnswer: -9916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*z**2 - 955*z**3 - 138*z**2 + 3024*z**3 - 142*z**2 - 147*z**2.\nAnswer: 2069*z**3 - 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/16 + 18\/8. Let m be (-37 + 1\/(-1))\/s. Let k = m - -42. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(68\/8 + -3 + 4). Let a = -16 + y. Calculate the highest common factor of 2 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.345357l to millilitres.\nAnswer: 2345.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 48*r**2 - 1. Let l = -8 + 6. Is a(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 1315*w + 492161. Determine z(304).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**14*m)\/m**(-1))\/(((m\/(m\/(m*m**(3\/5)\/m*m))*m)\/m)\/m**(3\/14)))**(-23) assuming m is positive.\nAnswer: m**(-23529\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**4\/2 + 14811*a**3\/2 + 6*a**2 - 88858*a - 118488 = 0?\nAnswer: -2, 4, 14811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 20*i - 69.\nAnswer: (i - 23)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2070000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -63. What is the closest to -1 in -1, 1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 61 = -9. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g + 5*v + 1, -4*g = 4*v - 28. Let k(x) = -x**2 + 13*x - 4 + g*x**2 - 7*x**2. Let j be k(-4). Let h(m) = m**3 - 8*m**2. What is h(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-2))\/(1\/(-1)). Suppose 12 = 4*l - 4*z, 2*l + 0 - 8 = 3*z. Let s be (1\/5)\/(8\/5). What is the closest to a in -1, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 764 = 57*m - 12*m - 4*d, 5*d = 5 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -990 + 11881\/12. Sort -4, b, -0.3 in descending order.\nAnswer: b, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v - 6. Which is bigger: 3\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfgfufxduxvu. What is prob of sequence dd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0166*2.\nAnswer: 0.0332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-90)*68 - 4. Which is the third smallest value? (a) y (b) -3 (c) 0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 2)*2 + -5)**2 - ((sqrt(300)\/sqrt(150))**2 + 2).\nAnswer: -24*sqrt(2) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.2? (a) 0.4 (b) -2\/11 (c) 0.034 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1233 - -2?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701229 is divided by 323?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 253460916.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**5\/30 - 7*f**4\/6 - 2*f**3\/3 - 34*f**2. Let u be p(14). Let s(k) = 6*k + 1. What is s(u)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*5*(sqrt(2299) + -1*sqrt(2299) + -5) + 3)*4.\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*k - 7*k - 657 + 659)*(15 - 7 + 3*k**2 - 9 + k).\nAnswer: -78*k**3 - 20*k**2 + 28*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c. Let w(m) = m**3 - 3*m**2 - 9*m. Let u be w(5). Let i(z) = u*z**2 - 14*z**2 + 2*z**2. Give d(i(n)).\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i. Let k be c(-2). Suppose 34 = k*t - 2. Suppose 4*s + 3*x - 59 = 2*x, s + t = -5*x. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 796481 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 852975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.82 - -15.18. What is the nearest to r in 2\/11, 3, -3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-13)*(-247)\/(-57). Sort -4\/5, -17, -1\/9, n in descending order.\nAnswer: n, -1\/9, -4\/5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 12*k**2 + 23*k - 3. Let l be f(10). Let s = -3 + l. Let b be (s\/10)\/((-15)\/75). Is -7 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0.01931911?\nAnswer: 3.01931911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*g = -7, -2*h - h = 4*g + 1. Suppose -5*z + 4*v = -0 + h, 2*v + 7 = 5*z. Sort z, -5, 4 in ascending order.\nAnswer: -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-54 + 110*o**2 + 54).\nAnswer: 110*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -63\/2*o**3 + 5\/8*o**4 + 345\/8*o**2 + 0 - 49\/4*o = 0.\nAnswer: 0, 2\/5, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = t. Determine a so that -65*a**3 + 8*a + 21*a**2 + 135*a**t + 0*a + 27*a**2 = 0.\nAnswer: -2\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116.1379 + -116.2. Is b < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*c**2\/9 + 64*c\/9 + 8\/3.\nAnswer: -2*(c - 2)*(19*c + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5 - 4*v - 2*v**2 + 4*v**2 + 0*v**2. Let o(a) be the third derivative of 1\/60*a**5 + 0*a - 10*a**2 - 1\/2*a**3 - 1 - 1\/12*a**4. Give -5*o(b) + 3*r(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823222?\nAnswer: 2, 411611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 61. Suppose n*w + 272 = 2*g + 4*w, -4*w + 266 = 2*g. Find the third derivative of -25*b**2 - g*b**3 - 8*b**4 + 135*b**3 wrt b.\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*q**2 - 124*q**2 - 125*q**2 + 376*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -644*p**2 - 2*p**3 - 19 + 2*p + 2*p**4 + 649*p**2 + 6 to x*p**4 + t*p**2 + v + n*p + b*p**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - r + 3 = 0, -8 - 27 = -5*f - 5*r. Let v(l) = -l - 5 + l**f + 8 + 6*l. Calculate v(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 311, 442, 625, 860?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157 - -159. Suppose -2*x - 180 = 3*n + f*x, n + 67 = x. Sort -1, 2, n.\nAnswer: n, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121\/16 + -131495\/17392. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a decade in months?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30259?\nAnswer: 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h. Let b(v) = -54*v**2. Give d(b(j)).\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14622 and 79878?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1189 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418569*x + 209309*x + 209269*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c7 (base 15) to base 7.\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.2, -127 in decreasing order.\nAnswer: 0.2, -1\/4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 + 11*k - 11*k)*(-459 + 232*k - 464 + 923) to the form z*k**2 + l*k**3 + c + u*k and give l.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 6*w**2 - 3*w + 3. Let f be o(-7). Let t = 68 - f. Let j be t*3\/(-15)*15. Solve -3*s = -9, -4*m - 6*s + j = -s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 19 = -1. Let a(p) = -p**2. Let s be a(h). Let d = -26 - s. Solve -3*k + d = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 2. Let c be u(2). Let y be (-1)\/(0 - 1\/3). Let r = c + y. Solve 0*h = h - r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3210 + -2?\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -13032\/5 at most as big as -2606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 176*y - 181*y + 112, -112 = 32*w - 2*y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 6. Let y be s(-8). What is the remainder when (-62)\/4*(-4 - y) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7751?\nAnswer: 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20211 (base 5) in base 8?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - g + g + 8. Let r be a(-6). Let s(x) = 9*x - 3. Let i be s(2). Solve -7*d = -r*d + i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -2892?\nAnswer: -2895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/6)\/((-2)\/12) - -83?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/4706 and 81\/37648.\nAnswer: 37648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5\/7 + 684582*n**4\/7 - 1369140*n**3\/7 - 5476624*n**2\/7 = 0.\nAnswer: -2, 0, 4, 342289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjqw when four letters picked without replacement from {q: 3, t: 1, k: 3, w: 1, l: 6, j: 4}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1355 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52761, 105518, 158303, 211122, 263981?\nAnswer: 316886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 21*n**3 + n**2 - n. Let a be 15*-2*(-66)\/20. Let s = -98 + a. Determine z(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10280 rounded to the nearest one hundred?\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*((3 + 2 - 2)*(-5*n + 4*n + 3*n) + (n - 3*n - n)*(-3 + 0 + 0)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - 0 - (-6200 + 6219)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48152 divided by -104?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(22) - (sqrt(1408) + sqrt(1408)*-1))\/(sqrt(275)*2 - sqrt(275) - sqrt(11)))**2*1*-6.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 20, t - 1100 + 273 = 3*i. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/8590 and -35\/842679.\nAnswer: 8426790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17870399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {n: 9, e: 2, s: 8, b: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -12, -2 in increasing order.\nAnswer: -12, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgggdgsagrarygaasagr. What is prob of sequence say?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1269, -1310, -1353, -1398?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 + 25.5. Let l = t - 23.999839. What is l rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:32 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/10)*x**(-3\/7))\/(x\/(x*x**(7\/3)\/x)*x**(1\/4)) assuming x is positive.\nAnswer: x**(149\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -45854 divided by -344\nAnswer: 22927\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7602 and 630?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + m**2 + 2*m**2 - 3*m + 3*m + (3 - 1 - 1)*(-2 + 2 - m**2) + (5 + 0 - 4)*(33*m - 33*m + 16*m**2).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(8)\/sqrt(4)) + 2*(sqrt(19) + 0) - (sqrt(2736) + 0 + 4))**2.\nAnswer: 72*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**6\/120 + j**5\/30 + 7*j**4\/24 + 13*j**3\/6 - 38*j**2. Let q be v(8). Let y = 476 + q. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let x(r) = 5*r**2 - 10*r + 2. Let n(v) = -4*l(v) - x(v). Let q = 8 + 0. What are the prime factors of n(q)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 8:46 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 1 - 844955*m**3 + 844955*m**3 - m**4 + m to the form v*m**3 + d*m + x*m**4 + a*m**2 + g and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -1\/60*b**5 + 0*b**4 + 13\/6*b**3 - 10*b**2 + 0 + 0*b. Let v be w(0). What is the greatest common factor of v and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 10*l**2 - 6*l + 13. Let j be m(4). Suppose -2*i + 3*i + j = 5*q, q - 23 = -i. Calculate the remainder when 105 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 207*r + 244*r + 0 as n + o*r and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44567)\/656 + 37 - -31?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -19.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*v + 1415 + 1660 = 17*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:25 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 3 (b) -596 (c) 1454\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 at most as big as 1529958\/2791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (12 + -8) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from ppkrvpqrpq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5619 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 618aafb - -1?\nAnswer: 618aafc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/4)\/(-3))\/((-5)\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*o - 64*o + 58*o)*(o + o - o).\nAnswer: -52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -9 (c) -4 (d) 0.5 (e) 300\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -4, 2, -3, 5, -15, -100 in decreasing order.\nAnswer: 5, 2, -3, -4, -15, -26, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 v, and 1 n when four letters picked without replacement from {m: 3, v: 4, n: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/21*(-833)\/(-1071)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 217\/21 + (4\/(-3))\/(-2). What is p in -20*p + 20*p**2 + 17*p**3 - c*p**3 - 11*p**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 smaller than 18345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -518, 0, 267, 1, 70 in ascending order.\nAnswer: -518, 0, 1, 70, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -75950.9 and -543.\nAnswer: -76493.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 148 = -110. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 less than -51.8341?\nAnswer: 111.1659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 51.8 (c) -236 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((-68 - 9) + (-17 - -35))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*w**4 + 3 + w - 1 + 11*w**2 + 4 - 4 - 171*w**4 in the form c*w**3 + p*w + f*w**4 + b + g*w**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 9, -3, 77, -43, 1.\nAnswer: -43, -3, 0, 1, 3, 9, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 31, 47, 63, 79, 95?\n\"Answer: 16*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.46 + -2.86. Which is the nearest to m? (a) 1 (b) 3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1752025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 53*h - 319. Give v(-45).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(44)\/(sqrt(36)*-5) - ((-6*sqrt(121)*-1)\/sqrt(11))**2).\nAnswer: 2*sqrt(11)\/15 + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a factor of 6505210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:52 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, -1\/10, 0.021, -12, 4 in descending order.\nAnswer: 4, 0.5, 0.021, -1\/10, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/4617065 and -64\/35.\nAnswer: 32319455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 1732 in ascending order.\nAnswer: 4, 11, 1732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**3 - 5*a**2 - 4*a - 8. Let o(p) = 6*p**3 + 9*p**2 + 7*p + 14. Give 3*o(t) + 5*y(t).\nAnswer: 3*t**3 + 2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14631729 divided by -4.\nAnswer: 14631729\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202332, -201566, -200800, -200034?\nAnswer: -199268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400329 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 24) + 7 - (1 - 7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195834446 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 6*t**2 + 14*t + 6. Calculate s(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2669ce (base 16) to base 15.\nAnswer: 34ada4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + p**3 - 6*p**2.\nAnswer: p**2*(p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*f - 2*t + 8, -4*f = -3*t + 2. Suppose 0*p + 8*p - 72 = 0. What is the greatest common factor of f and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 206262350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12078, -24136, -36186, -48228, -60262?\n\"Answer: 4*n**2 - 12070*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by -4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8290*d + 2950 = -8173*d - 3368 for d.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 28*r**2 - 7*r + 7. Let l(s) be the third derivative of -3*s**5\/20 + s**4\/12 - s**3\/3 - 2*s**2 + 3. Determine -2*f(j) - 7*l(j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62543 is divided by 324?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1. Let i(z) = -z + 12. Let g be 36\/15 + 6\/(-15). Let m(v) = -v**3 + 3*v**2 - 6*v + 18. Let c be m(4). Determine c*j(k) + g*i(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 3:36 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (3 + sqrt(891))) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905 a factor of 286142500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p - 35*p = 2*h - 5, 0 = -2*h + 3*p - 7. Which is the fourth smallest value? (a) -2 (b) 1\/2 (c) -2\/5 (d) 16 (e) h\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 7*a + 14. What is the smallest common multiple of 40 and w(-4)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let l(u) be the first derivative of -4*u**2 + 3. Let r(o) = -o**3 - 5*o**2 + 2*o - 26. Let i be r(-6). Determine i*l(j) - 10*h(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.17, -1\/5, -5, 0.6, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-280*f + 1301*f + 231*f + 1563*f)*(2 + 2*f - 2).\nAnswer: 5630*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 30 - 17 = 0. What is the second derivative of g**5 - h*g**5 + 108*g - 98*g wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*4\/6 + -2*1. What is the second derivative of 9*p + 8*p - 13*p**4 + d*p**4 wrt p?\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let c = -8 + 57. Suppose 5*g = 31 + c. Let b(o) = -33*o + g*o - 5*o**2 + 17*o. What is b(m(j))?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -18*l + 1. Let m = -1 + 0. Let k be x(m). Solve -4*y = -4*q - 4, k = -4*y + 3*y - 4*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3600)\/260*13\/3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Suppose -x = 2*c + 4*w, -2*w = -3*c + w + 21. Differentiate -2*y + 2*y + 2*y**c - 1 with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 13604073182895.\nAnswer: 13604073182923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, -1\/5, 5, -5, -21\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.5 and -47157.\nAnswer: 165049.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845\/71 > 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74\/209 or 1?\nAnswer: 74\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/30)\/((-112)\/168)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2160273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3788004 hours?\nAnswer: 1363681440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 5, -1.58, 0.4?\nAnswer: -1.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 + 9*a**3 + 16*a**3 + 129 - 129 + 16*a**3 - 18*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578 = -37*f + 310. Solve 5*u = -25, 80*x + 4*u + f = 78*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + ((-58)\/(-3))\/((-2)\/(-3)). Let o = -31 + h. Put o, 5, -5 in ascending order.\nAnswer: -5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/36)\/(1372\/17640)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 1. Let a(r) = 4*r - 4. Let v = 1 + -7. Calculate v*d(h) + a(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/6*(-507)\/(-4732).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5026253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-198))\/((-154)\/924)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234164 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656284, 656287, 656290, 656293, 656296?\nAnswer: 656299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a11ab (base 14) to base 9.\nAnswer: 650178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.330257 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 40*f - 89. What is g(30)?\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**2 - 670*h - 11991. Give s(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Let s(p) = -106898*p. Calculate s(i(u)).\nAnswer: 106898*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/2)\/((-51)\/5). Let p(m) = -m**2 - 52*m - 666. Let h be p(-23). Is a smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-1)*u*u*u**(5\/4))**15)**16)**(3\/5) assuming u is positive.\nAnswer: u**900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*37.9.\nAnswer: -15.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2712.8675 times 0.02?\nAnswer: 54.25735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1331) + sqrt(1331)*-2 + 3) + -5 - (-4 + (sqrt(77) - sqrt(77)*-2)\/sqrt(7) - -4*(sqrt(33)\/sqrt(3)*3)**2).\nAnswer: -379 - 69*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6.3 = -370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o + 0*o)*(-5 - 3 + 2*o + 12)*(-3*o - 2*o + 3*o) + (-2*o**2 + 6*o**2 - o**2)*(-4*o - o + 4*o).\nAnswer: -11*o**3 - 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/36)\/(-2 + (-10)\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000538193 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 12:45 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167277 = 78*f + 131*f - 950873. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5201 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 0*b + 28*r - 29*r - 7 = -4*b, 0 = b - r - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358, 696, 1034, 1372?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/12, 0.5, 2.2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 32. Let x(z) = 2*z - 9. Let j be x(t). Solve 4*n + 0*n + 16 = 0, d = j*n + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 22, 19, 16, 13, 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**8)\/g**(1\/15))\/(g**15\/g**(3\/11)) assuming g is positive.\nAnswer: g**(-956\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:51 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1\/5 (c) 0.1 (d) 633 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 20*r - 13. Let l(p) = -p**2 - 7*p + 4. What is -7*l(w) - 2*z(w)?\nAnswer: w**2 + 9*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = 133 - 55 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-255)*27 + 3 + -5 + 8\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154\/3 - -52. Let l(p) be the second derivative of 0 - 1\/4*p**4 - 1\/30*p**5 + 0*p**3 + 3*p + k*p**2 + 1\/30*p**6. Suppose l(s) = 0. What is s?\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -22*l - 3. Let p(k) = 969*k + 133. Let y(r) = 133*b(r) + 3*p(r). Let w(m) = 3*m**2. Calculate y(w(o)).\nAnswer: -57*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 2265?\nAnswer: -2269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 25*s - 5. Let v(q) = 37*q - 7. Let t(i) = 7*k(i) - 5*v(i). Let f(a) = 2*a. Determine f(t(m)).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813578*b = -813582*b - 4*v - 64, -3*b + v = 40 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2879, -75, 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2234 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/r)\/r**1*(r\/r**(-2\/15))**(-4\/9) assuming r is positive.\nAnswer: r**(-811\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(27) + -4 + sqrt(3) + 0)**2 + ((sqrt(108) + -6*(sqrt(108) - (sqrt(108) - (1*sqrt(108) + sqrt(108)))))*3)**2.\nAnswer: -40*sqrt(3) + 117685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 24*n**2 - n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 + 13?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191.9 - -192. What is the nearest to h in 3, -0.05, 3\/5, 9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 58\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 10:53 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 3, o: 1}. What is prob of sequence af?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k. Let d(i) = i. Suppose 2*v = 5*u + 22, 16 = -5*u - 0*v - 4*v. Let p(s) = u*j(s) - 22*d(s). Let r(a) = 0*a**2 - a + a - a**2. Determine p(r(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36294212 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w + 171. Let p be t(0). Let k(z) = -z**3 + 10*z**2 - 9*z + 1. Let q be k(8). What is the greatest common divisor of p and q?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 96, -94, -6, -2 in decreasing order.\nAnswer: 96, 5, 2, -2, -6, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(176) + 0 + sqrt(176))*1)**2 - sqrt(176)) + sqrt(176) + -2 - (2 + ((sqrt(99) - (-1 + sqrt(99) + 0)) + 1 + -2*sqrt(99))**2).\nAnswer: 24*sqrt(11) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i + 5*d + 26, d = -5*i + 18. Solve -k - 7 = 4*q, 26*q = 22*q + i*k - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000873689 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -8536 to the nearest 100.\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*u + 3 = -81*u. Calculate the remainder when 1 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 24*h**2 - h - 2. Let a(c) = c**2 + 17*c + 35. Let i be a(-15). Suppose -15 = -5*f - i. What is the tens digit of k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0238 and -4.79.\nAnswer: 0.114002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -2*r**3\/21 + r**2\/7 + 9. Let n(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00096684185 rounded to six dps?\nAnswer: 0.000967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h = -5*z + 20, 0 = -z. Suppose -9*t + h*t + 68 = 0. Suppose 18*m = t*m + 74. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 29.98203 hours?\nAnswer: 1.24925125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b**2 + b + 12. Let j(g) be the third derivative of g**5\/20 + 2*g**3\/3 - 66*g**2. Let f(w) = 4*h(w) - 11*j(w). Determine f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30937?\nAnswer: 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 * 1458.8\nAnswer: 67.1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/15)*g*g\/g**(-1)*g)\/((((g\/(g**3\/g))\/g)\/g)\/g)**(3\/2))**(1\/6))**(-43) assuming g is positive.\nAnswer: g**(-7009\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**3 - 6. Let x(j) = 7*j**3 - 7. Suppose -n + 3 = 5*p + 1, -26 = -3*n + 5*p. Calculate n*v(c) - 6*x(c).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3574737.\nAnswer: 3, 73, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1277?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/10)\/(-5 + 198\/45). Suppose -3*o + 4*b = -11, 5*b = -o + 2*o. Is o less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/3)\/(3\/117). What is the highest common factor of x and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 897909765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 3 - 39 - 42 to c + o*n**2 + h*n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 719.6911ng?\nAnswer: 0.0007196911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1684050 by -75.\nAnswer: 22454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*b + b. Suppose 3*w - b*w = -3. Suppose 6*h = y + w*h - 3, 3*y - 39 = 3*h. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 25*t - 10 = 0. Let b(u) = -47*u + 37*u + t*u**2 - 6*u**2 + 2*u**2. Let m(a) = a**2 + 3*a. What is 6*b(p) + 20*m(p)?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o - 15. Let k(t) = 7*t - 7. Let c(x) = -7*k(x) + 4*y(x). Let m be c(6). Solve -6*g + m*g = -4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9944, 9947, 9950, 9953?\nAnswer: 9956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1 - (-7 - (11 - 19))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from zffzafzzzefzzezfee.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183 - (3 + 6 + -7)?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 348979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4, 2\/7, -5, -582.9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:52 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 18 = -2*w, 5*w = -12*h + 14*h - 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -6. Let c(x) = x**3 - x**2 - 6*x + 5. Let u be c(3). Let b be (-72)\/20 - (-3)\/u. Sort 14, b, m.\nAnswer: b, m, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 7*r**5 + 96*r**4 + 191*r**3 - 274*r**2 - 876*r - 440 = 0.\nAnswer: -11, -2, -5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 1. Let y be -2 - 8 - -4*(8\/(-4) - -3). Let t(g) = 4*g**3 - 6*g + 7. Give y*r(k) + t(k).\nAnswer: 4*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-4) + -4)\/(3\/(-6)). Suppose z*t - 40 = 35. Let h be (3\/(-30)*6)\/((-1)\/t). Solve 6 = 3*j + h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22672847, -22672864, -22672881?\n\"Answer: -17*k - 22672830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -176509625 bigger than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 73*l**2 - 32*l + 21. Is w(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 divided by 702?\nAnswer: -98\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 2, b: 1, a: 2}. Give prob of picking 1 d and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58132?\nAnswer: 2, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2118\/5 + 424. Let d(h) = 2*h - 2. Let n be d(2). Suppose -3*s = 3*t - 13 - 14, -4*t + 6 = -n*s. What is the closest to y in 0, -5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b - 3441?\nAnswer: -34ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*b - 4*m + 6*m, -3*m + 3 = 5*b. Suppose b*u - 10 = u. Solve 1 + 24 = u*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*o + 20 = 0, 5*t - 6 - 10 = -4*o. Suppose -6*d + 2*d = -3*u + 24, -4*u - t*d + 4 = 0. Which is the nearest to 0? (a) 3 (b) -2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168720 and 1185258.\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, t: 1, m: 4}. Give prob of picking 2 m and 2 l.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/(3 + 4 + -2 - 2). What is the highest common divisor of k and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + i + 6. Let g be b(-5). Let n be -3 - (2\/(-3)*3)\/(16\/48). Suppose -4*o - 5*z = -231 - g, n*z = -5*o + 387. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoighgtu. What is prob of sequence uh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-2184))\/(-29*(-4)\/(-52))?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 466375 and 79499.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56523 is divided by 18828?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + l**2 + l**3 + (1 - 2*l - 1)*(0 - l**2 + 0) + l**3 + 2*l**3 + 0*l**3 - l**3 + 0*l**3 + 4*l**3 + (-1 + 2*l**2 + 1)*(0 - 2*l + 0).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 17.8. Let a = 3.7 - f. Let k = -8 - -8.3. Sort a, -5, k in ascending order.\nAnswer: -5, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:07 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-76 - (-73 + -134)).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-335*g + 215*g + 114*g - 22*g**2) in the form a*g + p*g**2 + v and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/781 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((12 - 29) + 12 + -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnznnnnnnnznnnnnnnn. What is prob of picking 2 n?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 + -10. Suppose 3*p = 151 - k. Solve 0 = 43*w - 41*w + p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 + 4*p**2\/3 - 79*p\/6 + 35\/3.\nAnswer: (p - 5)*(p - 1)*(p + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + x + 87 = 0, -5*x - 9 - 12 = -2*k. Suppose 0 = -5*h - 95 - 160. What is the smallest common multiple of h\/(-9) + 2\/6 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/6)\/(91\/(-546))*(-74)\/(-14).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3*(-6)\/45.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*t - 130*t + 80 = 0. Calculate the remainder when 55 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 2. Let l = k - 3. Suppose 2*f - 3*s - 37 = l, -3*s = 5*f + 2*s - 130. Solve -3*b = a + a - 11, f = 5*a + 3*b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2302 + 774 + 744 + 784 + 176*h.\nAnswer: 176*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 16*y - 2*p - 424 = 0, 4*y - 843 = 3*p. Suppose -4*d - 4*c = -216, -4*c - 46 = -d - 7*c. What is the remainder when y is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*q + 455*q + 5 = -o, 5*o + 20 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 1632.\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-684)\/(-190)*(6*30\/48)\/3?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 3907 - 580. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1872392 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102\/270 + 6\/(-10). Is 1 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*q**3 + (0*q**2 - q**2 + 0*q**2)*(-q + q - q) + q**3 + 0*q**3 - 3*q**3 + (5*q - 2*q - 2*q)*(73 - 7*q**2 - 73) - q**3 + 0*q**3 - 5*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 - 9. Let n be j(0). Let a(r) = r**3 + 10*r**2 - 4*r + 28. Is a(n) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*j**2 - 18 + 76 + j**4 - 13 wrt j.\nAnswer: 4*j**3 + 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*204\/60)\/((-20)\/10).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25967012, -25967005, -25966994, -25966979, -25966960, -25966937?\nAnswer: -25966910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 244136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -102 (b) 1 (c) 3834 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, h: 5}. Give prob of picking 2 i and 2 h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 71*a**2 - 216*a + 459. What is g(-74)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16307 - -16324. Solve -s*y = -58*y - 164 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/280 + 557*u**5\/70 - 2231*u**4\/56 + 558*u**3\/7 - 8686*u**2. Factor i(w).\nAnswer: 3*(w - 1)**2*(w + 1116)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -618.885 - -617. Round r to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + 1011010111000110?\nAnswer: 1011010110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-27)*(-5 - (-56)\/16). Solve 2*f + 3*w - 25 = 4*f, y*f - 4*w = -30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:27 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, -6, -8, -4 in decreasing order.\nAnswer: -0.2, -1, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*n - 66576, 5*n + 166439 = 5*d + n. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2363\/8 + -295. Let k(x) be the third derivative of -3\/70*x**7 + 1\/112*x**8 + 0*x + 1\/10*x**5 - x**2 + 0 + 1\/2*x**3 - l*x**4 + 1\/20*x**6. Factor k(g).\nAnswer: 3*(g - 1)**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r + 0*r**5 + 0*r**3 + r**2 + 3 - 1\/2*r**6 + 0*r**4. Find the second derivative of g(l) wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0027914 rounded to five dps?\nAnswer: 0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (372\/28 - -1) + (-4)\/14. Calculate the remainder when 2\/(-4) - (-2 + (-777)\/k) is divided by 35.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 10. Let t be (60\/75)\/(2\/25). Suppose t*s = 11*s. Which is greater: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 19*p - 53. Let r be o(-13). Let w = -158 - r. Calculate the remainder when w is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62353052 to the power of 1\/2, to the nearest integer?\nAnswer: 7896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-18)*6*(-2)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38.096 - -37.896. What is the fifth biggest value in -1, 4.7, -2, i, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -7*h - 9, 5*c = 3*h - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9211 * 4.\nAnswer: 7.6844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*i + 11. Let r = i + -8. Solve -3*y = 4*w, y + 4*w + w = r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let n be (-3)\/12 + 33\/(-12). Let y = 10 + -9. What is the closest to z in 4, y, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (6 - (-4 + 3)). Suppose b*l = -4*l + 1080. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (24 - (-15 + 50)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/11397 and 0.23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-5)*(-11)\/(-33)*15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0 - 11\/6*a**3 + 1\/24*a**4 - 8*a**2 + 0*a. Let r be b(16). Solve -2*k = -k - r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31458520 + 15729259 - 430*n + 15729261.\nAnswer: -430*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*y - 6 = y, r = -3*y - 10. Let p(q) be the second derivative of 2*q**r - q - 1\/3*q**3 + 0. Differentiate p(n) with respect to n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3420830\/316287 + -1222\/113. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12616585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4657, 9314, 13971?\nAnswer: 18628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooiioisooi. Give prob of sequence iooo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:10 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-243)\/(-6)*40\/(-210) - -8.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -18846 + 18786. Solve 2*p - 7 = 7*p + d*z, 0 = 4*p + 2*z + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*m = 3*k - 1, -4*k + m - 13 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 740 + -739.7725. Let f = 0.0275 - s. Which is the third smallest value? (a) 8 (b) 2\/11 (c) 1\/4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 207885 + 4540546 = 74*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-10\/13)\/o)\/(o*o*o**(3\/11)*o)*o*o*o**6\/o*o*o**11*o*o assuming o is positive.\nAnswer: o**(2425\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8141931781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -663?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001077256036 to seven decimal places.\nAnswer: -0.0010773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 78\/(-195)*((-46)\/14 + -1). What is the closest to z in -3, -1, 2\/23, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/18 - (-4 + 1). Let q(j) be the second derivative of j + 0*j**2 + 0 + b*j**3 + 1\/12*j**4. Find the second derivative of q(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -2 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76855 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 11792 to the nearest one hundred.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 29*f**2 + 28*f - 7. Suppose -672 = 38*u - 62*u. Determine h(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, q: 4, b: 8}. What is prob of picking 1 q and 1 b?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2001 - -613. Suppose 5*h = 3*c - 1975, -3*h + r = -2*c + 6*c. Round c to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -578, -1289, -2284, -3563?\nAnswer: -5126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/10 - 8\/(-20). What is the tens digit of 71\/p + 4\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63167 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 10 - (0 + 0 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9004398 decades?\nAnswer: 108.052776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 78.7. Let l = -2.3 + b. Which is bigger: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 7?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51425*v**3 - 86*v**2 + 2*v + 21233038?\nAnswer: -154275*v**2 - 172*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 14. Suppose -s*r = -2*r - 76. What is the remainder when 93 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/4*(-80)\/120\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0438107 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001 (base 2) in base 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 10 + 1 + 12 - 17 as y*k + c and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1344)\/168 + (-3 - 5*-2) - 342\/6.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/5)\/(((-1980)\/(-8800))\/((-3)\/(-4)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1646 - 1646. Let s = 629 + -3134\/5. Sort s, 2, i, 2\/5 in decreasing order.\nAnswer: s, 2, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/21 or 9.692?\nAnswer: 22\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 186 + -194. Find the common denominator of -1\/26 and k - (8 + (-13990)\/780).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d**2 + 6*d + 17. Let n(s) = 13*s**2 - 7*s - 17. Let h(g) = -7*f(g) - 6*n(g). Differentiate h(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/7 + 238*j - 6696\/7 = 0. What is j?\nAnswer: -837, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*p = -107 - 9, -p + 101 = 3*c. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 10*l**2 - 11*l + 6. What is the least common multiple of 16 and y(11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 divided by 93?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322157384 to the nearest integer?\nAnswer: 17949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -3, 1\/19, 6123 in ascending order.\nAnswer: -3, 1\/19, 0.2, 1, 6123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445 - 2811 = -256*n + 328 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 25*x**3 - 4*x**3 + 29 + 0*x - 20*x**3 as o*x**2 + d + s*x**3 + i*x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*2*(-2)\/2. Let k be 216\/(-378) - 64\/(-112). Put k, m, -16 in descending order.\nAnswer: m, k, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 678*j**4 + 8*j + 25717 wrt j?\nAnswer: 2712*j**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/(-7) + -18)\/(2\/(-6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/113220 and -65\/968031?\nAnswer: 19360620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 31*j**2 - 1 + 1.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5879314041 take away -402.21?\nAnswer: 5879314443.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let s(u) be the third derivative of -1\/6*u**3 + 0 - 1\/24*u**4 + 0*u - 11*u**2. Give l(p) - s(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1440 and 264.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(2) + sqrt(6)\/sqrt(3) + sqrt(2)) + ((sqrt(288) - (4 + sqrt(288))) + 1)**2.\nAnswer: -6*sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6383*h**3 - 3*h**2 + 3*h**2 + 11443*h**3 - 5035*h**3.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.039 - 2.039. Let g = -10 + 6. What is the closest to 1\/4 in -1, w, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1\/5, -163, -12?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 - m - 1. Suppose l = 4*l + 3. Let r be s(l). Suppose 2*w - 17 = -4*y + y, -7 = 3*y - 4*w. Put 4, r, y in descending order.\nAnswer: 4, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**5\/60 + 5*t**4\/24 - t**3\/6 - t**2. Suppose -12 = 5*q - 7*p + 3*p, 10 = -5*p. Let m be (q + 2)\/(-1) + 4. Calculate j(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 - 6 = 0. Suppose 0*t + 4*t - 60 = 5*o, -3*o - 2 = t. Let y = t + b. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, p: 1, k: 2, r: 1}. What is prob of picking 2 z and 1 r?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 5*k - 10, -5*k + 22 = 3*s + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 526, 3283, 8270, 15487?\n\"Answer: 1115*t**2 - 588*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Let v be -3 + 0 + 6\/s. Let g = 8.9 - 8.97. Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 4*p**2 + 2*p**3 + (0 + 1 + 0)*(11*p**3 - 105 + 105) + 19*p**3 - 31*p**3 + 19*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6627*d*g*s + 18454017*d*s + 5*d + 2*g**2*s - 10*g**2 - 18*g wrt g?\nAnswer: -6627*d*s + 4*g*s - 20*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - t**2 + 2*t - 1. Let j be l(1). Suppose -5 = -3*c + j*c. Suppose -4*g = -88 - 4. 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: 3982.5*48.2\nAnswer: 191956.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500, 509, 518, 527?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594565 is divided by 5829.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, n: 9}. Give prob of sequence nqnq.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 + 30 = 0. Solve z - 5*t - p = 0, -4*z + 3*t = 7*t - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.18 + -34.48. Let y = -0.36 + 0.02. Which is the third smallest value? (a) h (b) 3 (c) -0.5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 328, 14.5, -1\/3 in increasing order.\nAnswer: -1\/3, 14.5, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1 - 2*j + j**2 + 10 - 3*j. Let h be l(2). Suppose h*c - 37 = -4. What is the third biggest value in -4, -3, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + 43*d - 40. What is the remainder when 219 is divided by v(20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven quarters of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24157\/(-2842) - -2*(-2 - -3*1)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -6*(sqrt(7) + sqrt(28)\/(sqrt(100) + sqrt(4)))*-3)*-4*-2)**2.\nAnswer: -13440*sqrt(7) + 199168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 20 + 5*u)*(2*u - 4*u + 4*u)*(4*u + 4*u + 4*u) in the form s*u**3 + d*u + t + r*u**2 and give s.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411, -823, -1233, -1641, -2047, -2451, -2853?\nAnswer: -3253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 - -38. Let f be (-111)\/a - 4 - 1. What is j in 4\/5*j**5 + 8\/5*j**2 - 12\/5*j**4 - f*j + 4\/5 + 8\/5*j**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252\/(-297) + (-50)\/(-275)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 15, -5, -2 in increasing order.\nAnswer: -5, -2, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**5\/120 - l**4\/12 + 2*l**3\/3 - 1. Let h(i) be the third derivative of k(i). What is the units digit of h(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17914 - 17810. Let c = -18 + 44. What is the remainder when r is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223.135 + 223. Let l = q + -0.165. Let o = 0 - -0.2. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s*s**(-1))\/s)*s))**(-23\/4)\/(s**(2\/15)\/(s\/(s\/s**(-2)))))\/((s**(-1\/2))**(-8)*s**(3\/2)*s*s**5) assuming s is positive.\nAnswer: s**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2102 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - 2 - 121*g**3 + 73*g**3 - 45*g + 2 + 9*g + 45*g**3.\nAnswer: -3*g**3 - 29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let m(b) = 2*b. Let k(y) = 3*m(y) + 2*q(y). Let l(r) be the second derivative of -8*r**4\/3 + 5*r. Determine l(k(w)).\nAnswer: -128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134313 + -130041?\nAnswer: -314404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -96\/127 less than or equal to 2040\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 2*249\/123. Let z = g - -9607\/1107. Calculate the common denominator of (-335)\/6*8\/(-220) and z.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = 5*f - 4*v + 84, 11*v - 164 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14900 (b) -6 (c) -0.3 (d) -0.1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + 1) + 4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162272875*y**3 - 101864142*y**2 wrt y.\nAnswer: 973637250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = 9. Suppose 2*n = 3*i - 3, -t*i - 2*n = -2 - 2. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**2 + 0*p**3 + 1\/8*p**4 - 7 + 0*p. Factor k(q).\nAnswer: q*(q - 2)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-2)\/(-10) - (-648)\/60). What is the greatest common divisor of 11198 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*g = -13 - 35, -4*u - 13 + 45 = g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1260381*p**2 + 1306374 wrt p?\nAnswer: -2520762*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.06, -2\/11, 0.048148?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178334787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.3. Let v = 0.3 + -0.1. Put v, -2, z in increasing order.\nAnswer: -2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08178803 times 0.2?\nAnswer: 0.016357606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125237 * -0.392.\nAnswer: 49092.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 323 + -486. Let d = -158 - u. Solve 0*l - 2*l + 18 = d*i, -5*l + 12 = -4*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 199 = 1168. Let u be 57\/2*g\/6. Let j = u + 1527. What is the common denominator of j and 39\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/23)\/k)**(17\/3)*(k**12*k)**(-9))**(-6) assuming k is positive.\nAnswer: k**(16860\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 24, 0.4, -209?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 36*f + 100. Let w be m(15). Suppose 716 - 712 = c. Solve 3*i + g - 8 = 6*i, 0 = -c*i + 2*g - w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 9:56 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-5 - -6 - -1) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34329 is divided by 16157?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2743)\/312 - -5)*-3 + -6*(0 - -2).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/60 - p**4\/24 - 2*p**3\/3 - 142*p**2. Calculate g(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, 5, -4, -656?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1607800380 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(4*u**4 + 2*u**4 + 0*u**4 + u**5).\nAnswer: -3*u**5 - 18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/315 and 149\/270.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**3 - 25*l**2 - 31*l - 41. Let m(b) = b**3 + 5*b**2 + 6*b + 8. Let n(h) = 11*m(h) + 2*v(h). What is the units digit of n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1141286?\nAnswer: -456514.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from ehjhjbhbhheebhh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*h - c, -2*h + 3*h = -4*c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/6*385\/(-70)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqqzeeeeyyq. Give prob of picking 3 e.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 3) + -6 + (-4 - -1) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 - 7*f**4 + 2*f**4)*(-2*f - 6*f + 0*f) - 2*f - 3*f**5 + 2*f + (2*f**3 - f**3 - 5*f**3)*(-2*f**2 - 3*f**2 + 4*f**2).\nAnswer: 17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 416 + (-42)\/6 - -5. Let t = y + -1241\/3. Sort 1, 2\/19, t, -0.5 in ascending order.\nAnswer: -0.5, 2\/19, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(220)\/(sqrt(1000) - sqrt(1000)*2))\/(sqrt(891) + 2*sqrt(891) - 2*sqrt(396)))**2.\nAnswer: 2\/5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 10*f + 12. Let r = 18 + -9. Let j be y(r). Solve 0*p - p + j = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcr when three letters picked without replacement from hhchhgrchgh?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34538433 and 506.\nAnswer: 759845526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 4*w**2 + 4*w - 8. Let a be ((-15)\/(-6))\/((-25)\/60). What is the units digit of r(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/6*(-10)\/5. Factor -4*k - 12*k**2 - 4*k + 4*k**3 - 2*k**5 + 3*k**5 + a*k**5 + 12*k**4.\nAnswer: 4*k*(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -51, -60?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k - 9 + 9 + (-31 + 42 + 31)*(-2*k + 54 - 54).\nAnswer: -78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -46*c**2 - 594*c. Let n(v) = 44*v**2 + 591*v. Let r(s) = 2*d(s) + 3*n(s). What is the second derivative of r(h) wrt h?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/4481 - -353979\/44810. Calculate the common denominator of 2 + ((-195)\/(-6))\/(-5) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -751474812 by 62622901.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4070 - a7?\nAnswer: -4167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -2*s - 48 + 89 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - g - 16*g - 8 - 23*g.\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*h + 24*h - 12. Let k be (-2 + (-1 - 2) + h)\/(-1). Let p be (2 - (-2 + 6)) + -2. Sort p, -3, k.\nAnswer: p, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -161, -335, -509?\n\"Answer: -174*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q*((q**23*q)\/q)\/q)\/q*q*q**(-3\/5) assuming q is positive.\nAnswer: q**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r = -262*r - 426 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5482314 and 7918898.\nAnswer: 71270082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (24\/22)\/((-2096)\/25938)\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + -40.53431329?\nAnswer: -97.53431329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -748 + 2462. Let f = p + -646. List the prime factors of f.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -5*n + 833. Suppose -n = -5*i + 81. Suppose -p + 3 = -28. Calculate the remainder when i is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -266 - (4 - -6)\/2. Let b = n + 380. List the prime factors of b.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/12 + 77\/4. Solve 3*o + a = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 88127.36734441.\nAnswer: -88127.36734441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -514.6 + 513. Is q < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 14*f. Let b(d) be the second derivative of 2*d + 2 + 17\/6*d**3 + 0*d**2. Determine i(b(w)).\nAnswer: 238*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -23. Suppose b = -5*m - 0*m + 6, -m = 2*b + k. Suppose m*w - 192 = -2*w. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.19805cm in micrometers?\nAnswer: 721980.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16823?\nAnswer: 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 1090.\nAnswer: -12\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/3 - 1)*1. Let i be (u + 0 + 1)*2. Let f be 32\/18 + i\/18. Solve -f*g + 4*k = -3*g - 17, 3*k = -2*g - 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8089, 16263, 24433, 32599, 40761?\n\"Answer: -2*l**2 + 8180*l - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 320*g - 93*g**4 + 2*g**3 + 2*g**3 + 184*g**2 + 36*g**4 + 25*g**4 + 28*g**4.\nAnswer: -4*g*(g - 8)*(g + 2)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1820 + 3*v + 2030 - 6*v to z + r*v and give z.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 8 + 103. Suppose 0*j - m = -3*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3)\/((-1)\/(-3)). Let q = 0.4 - -1.75. Let n = -0.15 + q. What is the third smallest value in n, c, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and 167?\nAnswer: 167.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011000110 (base 2) to base 3.\nAnswer: -1200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - z + (-1 + z + 1 - 1 + 1 + 3*z + (0*z + 3*z - z)*(2 + 0 - 3))*(4 + 3 - 5).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000002 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27471581?\nAnswer: 151, 181931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 525 (base 16) to base 11\nAnswer: a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 3*v + 6. Let m(w) be the third derivative of -w**5\/30 + w**4\/8 - 5*w**3\/6 - 17*w**2 + 5*w. Give -4*j(n) - 5*m(n).\nAnswer: -2*n**2 - 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -0.3. Let u be (4\/6)\/(55\/(-15)). What is the nearest to -4 in u, r, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/(64\/(-120))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, e: 4}. Give prob of picking 4 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -101101300?\nAnswer: -101101244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((7 + 37)\/(-4))\/(-4) - 2. What is the second biggest value in -12, -0.3, 1\/15, d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55565 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5789*w + 392746 - 392746 in the form x*w + d and give x.\nAnswer: -5789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 34*a**2 + 257*a - 1074. Is b(109) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5760840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.02 and 1234527?\nAnswer: 1234526.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000572576447 rounded to 5 dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -139*c - 267. Give w(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3697623 nanograms?\nAnswer: 0.0000000000000003697623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3255 and 1575.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 10. Let t(y) = 4*y - y**3 - y**2 - 2*y**2 - 7 - y**2 - y**2. What is the remainder when f is divided by t(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 164143*w + 175. Let n(h) = 2830*h + 3. Let j(a) = 350*n(a) - 6*x(a). Let t(y) = -y**2. Determine j(t(o)).\nAnswer: -5642*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1418370.41 to the nearest one hundred.\nAnswer: -1418400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/26443756 or 1?\nAnswer: -3\/26443756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 - 3*j - 7. Suppose 2 = o - 0*o, -4*d = o - 26. Is 3 a factor of r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -443 + 259. Let i = 188 + b. Suppose 0 = -3*k + 4 + 11. Solve -i*r + n = 5*n, -n = -k*r - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 7:43 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.4 and -815 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 127*o - 750. Let j(w) = w**3 + 6*w**2 + w - 2. Calculate the smallest common multiple of j(-5) and a(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -49*u + 47*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -68*w**3 - w**2 - 2*w. Let d = -68 - -67. Let i be d + (-4)\/2 - (-2 - 0). Calculate the remainder when o(i) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-93)\/(-42))\/((-3149)\/44086)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144 a factor of 1340000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (1 - (0 - -5)). Suppose 0 = 2*a - 4*a. Let w(q) = -4*q + 6*q + x*q + a*q. Let l(g) = 2*g. What is l(w(i))?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3.8. Let y be -1 - -1 - 10\/(-5). Sort -1, y, v in decreasing order.\nAnswer: y, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbfffafaa. What is prob of picking 2 f?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -461 - -461. Suppose -32*c + 17785 + 17063 = p. Calculate the remainder when c is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 + -134. What is the third derivative of -3 + v**3 + 6*v**2 + 4 - 35*v**2 + v**2 + h*v**2 + 39*v**4 wrt v?\nAnswer: 936*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 6*l + 1. Suppose 4*c = 5*x - 18, -2*x + 0*c = -4*c - 12. Let t be 3\/5 + (x - 68\/(-20)). What is k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + o = 3*l + 4, -8 = 5*l - 2*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 bigger than 2185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2900, 9956 in descending order.\nAnswer: 9956, 2900, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Let o(j) = -j**2 + j - 1. Let a(d) = 5*d**2 + 4*d - 4. Let h(r) = a(r) - 4*o(r). What is h(l(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3861, 30854, 104119, 246792, 482009, 832906, 1322619?\n\"Answer: 3856*r**3 + r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50209 is divided by 50204.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-63)\/(-6)) + 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 6*r - 2. Suppose -m - 3*m + 20 = 0. Let l be z(m). Factor -b**2 + l*b**2 + 4*b - 2*b**4 + b**5 - 5*b.\nAnswer: b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -2 + 4*n + 1\/3*n**3 - 3*n**2. Give g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**5 + 144*r**4 + 456*r**3 + 464*r**2 + 156*r = 0.\nAnswer: -1, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/287)\/(4\/(-448)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111000 (base 2) in base 9?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g**3 + 35*g**3 + 1 - 1.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4623906 and 22250.\nAnswer: 577988250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313.99846 + -314. Round r to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3817128*d*i*j + d*j + 4*i**2*j + 5143211*j - 5 with respect to i.\nAnswer: 3817128*d*j + 8*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8498 + 8904. What is the greatest common factor of 986 and k?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15411 + -22433. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 25*s + 36. Let b be y(11). Sort -3, 0, b in descending order.\nAnswer: b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*b - b = -19, 0 = -2*j + 4*b + 6. Let p = 332 - 330. Solve n = 2*k + 8, -j*n + p*n = -k - 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 260, 383, 506, 629, 752?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 0) + -6 - (-361 + -98).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbsbbsbbbbbbbbb. Give prob of sequence bs.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 2*k - 3. Let d be v(4). Suppose 5*s = -d*h + 105, 2*s - 52 = -3*h - 7. Is (2 - 1)*1*s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248656 rounded to the nearest one thousand?\nAnswer: 2249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 5 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-10) - 1)\/((-54)\/540). Calculate the remainder when (6\/z)\/(9\/(-618))*-2 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-6*(1 + (sqrt(80) - (sqrt(80) - (-2*sqrt(80) - sqrt(80))*3 - sqrt(80) - sqrt(80))))*-6 + -5))**2*1.\nAnswer: -999936*sqrt(5) + 81300496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - 70*y**2 + 7*y - 9. What is the thousands digit of a(36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**3 + 3*t**2 + t - 4. Let b(i) = i - 6*i**3 + 3*i**2 + 0*i**2 - 858710 + 858707. Determine 4*b(u) - 3*f(u).\nAnswer: -3*u**3 + 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5126533 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*m - 135*m = -70*m + 9775 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -825295013 - 167211?\nAnswer: -825462224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191790 - 25*d + 191790.\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18847 and 282?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = -9*p + 4*p, -r = -5. Suppose -9*a + 270 = -p*a. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 110*g - 26. Let j(p) = -2*p**3 + 77*p**2 + 39*p + 3. Let w be j(39). List the prime factors of b(w).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a**2 - 2*a + 1. Suppose 2*h = -0*h + 2. Suppose 3*y - 3*u - 82 = 104, 2*y + 5*u - 103 = 0. Calculate the remainder when y is divided by s(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**14\/p*p*p**(-3\/11)*(p\/(p*(((p\/(p\/p**(-23))*p)\/p*p)\/p*p*p)\/p))\/p**(-5\/3))**26 assuming p is positive.\nAnswer: p**(32084\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*p = 71*p - 3*g - 9, -3*p - 33 = 6*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i + 9*i + 36*i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 36.78167nm?\nAnswer: 0.00000000003678167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 19\/5*g**5 + 361\/2*g**4 - 2*g + 1\/30*g**6 + 0 + 13718\/3*g**3 - 35*g**2. Let c(j) = 0. Calculate j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a86 - -3?\nAnswer: 11a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150 - -10325.\nAnswer: 10475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6880469*f*n**3 + 4*f*n - 34*f + 4*n + 3 wrt n?\nAnswer: -41282814*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 8. Let n be 9*1 + j + (-4 - -2). Suppose 8*o - n*o = -5. Solve f + 3 = o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*b - 620*b + 3*l - 101 = 22, l + 1441 = 38*b for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14760, 29520, 44278, 59034, 73788, 88540?\n\"Answer: -v**2 + 14763*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308852 is divided by 102890.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 208 + -124. Let q = w + -82. Suppose -q = -9*z + 11*z, 2*z - 289 = -f. List the prime factors of f.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*4*(1 + 1 + sqrt(1900) + sqrt(1900) + sqrt(1900)*-1*-5)**2)*-5.\nAnswer: 16800*sqrt(19) + 5586235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/56)\/(-1))\/((-8)\/112*5)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4636 and 21796154.\nAnswer: 2318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z**2 + 7*z + 4. Let r be f(4). Suppose 0 = -5*j - 4*u - 16, r = -5*j - u - 4 - 0. Suppose -2*c + 55 + 35 = j. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10101, 8, 12\/11.\nAnswer: -2, 12\/11, 8, 10101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 66. Let u = -221 + 226. Solve -g - a = u*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -85\/6*w**3 + 53\/2*w**2 - 7*w - 2. What is the derivative of q(l) wrt l?\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.705757415615 - 53.\nAnswer: -55.705757415615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -12, 6, 1\/4 in ascending order.\nAnswer: -12, 1\/4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -3. What are the prime factors of (60\/(-25))\/((-1)\/w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.9, -3, 2, 165, -2 in ascending order.\nAnswer: -14, -3, -2, -0.9, 2, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 + 150. Suppose 0 = -b*f - 1787724 + 9155724. What is f rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a factor of 144673663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10348600 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8918182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 297e (base 16) to base 5\nAnswer: 314442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 315 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-5)\/(1\/(-1)). Let u(k) = -p*k**2 - 6 + 3*k**2 + 3. What is the units digit of u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1834*x**4*z**3 - 2*x**4*z - 2*x**2*z + 9725*z**3 wrt x?\nAnswer: -44016*x*z**3 - 48*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6))\/(1\/(-1018)). Let l = g + 734. Suppose 2*v - l = 3*j, -5*v - 3*j + 255 = -3*v. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = 0, -10 = 3*w - 2*k + k. Let s = 7 + w. Solve 4 - 10 = s*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379474.5g in kilograms?\nAnswer: 379.4745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from anan.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 667563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1458*u - 1. Let o(b) = 1426*b. What is -2*o(l) + 3*w(l)?\nAnswer: 1522*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 1*sqrt(88)*5)\/(-5*(sqrt(8) + (sqrt(8) - sqrt(16)\/sqrt(2)))).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 127 = 11*f. Calculate the least common multiple of 14 and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 6, 0 = 4*k - 2*g - 20. Suppose k*n = -n + 110. Calculate the highest common divisor of n and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131042132 + -10142?\nAnswer: 131031440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -110. Let s(y) = -7*y + 2. Let z(r) be the third derivative of -155*r**4\/24 + 15*r**3\/2 - 10*r**2. What is l*z(o) + 45*s(o)?\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 39*c**2. Let y(d) = 39*d + 39*d - 80*d. Let i(z) = -4*z. Let l(t) = -4*i(t) + 9*y(t). What is j(l(n))?\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 991*a**2\/2 - 2979*a\/2 - 144.\nAnswer: -(a + 3)*(a + 96)*(10*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 3. Let h be l(-6). Let k = h + 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -17*w**2 + 52*w - 543. Let m(y) = 8*y**2 - 30*y + 271. Give -7*m(z) - 4*t(z).\nAnswer: 12*z**2 + 2*z + 275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 856.063 hours?\nAnswer: 3081826800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = t - 582. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1124 and 8.\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8825 - -8836. Calculate the least common multiple of c and 682.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 223\/(-18) - (-30 - -16 - -10) and 31\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -553 - -803. Which is bigger: j or 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4 = -3*q, -2*q = -21 + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + b)*((-1 + 0 + 3)*(1 - 1 + 1) - 32 - 56 + 26).\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*1)\/(sqrt(11) + sqrt(1331)*-1 + sqrt(11)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**5 + 56*z**4 + 180*z**3 + 208*z**2 + 80*z = 0.\nAnswer: -10, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(-1) + (-946)\/1032.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -11 + 5 + 2. Put -5, -3, g, 5 in decreasing order.\nAnswer: 5, g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/50*3)\/(-3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 30300, 3.4, 2\/67?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/809?\nAnswer: 4\/809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = 0, 5*h + q - 12 = h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -608 + 1?\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007490263606 rounded to 6 dps?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rafarmaaxaarmrrrxarx. What is prob of picking 1 r and 2 a?\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7251 - -8141.2749. Is b <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**4\/15 - 102*x**3\/5 + 308*x**2\/5 + 600*x. Let d(c) = 0. Calculate c.\nAnswer: -154, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107 - -674. Suppose -c = -7*j + 378. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13959483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 6*l**2 + 0*l**2 + l**2 + 0*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 180\/16 + (-3)\/(-4). Suppose 7*d + 710 = c*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*n = -n - 1388146 - 4235012. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*n - 18*n**2 + 12*n + 19*n**2 as j + t*n + a*n**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z - 4 - 6 + 3. Let p be l(-3). Let d(g) = 6*g**2. Let j(k) = -2*k**2. Give p*j(v) + 4*d(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.96 - 1.06. Let l = -3 - -3.2. Which is the smallest value? (a) l (b) -6\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m - 5*v = -87 - 246, 3*v - 180 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -226 or -223?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in -1\/8, 5267, 76?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 1, f: 1, g: 2, r: 1, i: 2}. What is prob of sequence rig?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47, -252, -791, -1826, -3519, -6032?\n\"Answer: -27*y**3 - 5*y**2 - y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(1\/10)\/(m**(-1\/5)*m*m*m**6))\/((m**(1\/3)\/(m*m**(-1)*m))\/(m**(-1))**(1\/2)) assuming m is positive.\nAnswer: m**(-229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - (-2*sqrt(85)*6 + sqrt(85))) + sqrt(85) + sqrt(85) + -5*sqrt(85)*-2)\/((sqrt(245) - 1*2*sqrt(245))*5))**2.\nAnswer: 9792\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 205\/4 (b) 1 (c) 3396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 194271361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(76\/(-76))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - v**2. Let a be w(1). Suppose -l + 42 = 2*p, 0 = a*l + 2*p - 32 - 46. What is the remainder when l is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 6. Let v be -3*((-4)\/(-15) - 9\/15). Let f be q(v). Solve f*x - 1 - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 2*y + 0 + 0)*(11 - 3 + 4) to the form h*y + a and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 56*q**2 - 6*q + 49. List the prime factors of p(8).\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 0*b**2 - 1\/14*b**7 + 0*b**4 - 1\/6*b**3 + 0 + 0*b**5 + 0*b**6 + b. Find the second derivative of v(d) wrt d.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91079 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 15, e: 4}. Give prob of picking 3 e.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 8 + 1 + h**2.\nAnswer: 5*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u + 1 - 9*u - 6*u - 10*u.\nAnswer: 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6700 is divided by 605?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*v + 19 - 53, -2*v + 3*h + 37 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 20 = 3*m. Let t = 1622\/9 + -180. Let l = -8.6 - -9. What is the smallest value in l, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5 + 2562*j**4 - 413592*j**3 - 56830128*j**2 - 1538228592*j - 2852486496 = 0?\nAnswer: -46, -2, 474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6867594599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 11*m**2 - 9*m + 2. Let q be w(10). Which is greater: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18714 = 46*r + 6570. Calculate the smallest common multiple of r and 5016.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0*h)**(6\/13)*(h*h**(-1\/7))\/(h*h*h\/(h**(3\/4)*h)*h*h*h) assuming h is positive.\nAnswer: h**(-899\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 111 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -206103 divided by 103?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 677? (a) -0.01648 (b) 4 (c) 3\/7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1330 and 66697.\nAnswer: 88707010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*l**2)*(16*l + 7*l - 2*l).\nAnswer: 42*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/184 and -109\/5750.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5481 and 19206.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/(-130) - (-2)\/(-5). Is -1 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 3*d**8\/112 - d**7\/10 + 7*d**6\/120 + 17*d**5\/60 - 2*d**4\/3 + 2*d**3\/3 + 9*d**2. Find q such that w(q) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -259 in descending order.\nAnswer: 1, -1, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6645 or -11?\nAnswer: 6645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449 - 147 - 9*o**2 + 58*o - 137 - 166.\nAnswer: -9*o**2 + 58*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16997 - 25449 - 5490 = 2996*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-637)\/(-39))\/(((-15)\/(-207))\/5). Differentiate -h*q**3 - q**4 + 50 + 1127*q**3 - 56*q**2 wrt q.\nAnswer: -4*q**3 - 112*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 23*c**2 + 23*c - 24. Let y be r(22). Let h be ((-2)\/(-10))\/(y\/(-190)). Solve 3*t - h = -4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6144708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1202*m**2 - 105*m**2 - 55*m**2.\nAnswer: 1042*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqssvqqccscqcz. Give prob of picking 2 q and 1 v.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7540 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34161 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92164, -92166, -92168, -92170?\n\"Answer: -2*x - 92162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -5. Is 988\/12 - q\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.48 + -0.18. Let m = 2.7 + q. Let i = 4.4 - 4.5. Put i, m, 2 in increasing order.\nAnswer: i, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-13 - 1) + 5 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 4. Let m(w) be the third derivative of -7*w**4\/24 - 4*w**3\/3 + 18*w**2. Determine -5*a(f) - 2*m(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31338?\nAnswer: 2, 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 - -56. Suppose 4*k - c - 11 + 3 = 0, 3*k = -b*c + 6. Solve 4*p = j + 11, -2*p - k*j + 3*j + 3 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4 - o - 12. Let m(q) = -9*q - 1. Calculate m(y(h)).\nAnswer: -108*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/50 and -47\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -2, 1, -17?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 417 and 1946.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) - ((-261)\/2)\/9. Suppose -s = 4*w + 46. Let f = w + 19. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 41.9. Which is the nearest to 1? (a) -2\/5 (b) 3\/8 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*d + 1520, -28 = d - w - 788. List the prime factors of d.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10032 (base 6) in base 12?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c - 2. Let u(x) = 25*x + 17. Let i = 48 - 46. Let v be (i\/((-4)\/(-51)))\/(19\/(-38)). Determine v*r(l) - 6*u(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3238.79496895 - -3814.794957. Let j = m - 576. Round j to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -421528, -421529, -421530?\nAnswer: -421531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 2 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11313 - 3926. Suppose p = -7*x - 6053. Round x to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -144 + 211 - (1 + 3) - (-7 + 2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -94725, -94676, -94633, -94596, -94565?\n\"Answer: -3*o**2 + 58*o - 94780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 1516298?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 + 4657*y**2 + 2038152*y = 0. What is y?\nAnswer: -4168, -489, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11*(-45)\/50 + 2\/(-20). Let j(o) = o**3 + 10*o**2 + o + 17. Determine j(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4077367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0 - 1\/10*v**5 - 13\/3*v**3 - 3\/2*v**2 + 322*v - 13\/12*v**4. What is the second derivative of t(x) wrt x?\nAnswer: -12*x - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**6\/120 + v**5\/20 - 2*v**3\/3 - 11*v**2 + 9*v. Let q(u) be the first derivative of i(u). Solve q(c) = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.939917 micrometers to nanometers.\nAnswer: 9939.917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1780, 7136, 16068, 28576, 44660?\nAnswer: 64320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -518619457489.\nAnswer: 518619457490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j + 5. Let q(w) = -4*w - 3. Let a(t) = 5*q(t) + 3*r(t). Let g(x) be the first derivative of 1 + 0*x + 5\/2*x**2. Calculate a(g(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (5 - (-49 - -20)) - (-1 + (-25 - -3)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, d: 4, p: 3}. Give prob of picking 3 d.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {q: 2, v: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 273.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5780771083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.76 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5667 from 227.\nAnswer: -5440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.5, -1, 277\/9, 10 in decreasing order.\nAnswer: 277\/9, 10, -1, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 312 - 57224?\nAnswer: -56812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 12 - 10. Let j = -15 + 28. Calculate the highest common divisor of j and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/40 + 15\/25. Is (g\/2)\/((-6)\/(-121596)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/60 - 5*x**3 - 332*x**2. What is g(0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:05 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2 less than -0.4?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 d when three letters picked without replacement from kdxnmoo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 577? (a) 2 (b) 311 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 78.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000480466 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - (-14)\/8. Let t = 60.7 - 4.7. Let x = 51 - t. Which is the second smallest value? (a) -1 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1062531*o + 3. Let h(x) = -x**2. Give u(h(p)).\nAnswer: -1062531*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**6)\/u**6)\/(((u*u**(-2))\/u)\/((u\/(u**2\/u))\/u)))\/((u**(-2\/5))**(-33)*((u*(u\/(u*((u*u*u**(-1\/10)*u)\/u)\/u))\/u)\/u)\/u*u**5) assuming u is positive.\nAnswer: u**(-243\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 832630*c - 3330440.\nAnswer: -5*(c - 166522)*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5235 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + i**3 + 0*i**3 - 17 + 2*i**2 + 20. Let m be o(3). Calculate the highest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164857, -328976, -493095, -657214, -821333, -985452?\nAnswer: -1149571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 20*h**2 - 5\/3*h**3 + h**5 + 0*h - 67 - 10*h**4. Factor s(b).\nAnswer: 5*b*(b - 8)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29035945 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0.3, -782.8438.\nAnswer: -782.8438, -3, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3414147 or -0.55?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(128)*6)**2.\nAnswer: -13824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 4. Let h = 15 + -11. Solve h*w = -3*m + a, -m - 21 = w + 4*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2 + 2)*(-7*k**3 + 20*k - 20*k) + (1 + 2*k - 1)*(3*k**3 + 2*k**3 - 3*k**3) + (4*k**2 + 4*k**2 - k**2)*(-3*k**2 + 3*k**2 - 2*k**2).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6945907 is divided by 216?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1541 = 5*t, -5*t + 4*t + 303 = -5*c. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 1320, 4484, 10642, 20790, 35924, 57040?\nAnswer: 85134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -27*s - 1231. Let p(j) = -5*j - 247. Determine -11*p(n) + 2*x(n).\nAnswer: n + 255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132269174.\nAnswer: 2, 29, 2280503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - 5*z**4 - 1222*z**2 + 1156*z**2 - z**3)*(-2*z + 8*z - z).\nAnswer: -25*z**5 - 330*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.29 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 73 + 1 = 0. Let f = q + 58. What is the highest common factor of f and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*q + 6051 = 0, -66*u - 2*q = -64*u - 4042. List the prime factors of u.\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 4*j - 4*l + 16, -5*j + 2 = -4*l. Which is the closest to -3\/43? (a) -0.5 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 16*v - 15. Let b be w(15). Suppose l = b, -5*l - 15 = 6*f - 3*f. Let t be 6\/2 + -4 + f\/10. What is the nearest to -0.2 in t, 3\/7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 1:52 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.2, 2\/305, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let o(f) = 2583*f. Give s(o(b)).\nAnswer: -2583*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 73430 divided by 36715?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a3 (base 11) to base 16.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16615*g + 8308*g + 12*g**3 + 8307*g - g**3.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4 - 634*j**3 - 2551*j**2 - 644*j + 3828 = 0. What is j?\nAnswer: -3, -2, 1, 638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 + 1534*b - 588289 = 0.\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 569.6? (a) 0.132 (b) -5 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412590.\nAnswer: 2, 3, 5, 17, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1362 - -862. Let f = x + 907. Let t = 405.11 - f. What is t rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.255657 - -0.1806484. Let b = 0.075 + l. Round b to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(4\/(-1)))\/((-90)\/(-1320)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 + 37*d**2 - 13*d + 14. Let x be p(12). Solve 5*f - 8 = x*m + 3*f, m + f = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, -0.369, -1, -54 in descending order.\nAnswer: 9, -0.369, -1, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-6))\/d)\/d**(-1\/2) assuming d is positive.\nAnswer: d**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 6:19 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4600 - -4599. Which is the second smallest value? (a) -0.4 (b) m (c) -0.2 (d) -2\/9 (e) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + i - 6. Let m be n(-2). Solve -2*c - d = -7, m*c + 4*d - 22 = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.567 and -0.1.\nAnswer: 14.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32 - 2\/(-2) - 2. Suppose -3*r + 5*o + 6 = 3*o, -5*o + j = 4*r. Suppose -c - 2 + r = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 4:31 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 - 2*u**2 + 2*u**2)*(6 - 2 - 2)*(1 - 9 - 4 - 3*u) in the form f*u**3 + n + x*u**4 + l*u**2 + s*u and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/(((-41)\/861*7)\/(14\/174))?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(1 + sqrt(468) - sqrt(468))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0, 0.11, -5, 0.2, 14\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84200071 a multiple of 4522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -17. Solve c + 1 = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -173*b + 137*b + 180. Solve 24*i = 19*i + b, 3*f + 2*i + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2017 + -1826. What is the remainder when 574 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 9:35 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 3, k: 1, l: 5, h: 4}. Give prob of picking 1 v and 1 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/268488 and 43\/68732928.\nAnswer: 68732928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 3*y**2 - y - 3. Let c(s) = 6*s + 8 + 8*s + 484*s**2 - s + 6*s**3 - 476*s**2 - 10*s. Calculate -3*c(n) - 8*i(n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t - 84. Suppose 0 = 5*u - w + 52, 0 = 4*u - 2*w + 10 + 34. Let b be i(u). Solve -2*n + 6*n + 4*l + 12 = 0, 4*n - 5*l - b = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 235638*h. Let v(j) = 33*j. Give v(g(c)).\nAnswer: 7776054*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, w: 2, k: 1, a: 4, g: 5, j: 5}. What is prob of sequence ajww?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**4\/24 - 8*z**2. Let u(d) = -d**2 - 2*d. What is -2*a(i) + u(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 421226*c - 842481. Give g(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 3)*(2 - 2 + 3*v)*(2 - 3 + 2) as r + n*v and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 321356213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/8 - (-5)\/(-120)*-3. Let g be (2 - 3 - -13) + -2. Suppose 4*z - g = -d, 2*d - z + x = 2*z. Which is the nearest to d? (a) -4 (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**4\/12 + 44*j**3\/3 - 89*j**2\/2 - 982*j. Factor i(a).\nAnswer: (a - 1)*(a + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -1?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 0.5 (c) 4 (d) -269\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191242, -191234, -191222, -191206, -191186, -191162, -191134?\nAnswer: -191102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 4*q - 5*q)*(4*q + 4*q - 2*q) + (2*q**2 + 5*q**2 - 5*q**2)*(-4 + 0 + 3) in the form h + p*q**2 + s*q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:23 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3125*l**3 + 179500*l**2 + 253620*l + 90720.\nAnswer: 5*(l + 56)*(25*l + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6 - 2 + 0 + 6*c**2.\nAnswer: 6*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13165121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -523602 divided by 1?\nAnswer: -523602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -2*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -1085621?\nAnswer: 1085617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*d = 3*v + 1572 + 247, -3*v = -d + 16 + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32 + -33 + 1*-1. What is the nearest to l in -5\/2, -0.4, -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.1. Suppose 3*o - 10 = -j, 250*o - 30 = 245*o - 3*j. Which is the nearest to 0? (a) o (b) 4 (c) -1\/2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3311.9 - 5.\nAnswer: 3306.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/(-15))\/(126\/(-105)). What is the fourth smallest value in i, -0.01, -0.3, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 7*o - 69. Let q be f(17). Let p be 150\/24*72\/15. What is the greatest common divisor of q and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:33 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, q: 6}. What is prob of picking 1 q and 1 s?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 13. Let q be z(8). Suppose -12 - 15*t - 6*t - 35 - 3*t**2 + q = 0. Calculate t.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 12*m - 45*f = -6*m - 50*f + 29, f = 2*m + 13 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 45975765895 + -7\nAnswer: 45975765888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5598?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*d - 49*d + 46*d + 52*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 23200036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*s - 16 + 1, 4*z - 3*s - 45 = 0. Let l = 21 - z. Let o be (15\/(-20))\/(l\/4). Sort -4, o, 2 in descending order.\nAnswer: 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-1))\/3*4. Let d(w) = w**2 + 24*w + 47. Let g be d(-17). What is the common denominator of (-1)\/y - 1086\/g and -27\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50952 (base 11) to base 12\nAnswer: -3703b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 91*t**3 - 2*t**2 + 9*t - 8. What is the remainder when 178 is divided by w(1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Suppose -7 = a*m - 23. Put m, -5, -2 in increasing order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 42420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 + -771\/4. Let m = -0.8 + 3.8. Which is the closest to -3? (a) -3 (b) g (c) 1\/3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-2) + (0 - -2). Let q = 10 + c. Suppose -100 = -q*u + 3*g, -2*u + 140 = 3*u + 5*g. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - t = -5*d + 15, 8 = -t - 3*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13961, -57869, -131719, -235511, -369245, -532921, -726539?\nAnswer: -950099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -3*y**2 + 143*y + 872. Determine i(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 1. Let b be l(-1). Let h(o) = -4*o - 4. What are the prime factors of h(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116211533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3276 - -3278. Let y(k) be the first derivative of -17 - 31\/3*k**3 + 0*k + 0*k**f. Let w(t) = t**2. Determine w(y(x)).\nAnswer: 961*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(0*i + i + 0*i) - 5 + 2*i + 5 - 2*i + 2*i + i + (-3 + 4 - 3)*(-4*i + 0*i + 3*i) + 3*i + i - 3*i + 0*i + 6*i - 5*i - 136*i - 52 + 52.\nAnswer: -128*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose 184 = n*g - 0*g. Let q = -61 + g. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647700 rounded to the nearest 10000?\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/88*(-2)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 2.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1538.9 - -1539. Let w = 19 - 15. Which is the closest to y? (a) 3\/5 (b) -1\/2 (c) w (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25224.339 minutes in hours?\nAnswer: 420.40565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udmd when four letters picked without replacement from {m: 7, u: 3, d: 4, z: 4}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 433 - 414. Solve -z*n = -24*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 7 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2793 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -828 + -25548?\nAnswer: -26275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 123. Calculate the least common multiple of v and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(15) + sqrt(105)\/(sqrt(14)\/sqrt(2)) + sqrt(15))\/(sqrt(33)\/(sqrt(33)\/sqrt(3))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 + -49 + -16 - 47) + (-12 - -2)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.04012 + -0.04012. What is the closest to i in -1\/7, -15, 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 9. Suppose 4*d + 130 = 2. Let p = d - -22. Calculate the remainder when 62 is divided by v(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -49. Calculate the common denominator of 1\/g*-18 - -1 and (-3 - -1) + 29\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141.2 + -117. Let d = r + -24. Suppose -6*h = -h - 2*z - 15, 0 = -2*h + 4*z + 6. Put d, 2, h, 6\/11 in descending order.\nAnswer: h, 2, 6\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.07 - 0.07. Let h = -12115\/2 - -62773\/10. Let v = h + -219. Which is the nearest to 4? (a) v (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468*(-101)\/(-909)*(-3)\/(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -782.\nAnswer: 4692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {l: 1, v: 1, x: 1, y: 1, o: 1, q: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-138861)\/(-6615))\/((-3)\/2 - 44\/(-56))?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-297))\/(-12 + 2136\/132)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.08?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 - 35*o**3 + 3*o**4 - 1 + 4*o**2 + 36*o**3 as z*o**2 + n + u*o + m*o**4 + r*o**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -884*g*t**2 - 4*g*t - 2*g - 15*t wrt t.\nAnswer: -1768*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5013 + 7364. What is the remainder when s is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 35 - 5. Calculate the smallest common multiple of r and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -8. Suppose -25 = x - q*x. Suppose -x - 40 = -5*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 19.01. Let p = -832625 - -832625.00999994. Let a = g - p. Round a to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(1*sqrt(171) - sqrt(171)))\/sqrt(3))\/((sqrt(24) - (sqrt(264)*2)\/sqrt(11) - sqrt(24))\/sqrt(8)) + 3 + 1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = o - 2*o + 58, -4*o = -3*y - 232. Suppose 0 = 34*i - 26*i - 48. What is the remainder when o is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263171910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 15*s - 58)*(-24*s + 4*s - 3*s).\nAnswer: -345*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1177*v - 7050. Give t(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 times -58214\nAnswer: 19210.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 17230331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2016 and 58176.\nAnswer: 407232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105504 and 4872?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*i + 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 + 182*a**2 - 188*a - 357. Give i(-92).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179967 is divided by 35987?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 88.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by ((-544)\/85)\/(1\/(45\/(-96)) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 23*f + 10. Suppose 4638 = 3*h + f*g + 1701, -h + 979 = g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014324 rounded to 4 decimal places?\nAnswer: 0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177502421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153443438?\nAnswer: 2, 47, 79, 20663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 628.8, 5, 7\/5, 34 in decreasing order.\nAnswer: 628.8, 34, 5, 7\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1515 = -80*l - 569*l - 10816 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*a - 119 = 0, -2*f - 143 = 3*f - 2*a. Let m(l) = 6*l**2 + 3*l + 2. Let r be m(-3). Let b = r - f. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/48 + 1539*1\/4. What is the greatest common factor of y and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28241728 is divided by 1485.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2 - (-29)\/15). Let d be 10\/g - (-29)\/9. Which is the second smallest value? (a) 4\/3 (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, -37, 1?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/84 and 13\/33?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/20538 or -1?\nAnswer: -11\/20538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let v be 0 - 25\/(0 + -5). Put -4, f, v in descending order.\nAnswer: v, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**3\/6 + z**2 - 306*z. Determine a(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1017*k - 973*k = 8844. What is the remainder when 304 is divided by k?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 15 - (21 - 37). Suppose 4*t**3 + 21*t**5 - 89\/2*t**4 + 0*t + 2*t**i + 0 = 0. What is t?\nAnswer: -1\/6, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 6 (c) 0.2 (d) 0.4029\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3 + 166 = 5*q, -3*s - 7 + 113 = -17*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394 + 624. Let t = f - 227. Let y = 0.01 + -0.09. What is the third biggest value in y, -3\/5, t?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2*-6*5.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -0.08.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 164700?\nAnswer: 164700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 0, -11 in increasing order.\nAnswer: -11, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 2 a when four letters picked without replacement from vyayfayyoaay.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -25. Suppose 13 = 2*i + v, -55 = -5*i - 2*v + n*v. Let y(o) = 4*o - 3*o - i*o. Calculate y(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 + 14211*p**4 - 17*p**3 - 15*p**2 + 2*p + 7.\nAnswer: -60*p**2 + 341064*p - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*9.72.\nAnswer: 11.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z - 176 + 57*z**2 - 2*z - 59*z**2 - 28 in the form a*z**2 + p + x*z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - f**2 + f. Let q be 56\/(-10) + (-12)\/30. Let y(r) = 5*r**3 - 6*r**2 + 4*r + 1. What is q*p(t) + y(t)?\nAnswer: -t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t = 31*t + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*p*s**2 + 5*p*s - 16*s wrt s.\nAnswer: 630*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187586363015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/30 and 83\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20f5 + 5?\nAnswer: -20f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.89440141 rounded to 3 dps?\nAnswer: 3.894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -4. Let r(q) = -q + 1. Let b(p) = -p + 1. Let h(j) = -4*b(j) + 5*r(j). List the prime factors of h(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3714\/8701 - 39\/77. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -67, 3, 0.08, 0.4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21189126 divided by 7063042\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31240812.\nAnswer: 2, 3, 2603401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 1927.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12711 - 12747 = 4*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 0 - (-28 + 25)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48*(9 - (264\/(-32) - -7)). Suppose 0*f + f = 3. Suppose -f*o + 654 = 4*c, 3*c + 3*o = -0*c + a. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/6 + (-5)\/(-15). Suppose 0 = -19*z - 10148 + 496. Let c = -508 - z. Solve l*x + 3 - 7 = c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -8391485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:49 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 2*y - 5*w + 116, 2*w = 2*y - 244. Let m(u) = -14*u**2 + y*u + 4*u**2 - 132*u. Let b(l) = -l**2 - l. What is -36*b(j) + 4*m(j)?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = 5*a, 0*a + 2*a = 3*k + 13. Is (4 - (-11)\/k)*1074 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -2*p, -5*w - p + 14 = p. Suppose w*h = -5*s + 59, 40 = 5*s - s - 2*h. Suppose -8*q + s*q = 537. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) - 50\/(-6). Suppose -2*f + 5*a + 14 = 0, -a - j = -4*f + f. What is the first derivative of -4 + 1 - f*k**3 + 5 wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**15*((h*h\/((h\/(h\/((h**(2\/25)\/h)\/h*h*h)))\/h*h))\/h)\/h)\/(h**(3\/17)\/h**(-17)) assuming h is positive.\nAnswer: h**(-959\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 345994251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*c - 515*c - 462*c - 944*c + (c - 2 + 2)*(4 - 3 + 1) - c - 2*c + 4*c as q + h*c and give h.\nAnswer: -1990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/9)*s)\/s**(-2))\/(s**(-2\/7)*s)**(-1\/14) assuming s is positive.\nAnswer: s**(3377\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/25080 and -89\/495?\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -956711*b**3 - 7209*b**2 - 9*b wrt b?\nAnswer: -5740266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 - d. Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -344 divided by 86\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + (-2)\/8. Suppose w - 24 + 8 = r. What is the remainder when w is divided by ((-18)\/(-2))\/(3\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2 + 1 - 4. Let g(p) = -2*p + 1 + p + 0*p. Suppose -123*i = -98*i + 75. Give i*o(x) - g(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 28526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -504, -1850, -4476, -8808, -15272, -24294, -36300?\n\"Answer: -71*f**3 - f**2 + 8*f + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -3. Suppose -2*k - k = -m. Suppose k*d - 2*d - 6 = 0, d = -4*r + 18. Solve -h - r = -l, -2*l + 2*h + 13 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71651 is divided by 1222?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2387573 - 3*m + m + 5*m - 2387573.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**4 - 305*a**3 - 242260*a**2 - 723900*a = 0.\nAnswer: -190, -3, 0, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 3, 1, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 i when three letters picked without replacement from iinckic.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174 is divided by 145.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(((-23)\/((-2415)\/(-220)))\/((-6)\/21)).\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 13 - 193. Let j = 9 - y. Let h be (-2)\/(-9) - 64\/j. What is the highest common factor of h and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 41*z - 5. Determine f(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111122 (base 3) in base 10?\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 + 0*f**3 - f**3 + (2*f**2 - 3*f**2 + 0*f**2)*(52*f - 256*f - 102*f).\nAnswer: 305*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-13))\/((-128)\/832)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -860148.04 to the nearest 10000.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 10 - -10 - -11) + 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**3 + g**3 + 0*g**3)*(-17*g + 8*g + 8*g) in the form m + w*g**2 + k*g**4 + r*g**3 + p*g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 20, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2809*z + 2813*z - 3, 4*z = 3*f - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1963 and 20969.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3 + 5. Let c be -3*(-3 + 4)\/(-1). Suppose k - 34 = -4*p + x, -p - c*x = -1. What is the least common multiple of 1 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11242, -43558, -97422, -172834, -269794?\n\"Answer: -10774*d**2 + 6*d - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 4492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 97.05338 grams?\nAnswer: 0.09705338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35923441 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: Suppose 0 = -3*p + 2*p - 175. Let r = 247 + p. Suppose -11 = -2*f + 39. What is the remainder when r is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-150))\/(16\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 10 = 6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {v: 2, c: 1, k: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than 0.250139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**2 + 10*q - 5*q + 2*q. Let x be w(-5). Calculate the common denominator of (-6)\/32*x\/(-12) and 55\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 3*y**2 - 3. Let w(o) = 48042227207*o + 4*o**3 - 48042227207*o + 11*o**2 + 11. Let l(p) = -5*p + 8. Let f be l(6). Determine f*s(d) - 6*w(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2034 and 9.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/14 - (-25)\/7. Let m = 8 - y. Solve m*a + a + 15 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 > 2112.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18\/13 - -59\/52. Let h = -19 + 14. Let v be h\/(-20) + 6\/8. Which is bigger: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 99*g - 182. Let t be m(2). Solve t*d - 30*d - 70 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -40, -2\/5 in ascending order.\nAnswer: -40, -2\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -74\nAnswer: 13\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*c**3 + c - 245*c**2 - 71*c**3 + c + 245*c**2.\nAnswer: -21*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -27. Suppose -d*l + 312 = -2*p, 629 = 4*l - p + 2*p. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1. Let p(c) = -3*c + 6. What is -p(v) - 4*y(v)?\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c - 17*c - 9*c + 1092 = 0 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1015 = 6*r - d, -2*d - 812 = -4*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 5. Let v be i(-10). Put v, -3, -1 in descending order.\nAnswer: -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:09 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let z(l) be the first derivative of -l**w + l - l + 3 + 2*l. Determine z(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/86852 and 67\/8.\nAnswer: 173704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 64. Let g be a(0). Let z = g - -116. Suppose -u + z = u. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (134\/(-30))\/(3\/(-423)). Let a = -627 + c. Calculate the common denominator of 3 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.067 or -169?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 41518 = 2*n, 0 = -7*j + 935*n - 936*n + 58136. List the prime factors of j.\nAnswer: 2, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 5*p**2 + 26*p + 23. Let g be b(-8). Put g, -5, 3 in decreasing order.\nAnswer: g, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v + 5*n = -3, -2*v - n + 2 = 0. What are the prime factors of (-3)\/9*-1695 - (v - 3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Let u(m) be the third derivative of -m**4\/12 + 5*m**3\/3 - 106*m**2. Determine u(b(n)).\nAnswer: -4*n + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4051 + -1658. Let o = -1653 + d. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1380 - 1357 = -22*i - 2693 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.9 - 9. Is o less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d)**(2\/15)\/(d*d**9)**39 assuming d is positive.\nAnswer: d**(-1168\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b)\/b**6*(b*b**(-8)\/b)\/(b**(-3\/8)\/b) assuming b is positive.\nAnswer: b**(-109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**2 - 23*b - 9. Let f be x(-6). Let q = 3 - f. Calculate the highest common factor of q and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -45130?\nAnswer: -45133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 3 - 11)\/2. Suppose 4*w + 8 = 5*i, 0 = 3*i - 5*w - 0 - 10. Suppose i*b = -b. Put b, 3, u in descending order.\nAnswer: 3, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 48\/5 of a minute?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13611 and 7059?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 93 - 28*s**2 + 20 - 35*s**2 - 20 + (-2 + 4 - 1)*(s**2 - 3*s**2 + 3*s**2) + 5*s - 4*s**2 - 5*s in the form q + a*s + j*s**2 and give j.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751750 is divided by 375695?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 - 15*g + 32. Let c(j) = -j**2. Let u(v) = -4*c(v) + z(v). Differentiate u(b) with respect to b.\nAnswer: -2*b - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -67, -177, -331?\n\"Answer: -22*b**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -271, -550, -831, -1114, -1399?\n\"Answer: -z**2 - 276*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbaxbabxabtxb. Give prob of picking 2 x and 2 b.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.375438856 to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14\/9 (b) -17\/4 (c) -3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -20735 and -311023\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 29*c - 136672 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/260814 and 93\/3042830.\nAnswer: 9128490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*t + 110*t - 2*t**2 - 672 - 625 - 2474*t**4 + 66 - 54*t wrt t.\nAnswer: -29688*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16416165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (192\/(-480))\/((-16)\/30)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 941 - 2*x - 937 - 3*x + 4*x to u + c*x + q*x**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59972233.\nAnswer: 4591, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(12 - 5)*(-2)\/(-4). Let z(v) = v + 1. Let c(p) = -3*p**3 + 6*p**2 - 12*p + 8. Let n(s) = b*c(s) - 3*z(s). Is n(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11742432.3 microseconds to days.\nAnswer: 0.00013590778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 32. Differentiate 6 - b - 2*q**3 - 4*q**3 with respect to q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by 4\nAnswer: -155\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 15 + (-5 - 18) - (-1 + 1)) + 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23931709 divided by 4.\nAnswer: 23931709\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4 + 18\/12)\/(-3). Suppose -4*n + 33 = 5*r - 4*r, k = 5*n + 4*r - 33. Suppose 0 = n*o - 14*o + 10. Put -19, -1, -5, o in increasing order.\nAnswer: -19, -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000148587 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1288622050263 plus 0.5?\nAnswer: 0.3711377949737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3225 (base 6) to base 13\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 81, -3\/19, -2\/15, -27, -46?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 880464 and 1326.\nAnswer: 880464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.3, -4, -1.2, -2.\nAnswer: -4, -2, -1.2, -2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1336*y**5 + 3*y + 93.\nAnswer: 26720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/3))**(-8)*(x*x\/((x\/x**(2\/3))\/x))**(-11\/4))**7 assuming x is positive.\nAnswer: x**(-266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 - 158.3. Let i = 2.7 - u. Let r = 5.99999916 + i. What is r rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 581, 4679, 15811, 37493, 73241, 126571, 200999?\n\"Answer: 586*k**3 + k**2 - 7*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -31, -56, -101, -172, -275?\n\"Answer: -v**3 - v**2 - v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**3 - i**3 + 14*i**3 + 6 - 2 to the form x*i + s + z*i**2 + k*i**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 51 = -2*w + 1, 0 = 14*i - 19*i + 3*w + 25 - 96 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 144*a + 1703. Let n be j(7). Which is greater: 2710 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960.7844 micrometers in kilometers?\nAnswer: 0.0000009607844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5107.959cm?\nAnswer: 0.05107959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z = 42. Suppose 4*r + z - 2 = 0. Let j(s) = 4*s**2 - s - 5. Let n(x) = 3*x**2 - 4. Determine r*n(h) + 2*j(h).\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x - 23 = -4*m, -4 = -2*m. Let f(q) = q**3 + 10*q**2 - q + 14. Let h be f(-6). Let c = h - 163. Sort 10, c, x.\nAnswer: x, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 5*q**4\/24 + 2*q**2 - 144. Let o = 24 + -17. Let l(y) = -8 + 1 + o - 4*y**2. Give n(l(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 65363.77313 to the nearest integer.\nAnswer: 65364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1. Let m(z) = 7*z**2 + z + 2. Give -2*d(r) + m(r).\nAnswer: 7*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-1 - 4 + 2)*(-3*j - 4*j + 3*j) + (0*j - j + 0*j)*(-4 + 3 + 3) to the form s + h*j and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*3\/(-6) - 3. Let v be s\/(-2) + (-3 - -1). Solve -5 = c - v*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.15, -4\/5, -5\/4, -4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - 408800\/24. Let a = y + 85033. What is a rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q + 4. Calculate h(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 0 + -3 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3904, -3936, -3996, -4084, -4200?\nAnswer: -4344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1467165 and 69080?\nAnswer: 129110520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 38*a**3 + 2*a**2 - 5*a. Let b(c) = 75*c**3 + 5*c**2 - 10*c. Give -2*b(i) + 5*t(i).\nAnswer: 40*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**3 + 27318*g**2 + 340824*g - 177242 = 0.\nAnswer: -6817, -13, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 42. Let f be 22\/24 - (-4)\/(-6). What is the smallest value in t, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2259 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = k + k + 28, 3*k - 84 = -2*b. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksp when three letters picked without replacement from nrknrpnnks?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17840 - 72*u + 17840 to the form p + q*u and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -232*486\nAnswer: -112752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-249)\/(-6)*(-1)\/3 and (-761)\/174 - (-216)\/54.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 18. Let o be -4 - -5 - 1\/((-11)\/(-9)). Which is the nearest to 1? (a) d (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68, -235, -512, -905, -1420, -2063?\n\"Answer: -w**3 - 49*w**2 - 13*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1586492*t + 4*t**3 - 1586421*t + 0*t**3 to the form f + g*t + q*t**3 + x*t**2 and give g.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 5*w - 15. Let o(v) = 3*v + 5. Let p be o(-4). Let g be m(p). Put 1, -5, g in descending order.\nAnswer: 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1104, -0.3, 169, 204?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 87. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u + 20. What is t(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0*x + 1 - x + 0*x. Let l = 1 - 6. What are the prime factors of r(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31024448 divided by -24352?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.306 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -0.0374275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -331*j**2 + 48650*j + 1033. Determine i(147).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 - 9588360*k**2 + 38353414*k - 28765056 = 0.\nAnswer: 1, 3, 4794176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/63*((-2093)\/78)\/(-23)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172089090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**3\/3 - z**2 + 30*z + 2915. What is f(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 9, 0, 127, 2\/7, 4300 in decreasing order.\nAnswer: 4300, 127, 9, 2\/7, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61.6 - -57. Let t = b - -0.6. What is the closest to 3 in 2, t, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*f**3*w - 10*f**3 - f**2 + 7486*f + 2528*w**3 wrt w.\nAnswer: 42*f**3 + 7584*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 994*j**2*z**2 - 2*j**2*z - 19*j**2 + 143*j*z**2 + 21*z wrt j.\nAnswer: 1988*z**2 - 4*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5776)\/9576 + (-16)\/(-18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/13))**(-1\/9) assuming f is positive.\nAnswer: f**(-5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 373\/3 - 8\/(-12). Suppose -h = 4*p - 17, -6*p + p + 13 = 4*h. Suppose -i + 2*i = 3*r - 68, -p*r + 4*i = -g. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/2 (b) 4 (c) -1683 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3418)\/(-1)*((-350)\/28 + 13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.62. Let v = 0.02 - w. Let k = 0.09 - -4.91. What is the biggest value in v, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + c - c + (-8 + 0 - 13)*(2*c**5 - c**5 + 0*c**5).\nAnswer: -23*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 55*y**2 - 26*y + 2. Determine g(-3).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 54.058. Let b = -6.442 - s. What is b rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - w - 287. Let x be q(0). Let i = 702 + x. Suppose 2*z - i = -c, c = -0*c + 5*z + 401. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 1 - sqrt(2299))*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2\/19 + 162106*i\/19 + 648392\/19 = 0.\nAnswer: -81049, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56577743 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10078798 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4063, -1, -273 in ascending order.\nAnswer: -273, -1, 4063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*p = -3, 36*p = -58*f + 62*f - 96 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3566566 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254380 + 254380 - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -5 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1330 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-6)\/(-24)*2\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1) - -13*(-21)\/91.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32143 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1814289 divided by 3\nAnswer: 604763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132209 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/3*((-848)\/(-3710))\/(28\/(-147)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 937, 1858, 2805, 3790, 4825, 5922, 7093?\n\"Answer: 2*m**3 + m**2 + 904*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 - 7*v**3 - 4*v**3 + 0*v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.07 + -0.07. Let j = -0.2113 - -0.1113. What is the closest to j in -0.1, m, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17965097.\nAnswer: 733, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*m - 52 = 0, 5*m + 3 + 2 = 0. Which is greater: q or 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1782)*4)\/sqrt(2)*-3)**2*-5.\nAnswer: -641520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 36*w + 4. Let o(z) = -z**2 + 37*z - 5. What is 5*g(x) + 4*o(x)?\nAnswer: x**2 - 32*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 16.98\nAnswer: 220.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(209) - sqrt(209)*2 - sqrt(209)) + sqrt(209)))\/(sqrt(1331) + (sqrt(1331) - (1*sqrt(1331) + sqrt(1331)) - sqrt(1331))).\nAnswer: sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087829 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 1. Let o be 25\/5 - (-1 - h). Suppose 0 = -o*m + 4 + 4. Solve 3*n + 4*g = 11, -m*n + 5*g - 6 = -0*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 50. Suppose 5*x + t = m*t + 7, 2*x - 2*t - 4 = 0. What is the units digit of 650\/39 - x\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1746 + -1744. Solve -m - 2 = i*s + 2, 2*m + 2 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -19*d - 24. Let h(s) = -s**3 - 7*s**2 - 7*s + 4. Let u be h(d). Suppose -u*l + 8270 = -120. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k**4 - k**4 - 5*k**4)*(-4 + 0 + 2) + (-2*k**2 - k**3 + 2*k**2)*(-2 + 2 + k) to y*k**4 + a*k + r + m*k**2 + b*k**3 and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55581\/37 - -1502. Let b = -22\/111 - o. Is b <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -5181?\nAnswer: 5191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 539 = 555. Let n(w) be the second derivative of 2*w - 1\/12*w**4 + 0*w**p + 0 - w**3. What is the second derivative of n(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 714.4 to the nearest 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2 - 6*l + l**2 - 9*l**2 - 3*l**3 - 3*l**2 = 0 for l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {c: 5, u: 1, z: 1, g: 2, x: 2, a: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 61833180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7*q. Solve -4*h = 5*c + 13, q = 3*c - 2*h + h + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*(-9)\/(-855)*-5.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, s: 6, u: 2}. Give prob of sequence usnu.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 51688*u**2 + 420*u + 793. Let k(i) = -11486*i**2 - 93*i - 176. Let b(w) = -5*j(w) - 22*k(w). Find the second derivative of b(r) wrt r.\nAnswer: -11496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*x + 8028 = -112*x. What are the prime factors of x?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10883578 + 3?\nAnswer: 10883582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 275*a**3 - 2*a**2 - a. Give v(-1).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/2 - 42391852*z + 84783702 = 0. What is z?\nAnswer: 2, 84783702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, h: 6, v: 8}. Give prob of picking 2 v and 1 m.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-5))\/(-138)*(-48)\/(-6)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7129, 5, 2, -16, -19, -3, -5 in descending order.\nAnswer: 7129, 5, 2, -3, -5, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**2 + 15*z + 140 = 0.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 7:12 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -16*t - 265. What is the hundreds digit of p(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 15 = 3*g, -2*l + g + 3*g + 16 = 0. Factor -12 - r - 59*r - 10*r**3 - 69*r**l - 17*r**3 + 6*r**3.\nAnswer: -3*(r + 1)*(r + 2)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1353*z + 142. Let a(r) = -2*r. Give a(c(u)).\nAnswer: 2706*u - 284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*l - 16 = 4*g - 539*l, g - 37*l + 154 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:47 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddudddu. Give prob of picking 1 u and 3 d.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**2 + 11 + x**3 - 2 + 16*x + 3*x**2 - 2*x**2. Let m be d(-11). Suppose -2*p + q = 18 - 111, 4*p - 4*q - m = 0. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haaa when four letters picked without replacement from {h: 2, w: 6, a: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -72.24. Let t(x) = x**2 - 12*x - 45. Let o be t(15). Sort o, 3\/4, u, 0.2.\nAnswer: u, o, 0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74985.2 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 4:18 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 11 = 4*c + 3, -3*a + 2 = -c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -555 + 625. What is the highest common factor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 25 = -5. Let f(g) = -9*g**2 + 5. Let u(t) be the first derivative of 2*t**3 - 3*t - 543. Let d = -16 + 8. Give d*u(l) + y*f(l).\nAnswer: -3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 8:51 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 0*u**3 - 15\/4*u**4 + 9\/8*u - 9\/8*u**5 + 0 + 15\/4*u**2 = 0.\nAnswer: -3, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -5, 4, -185?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 12 = v. Let o be (-2)\/(-3) - 2\/(-6). Let q be -3 + 5 + (o - 2). Sort q, 0, v in descending order.\nAnswer: v, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*r - r + 36*r**2 + 37*r**2 - 74*r**2.\nAnswer: -r**2 + 52*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 1 (b) 0.04 (c) -658158 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2517, 10107, 22757, 40467?\nAnswer: 63237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -85. Suppose -3*z + 2*n = s, -2*z + 3*z + 5 = 5*n. Are 2\/27 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 - 2*x + 6. Give n(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153 + 0.07?\nAnswer: 1153.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + 144 + -52 + 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6530353 and 8077?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1 (c) 1667 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.05 - 88.95. Let r = 2401.43 + -2311. Let m = p + r. What is m rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 2)*(-30)\/(-4). Suppose 11*d = 6*d + o. Suppose v - 30 = -4*b, -16 = -d*b - b. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-4) - (-153)\/12. Suppose 4*q = -0 + b. Let r = -529 - -543. Solve -r + 2 = q*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 17382274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103144?\nAnswer: 2, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47e - 28d24?\nAnswer: -28895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ac (base 15) to base 14\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 711.76 to the nearest 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167120 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148963.\nAnswer: 181, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13159.9 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 12078*p - 12074*p + 5*w, p = 3*w - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 409848 divided by -102462\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + 9 + -7 + -28 + 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 68 = -49. List the prime factors of (-12460)\/(-15) + d\/39.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000725 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 240*y**2 - 1508*y**2 - 4842*y**2 - 2622*y**2 + 1317*y**2 in the form b*y + f*y**2 + n and give f.\nAnswer: -7415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 8*c**2 - 11*c - 4. Suppose 5*x = 10, 5*u - 144*x - 14 = -141*x. Give b(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 y, and 1 m when four letters picked without replacement from {m: 6, w: 2, e: 1, y: 2, l: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/16)\/((-41)\/((-12464)\/(-6))*5\/9).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 3*p - 33, 290*c - 3*p = 293*c + 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a kilogram in grams?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6 = -8*k - 2*i, 0 = -5*k + i - 25. Let s = 590\/7 - 84. Which is the nearest to 2? (a) -2 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 103*f - 13 + 42 - 23 as b + n*f and give n.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14000 - -14086. Solve -297 = m*n - 119*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 3, y: 4, q: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (756\/144)\/((-10)\/(-11280)). What is the highest common divisor of 252 and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235294061, -470588123, -705882185?\nAnswer: -941176247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/72*-16*(-4)\/(-24).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2990\/(-39))\/(-46)*(-24)\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-1 - 1)*-1. Let d(j) = n - 3*j - 5 + 1 - 2. Let q be d(2). Are q and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*r = 30, 4*r - 75 = 5*j - r. Is -11 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222101210 (base 3) to base 8.\nAnswer: 45455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012 times 822.445?\nAnswer: 9.86934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/39 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5\/15 + 22*o**4\/3 - 586*o**3\/15 + 278*o**2\/5 - 24*o = 0?\nAnswer: -60, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((5\/(-35))\/((-30)\/35)). Sort -4, -3\/16, m in descending order.\nAnswer: -3\/16, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**6\/360 + y**5\/15 - 7*y**4\/24 + 134*y**3\/3 - 152. Let u(m) be the third derivative of c(m). Suppose u(x) = 0. Calculate x.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -11.8. What is the third biggest value in 5, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:22 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204.35674 * 0.04.\nAnswer: -8.1742696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 227*p**3\/2 + 2291*p**2 + 11770*p + 2100.\nAnswer: (p + 10)**2*(227*p + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 4*x**2 + x. Let l(u) = 3*u**3 + 9*u**2 - 3*u - 1. Let m(r) = -2*l(r) - 5*p(r). What is the lowest common multiple of 2 and m(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 597849 + -2.\nAnswer: 597847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 188*s + 380 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -0.187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 35, 141, 339, 659, 1131?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 3:48 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-12)\/(-9)*1. Let d(u) = -u**3 - 9*u**2 - 9*u - 8. Let f be d(z). Suppose f = 3*y - 2*s - 119, y = -5*s + 21 - 4. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 904, 880, 856, 832, 808, 784?\n\"Answer: -24*f + 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 373 + -371. Suppose -2*y - y + 2*m = -99, 0 = y + 2*m - 25. Let u = 43 - y. Sort u, 5, x in increasing order.\nAnswer: x, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 6. Let n(t) = -1611*t - 161. Let q(w) = -n(w) - 6*x(w). What is the derivative of q(o) wrt o?\nAnswer: 1605","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451 divided by -5.\nAnswer: 451\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11130031414 (base 5) to base 15\nAnswer: -113d074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218 - -272. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 4*v - 7. Give r(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1187 or -1185?\nAnswer: -1187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceekckecc. What is prob of picking 3 e and 1 k?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2299.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x + 6755 = 176*x + 93*x for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(110\/(-2896275))*(-1)\/(-27). Let v be -10734 + 3\/(-1) + 5. Let b = g - v. Calculate the common denominator of 74\/21 and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, -4 in decreasing order.\nAnswer: 4, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -202373 > -202307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13277950*g**3*r**2 + 9021*g**3*r + 2*g**3 + 8*g**2 - 16*g*r wrt r?\nAnswer: 26555900*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 4.9. What is the nearest to x in 0.7, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -26*z**3 + z**2 - 26*z + 24. What are the prime factors of t(-11)?\nAnswer: 3, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -32. Let r = -4 - k. Calculate the highest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*r - 61*k**3 + 40*k**2*r - 2*k**2 + 97*k*r - 2*k - 12*r + 1 wrt k.\nAnswer: -6*k*r - 366*k + 80*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7102*t**4 - 447430*t**3\/3 - 703126*t**2 + 859210*t + 484\/3 = 0 for t.\nAnswer: -11, -2\/10653, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 6*q**2 - 8*q - 2. Let l be u(-7). Find the third derivative of 2*h**2 - 3*h**l + h**2 + 5*h**5 + 0*h**2 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*v - 138*v = 48 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -2\/3 (c) -0.1 (d) -0.12 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from mcmmnncdndemnncnc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7860 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 3445 = 0. Let s = 475 - o. Let j = s - -401. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85\/3 - 28. Let q = -0.5 + 0.7. Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 26, -3, -1 in descending order.\nAnswer: 26, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**3 + 4*d**2 - 128*d - 339. What is the tens digit of u(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3, 11.9, -5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*w + 3*w - 10*w)*(3*w**4 - 2*w**4 + w**4 + (2*w**3 - w + w)*(3*w + w - 2*w)).\nAnswer: 24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -26*x. Let c(z) = -75*z**2. Determine q(c(k)).\nAnswer: 1950*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 3*m - 34. Let k be b(-8). Let g(t) = t**3 + 2*t**2 - 2*t. Let j(l) = 4*l**3 + 7*l**2 - 7*l. Give k*j(v) - 21*g(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 919\nAnswer: -4\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 11489\nAnswer: 20\/11489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 53*u**2 + 152*u - 619. Calculate k(-48).\nAnswer: 3605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213242.36 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -136, 2, -16 in descending order.\nAnswer: 2, -2, -4, -16, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*r - 16, 2*o + 2*r - 47 = -3*o. Which is the fourth biggest value? (a) -0.3 (b) -13 (c) -0.5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 - g**3 - 8*g - 8 - g + 20 - 10 in the form b*g**2 + c*g**3 + s*g + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 31*b**2 + 45*b + 102. Let o be z(-33). What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -692129*-1\nAnswer: 692129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33618720*-14.\nAnswer: 470662080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528 divided by 11.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11406 - 10018. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 2, f: 1, v: 4}. What is prob of sequence fzb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 30*m + 132. Give h(-7).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s**3 - 4*s**2 - 3. Let o(r) = -r**3. Let z(q) = k(q) + 6*o(q). Let f be z(4). Let b = f + 5. Solve b = -3*u - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -1)\/(2 - 0). Let u = -40.1 + 42. Let z = u + -2. Which is the nearest to z? (a) 2\/13 (b) 1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 - 8)*(3*v - 2*v + v)*(-4 + 2 + 0)*(1 - 2 + 2).\nAnswer: 72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.1792177 - -1.1785877. Let w = p - -51. What is w rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 50*f**2 + 117*f - 115. Calculate the remainder when 713 is divided by v(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in -0.1, -3, 28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5598.1521 from -0.5.\nAnswer: 5597.6521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 3437\nAnswer: -1718.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122*(-1)\/170 - (-3)\/(-5)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41309868*n**2 - 54824*n - 6 wrt n?\nAnswer: -82619736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -73*x**7\/420 - 5*x**4\/8 - 51*x**3 - 118. Let v(a) be the third derivative of r(a). Differentiate v(p) with respect to p.\nAnswer: -438*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -7. Let a(p) be the third derivative of -1\/30*p**5 + 0*p + 0*p**4 + 2*p**2 + c + 1\/3*p**3. Factor a(l).\nAnswer: -2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399320880 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295354547 to the power of 1\/4, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242.18591 - 10.\nAnswer: -252.18591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjcjajcpapapja. Give prob of sequence ca.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 2:33 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 2*y**4 + 4*y**3)*(-877 - 855 - 437).\nAnswer: -4338*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 4*j - 2*j)*(-4 + 1 + 4)*(-35*j**2 + 16*j**2 + 18*j**2 + 6 + 3*j) in the form n*j + u + g*j**2 + l*j**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -33*o - 22. Is 22 a factor of j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 18 - 3. Suppose p + 11 = -3*d, 4*p + h*d + 4 + 4 = 0. Solve k - p = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 258428939*n**2 + 3 - 258428934*n**2.\nAnswer: 5*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.0757 + 1.0757. Sort -0.18, 2\/9, -2\/5, -0.2, u in descending order.\nAnswer: 2\/9, -0.18, -0.2, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727*u - 446 + 11966 = -50206 - 3704 for u.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/20 + 2*h**4\/3 - 6*h**2 + 7*h. Is 10 a factor of u(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 3*sqrt(19)*-4 + (-6*sqrt(76) + sqrt(57)\/(sqrt(3) + sqrt(12)\/sqrt(4)))**2).\nAnswer: -30105\/2 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2855 - 2854. Which is the closest to r? (a) -2\/7 (b) 6 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 (base 5) in base 10?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.06, 2, -5, -137?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(-5 - 13 + 8)*(-4*u + 2*u - u).\nAnswer: -150*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1690)\/100 + (29 - 5238\/180).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12294152.\nAnswer: 2, 13, 118213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y + 8. Let d be g(6). Let p be d\/(-22)*4\/(-10). Which is the smallest value? (a) 2\/11 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 31*i**6\/120 + i**5\/15 - i**4\/6 + i**3\/3 - 6*i**2. Let s be t(5). Suppose -156 + s = 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9 = -3*y, z - 2*y + 6*y - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(-4*y + 3*y + 0*y)*(-5003 + 189*y**2 + 5003) to the form n + l*y**3 + j*y**2 + b*y and give l.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*x + 75*x + 14536 = -91*x - 839 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -12.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 2)\/((-376)\/(-282)). What is the nearest to -30 in 5, 6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by (7 - (5 - 5)) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2140\/9 - -238. Let f = -2 + 2.2. Let p = f - 0.4. Sort s, p, -3.\nAnswer: -3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + a + 4*a)*(-6*a**2 + 3*a**4 + 6*a**2 + (0 + 0 + a)*(0*a**3 - 2*a**3 + 4*a**3) + 2*a**4 + 2*a**4 - 5*a**4).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(3\/6). Let m(j) = -9 + 30*j - 2*j**2 + 22*j**2 - 8*j - j**z. Is m(21) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2945*q**5 + 11870*q**4 + 360*q**3 - 47120*q**2 - 48560*q - 1440 = 0?\nAnswer: -2, -18\/589, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 530438925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243212592?\nAnswer: 2, 3, 7, 47, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**2 + 1156340*l - 2312660 = 0.\nAnswer: 2, 231266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17 + -0.47. Let h = -0.23 + 1.13. Let v be (-23)\/(-161)*(-2 + (-15)\/10). Which is the closest to h? (a) w (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120121122201211 (base 3) to base 16\nAnswer: 7ea3cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 14*t**2 + 1374*t + 198. Let b be a(-98). Let r(v) be the first derivative of -18 - 4*v - 4\/3*v**3 - 5*v**b. Factor r(q).\nAnswer: -2*(q + 2)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*k - k, -50 = -5*o + 5*k. Suppose 2 = 3*m + o*g - 19, 14 = 2*m + 3*g. Let c be -1*0\/1 + 1. Calculate the greatest common divisor of c and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 2. Let d be r(-3). Let f(c) = 11*c - 11. Let m be f(d). What is the greatest common divisor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -1\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*(-6)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 20*t**2 + 15. Let i be v(20). Let u be -2*(-4 - i\/(-6)). Solve -u*h + 4*h = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11506 + -258.4?\nAnswer: -11764.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 4*o**2 + 5*o + 4. Let g be u(-3). Let p = 3 + g. Let m = 1 + -1.3. Which is the second smallest value? (a) -2 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - (-4)\/2) + -2. Suppose -d*l = -0*l - 20. Suppose -p + l*p - 36 = 0. What is the remainder when 22 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:15 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9*o - 205 = 0, 62*o - 42 = -4*s + 57*o. What is the remainder when 195*4*2\/20 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/12 + 8*d**3\/3 - 23*d**2 - 10*d. What is n(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131263 (base 7) to base 14.\nAnswer: 8cda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*k - 21*k - k**2 + (-1766 + 887 + 882)*(2*k - 2*k - 2*k**2) + (-2*k - 2*k + 2*k)*(3*k - 1 + 3 - k) to a + m*k + l*k**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 7. Let f(v) = -v**2 - 2*v + 11. Let k be f(-3). Let p(q) = q**2 - 17*q + 79. Let d be p(k). Let u(j) = 3*j - 15. Give d*b(l) + 3*u(l).\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -43 + 210 + -117.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otgtgtgggot. Give prob of sequence otto.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 20. Let j be u(-7). Let z = j + -39. Solve c - 5*x - 23 = 0, 4*c + z*x + 16 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 286052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3.81 (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1998ed0 - 5?\nAnswer: -1998ed5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/6*-12*19\/(-2052)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 817383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 20 + 4 = 4*b, -b - 13 = 4*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99443.\nAnswer: 277, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2566 = 98 - 588. What are the prime factors of y?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 80, 0.3, 4, 1\/2, 3\/2?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.4. Let k = 0.1 - p. Let z = 264 - 264.1. Which is the closest to z? (a) k (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -10. Let o = g - 9. Let b = -14 - o. Put -2\/11, 0.5, b in descending order.\nAnswer: 0.5, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/851 or -1?\nAnswer: 2\/851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:50 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 1, a: 2, l: 8, v: 7}. What is prob of sequence xa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -29*x. Let r(q) = 132*q. What is r(y(h))?\nAnswer: -3828*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 3. Find the second derivative of 35*p**2 - 1 - 39*p**2 - 59*p**g + 4*p + 67*p**4 wrt p.\nAnswer: 96*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + 27. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1379830.7*-0.1.\nAnswer: 137983.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150353324717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34067 (base 8) to base 11.\nAnswer: -a8a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/109, -0.0601, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -8*u - 78. Solve -3*t = -8*t + u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1064311*q**5 - 315158*q?\nAnswer: -21286220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213 (base 4) in base 6?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -64*p**2 - 8*p - 140. Let k be x(-30). What is k rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(-2) + (-15)\/10. Let k(u) = u**3 - 8*u**2 + u - 5. Let t be k(g). Find the third derivative of -a**2 + 4*a**5 - t*a**5 - 2*a**2 wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 4. Suppose 5*z + 13 = 4*x, 4*x - z + j = 13. Let q(d) = d - d - d**x. Let r(t) = -2*t. Determine r(q(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 6. Let q be c(7). Let i = 169 + -166. Suppose -q = -7*b + i*b. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-114)\/(-1710))\/(2\/2 + 26\/(-20)). Sort 1\/3, f, -3\/5 in descending order.\nAnswer: 1\/3, f, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7578193000 to the nearest one million.\nAnswer: -7578000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 8:01 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m - 2*p = 4613, 0 = -4*p + 20. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7}. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 - 0.34?\nAnswer: -77.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57727 - 30652973\/531. Calculate the common denominator of h and 29\/51.\nAnswer: 9027","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3128 and 2461?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -150? (a) -4\/9 (b) 57 (c) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.66 + 1.14. Let b = -990 - -1030. Let q = b - d. Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 619848.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-15)*(-15)\/(-6). Suppose 2*p + l + 1 = 0, -2*p = z + 46. Let o = -29 - z. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 1\/2, 20260, -1, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 20. Let j(l) = -l**2 + 2*l. Let x(o) = -o**2 + 3*o. Let d(u) = n*j(u) - 2*x(u). Let k(b) = 10*b**2 + 8*b**2 - 6*b**2. Give k(d(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106274787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1560 by -312.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 133*p - 15909. Calculate the remainder when (-1506)\/(-15) - (-4)\/(-10) is divided by t(120).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4295 - 30146\/7. Let l = c + 299\/21. Find the common denominator of -149\/36 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcscllcflllccsss. Give prob of picking 2 l.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42810 smaller than 42802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppvvvpv. What is prob of sequence pv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6788262 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9446*a**2*i**3 + 100*a**2*i**2*s + a*i**3 - 325068*i**3*s - 244*i**3 with respect to s.\nAnswer: 100*a**2*i**2 - 325068*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102)*1 - sqrt(102) - sqrt(102))*-6 + 2*sqrt(102)*1)\/(((sqrt(24) - sqrt(216)) + sqrt(24))*5).\nAnswer: -9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9326 - 8901 = -513*t - 785 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**3 + 86*i**4 - 2 + 7*i**3 + 144*i**4 + 59*i**4 to the form c*i**3 + d*i + j*i**2 + p + x*i**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m*m)**(-2\/7)*m*m\/m**(-4\/7)*m*m*m**(-1\/6)*(m**(2\/15)\/m)\/m*m**(-2\/7)*m**(-4)*m*m\/(m\/m**5) assuming m is positive.\nAnswer: m**(953\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -107*w + 73. What is k(1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60960184?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**2 - i**3 + (0*i**2 + i**2 - 3*i**2)*(3*i + i - 2*i) + i**2 - i**2 - i**3 + 3*i**3 + 6*i**3 - 11*i**3 + 11*i.\nAnswer: -8*i**3 + 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -157.9 less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76 + 8 - 21)*(5*t**2 - 3*t**2 - 3*t**2) to h*t + i + b*t**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1064491 + 16.199.\nAnswer: -1064474.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/120 and 7\/352.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 589*b + 56281. Calculate y(-120).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 94. Let w be (-9)\/m - (1505\/(-65))\/7. What is the second smallest value in 5, w, -2, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/8*(104\/(-4) + -3 + 18 + 3).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 1036*a**2 + a\/4 + 1036.\nAnswer: -(a - 1)*(a + 1)*(a + 4144)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1032230?\nAnswer: 1032220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 + (-48 - -37).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-196)*-6*952\/306.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -899 divided by -29\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/49*(294\/(-44))\/21.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 0*y = -2*h + 26, 2*y - 28252*h + 28248*h = -28 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, -4, -184, -0.2 in increasing order.\nAnswer: -184, -4, -0.2, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 30 = 5*f - 12*d, 0 = 2*f + 4*d + 6. Find the first derivative of 11*g**3 - 5*g**f + 12 + 17*g**3 wrt g.\nAnswer: 69*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhoh. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-2765)\/(-440)) + (-123)\/(-328).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-2484)\/(-1863)*(-1)\/((-3)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**2 - 4*p - 1. Let b = 32 - 36. Let s be r(b). Suppose -2*u - s = -3*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 + -0.15. Let r = 37145 - 37140. What is the nearest to 1 in 0.4, r, -2\/3, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -28*j**3 - 10*j**2 - 33*j - 19. Let g(r) = -15*r**3 - 5*r**2 - 17*r - 11. Let x(l) = 15*g(l) - 8*i(l). What is x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2223 + 3561. Suppose -21*k - p = -25*k. Is k less than 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 867 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -14.482 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 14966758*w\/7 + 14966760\/7.\nAnswer: -2*(w - 7483380)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 3:14 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*u - 11, u - 16 = -3*k + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, -37, -74, -133, -220, -341?\n\"Answer: -t**3 - 2*t**2 - 8*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 149 = -141. Let r = 73 - 70. Solve -s*f + x = 9, f + x = -r*x + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008*z + 339*z = -197*z + 18528 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-131 + -4)\/(-3) - 1. Let g = v - 33. What is the remainder when 29 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -13 (b) -93\/2 (c) 152 (d) -2\/17 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 264*f**3 + 15*f - 95. Let l(y) = -529*y**3 - 33*y + 190. Let j(z) = 4*l(z) + 9*x(z). Find the second derivative of j(d) wrt d.\nAnswer: 1560*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 424 (b) -1\/16 (c) -2\/9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*d + 2922 = -106*d - 942 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/77)*(h\/(h\/h**(16\/3)))\/h*h)\/(h\/((h\/h**1*h)\/h))**(-16) assuming h is positive.\nAnswer: h**(4934\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/1156860 and 127\/5668614.\nAnswer: 56686140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*r**4 + 6377 + r - 12751 + 6375 in the form k*r**3 + l*r**4 + x*r**2 + a + b*r and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -16.5\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 - 6 = 0. Suppose 2*p + 3*c = 9, -3*c = p + w*p - 12. What is the units digit of 46*(7\/2 - p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*n + 2, 0 = -5*p + 4 + 1. Suppose 0 = 3*h + 14 - 5, n = -3*s - h + 81. Calculate the highest common divisor of 16 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 760055, 760083, 760129, 760193, 760275, 760375, 760493?\nAnswer: 760629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3015 divided by 3015\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 1. Suppose -5*j + 3*b = 6, 5*j + 2*b + 0*b = 4. Suppose -5*t = -5 - j, 2*t = 3*o - 10. Let r = 3 - o. What is h(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022270?\nAnswer: 2, 5, 151, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2 and -51\/298.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 3:27 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*b**2*d*r**3 + 9*b**2*r**5 + 5*b**2*r**2 + 2*b**2*r + b*d - 4*d*r wrt r.\nAnswer: -126*b**2*d + 540*b**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 7, z: 4, v: 5}. Give prob of picking 1 v and 1 m.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54228, -108455, -162694, -216951, -271232, -325543, -379890, -434279?\nAnswer: -488716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.05, 48, -11, 0.4, -3, 3\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-28194.\nAnswer: -451104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -72, -138, -186, -210, -204?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/4)\/(2\/8). Let v = 61 - b. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*m**4 - 5126*m**2 + 0*m**3 + 5257*m**2 + 754 + m**4 + 2*m**3 wrt m?\nAnswer: -32*m**3 + 6*m**2 + 262*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d. Let z(n) = 337*n. Calculate w(z(r)).\nAnswer: -3033*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1))**(-1\/39)*c**(-2)*c**(4\/7))\/(c**(1\/3)\/c**7*c\/c**(2\/5)*c*((((c**(-1\/2)\/c)\/c)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(1919\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 82*i + 1. Let z be h(2). Let g(o) = -158*o - 1409. Calculate the lowest common multiple of g(-9) and (2\/(-6))\/((-5)\/z).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 16532?\nAnswer: 16532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*w**5 + 0 - 1\/7*w**4 + 0*w**2 + 0*w + 2\/7*w**3.\nAnswer: -w**3*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + ((sqrt(209) + sqrt(209)*3)*-5)\/(5*sqrt(22)\/sqrt(2)))**2.\nAnswer: -8*sqrt(19) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16736 is divided by 124.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 97312.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -108, -3, 1, 0, -5 in decreasing order.\nAnswer: 1, 0, -3, -5, -16, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 8. Let l be j(-6). Let f(d) = -3*d**2 + 1. Let g be f(2). Let r be (-48)\/(-22) + l\/g. Solve -3*x + r*x = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*u - 4*x, 3*u - 4 - 1 = x. Let i(v) be the first derivative of v**2 - 7*v**u + 9 + 7*v**2 + 4*v. Calculate i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/7*b - 6\/7*b**3 + 3\/7*b**4 - 75\/7*b**2 + 72\/7 = 0.\nAnswer: -4, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6628989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by -19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0755217 to 3 decimal places.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.1. Let v = -2325 + 2325.7. Sort v, 3, k in decreasing order.\nAnswer: 3, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -247?\nAnswer: -5\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 19. Let g(o) = -2*o + 19. Let a(r) = -4 - 5 - 10 - 3*r + 1. Let q be a(-5). Let m(f) = q*c(f) - 2*g(f). Differentiate m(v) with respect to v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:58 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7776 and 23220864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(sqrt(153) + 3)*6)**2.\nAnswer: 93312*sqrt(17) + 839808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -6. What is the remainder when (-1*4)\/(u\/7) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -100111110111011?\nAnswer: -100111111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*z - 5 = -5*m + 163*z, 4 = -4*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r + 2*r - 2 + 2 - 2*r + r + r - r + (-4 + 0 + 2)*(3*r + 2*r - 6*r) - r + 0 + 0 + 4 - 4 + 3*r - r + 2 - 2 - 3*r + 0*r + 11*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -217421 - -3?\nAnswer: -217416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60627, -54448, -48269, -42090?\nAnswer: -35911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-1 - (-6 + -5 + 12))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2489 - 1862. Is o a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 46*y**2 + 102*y - 229. List the prime factors of z(18).\nAnswer: 11, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3.95. Let u = 1.95 + b. Let n = -1.6 + u. What is the closest to 1 in 1, 0.3, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**4\/24 + x**2\/2 - 1. Let h(f) be the second derivative of z(f). Let m(o) = o**2. What is h(m(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(6))\/sqrt(8)*4 + -1.\nAnswer: -1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/6 + f**4 + 47*f**3\/3 - 10*f**2\/3 - 87*f\/2 + 91\/3 = 0. Calculate f.\nAnswer: -7, -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 545 and 436.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 187?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135392 is divided by 6711?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1423 (base 6) to base 16.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cegeecgeezeg. What is prob of picking 1 z, 1 e, and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfdlfycb. What is prob of sequence yd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(-6*sqrt(200)*-2 + (sqrt(200) - (4*(sqrt(200) + 0) + sqrt(200)) - sqrt(200)) + sqrt(200) + sqrt(200))*-4)**2.\nAnswer: 9331197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -126, -205, -300, -417, -562?\n\"Answer: -i**3 + i**2 - 65*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 344*z - 341. Let l be o(1). What is the closest to -1 in -2\/13, 5, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6)*6*3\/(-48). Let r = 5 + -4. What is the third smallest value in j, 3\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*f - 16 = 0, -77 + 193 - 112 = -l - 4*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 + -7 - (7 + -8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 95. Suppose d = -m - 4*m. List the prime factors of (2 - m\/1)*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 7 - 34. Suppose -12 - 2 = -5*i + 4*j, 0 = -4*i + j + z. Let d be 19 + -4 + 2 - 4\/i. Solve d = -x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30437245 is divided by 869635?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j + 1. Let c(d) = -5*d**3 - 10*d**2 + 10*d - 4. Let t(n) = -c(n) - 4*w(n). Let m(z) = -z**3 - z**2 + z. What is -6*m(f) - t(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -11*c**2 - 11*c + 19. Let v(j) = -5*j**2 - 6*j + 9. Determine 6*k(a) - 13*v(a).\nAnswer: -a**2 + 12*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbyyyybyxbbxbyy. What is prob of sequence xbyx?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*((q**12*q)\/q)\/q)\/q)**(-9\/2)\/(q\/(q\/(q**(-8\/7)\/q)))**(-11\/6) assuming q is positive.\nAnswer: q**(-811\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 9*p - 5. Let q be u(-6). Suppose -q*g + 25 = -12*g. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + j**2 - 5*j**2 + 1422*j - 1421*j - 169*j**3 + 4*j**2 - j**4 to the form b*j**4 + t + s*j**2 + z*j**3 + a*j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -10*n + 1. Let x(g) be the third derivative of -5*g**4\/12 + 8291*g**2. Determine x(m(w)).\nAnswer: 100*w - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 179295824389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d**2. Let t(p) be the first derivative of -2*p**3\/3 - 2. Determine s(t(v)).\nAnswer: 92*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*y**3\/5 + 9*y**2 + 32*y\/5 + 4\/5.\nAnswer: -(y - 1)*(9*y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3 + 811*l**2 + 3989*l.\nAnswer: -6*l + 1622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let x be -2 + 3 + 2 + 1 + -2. Suppose 4 - x = -y, y + 37 = -5*l. Determine c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.48 - 62.53. Let u = 43 + j. What is u rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1626 + 1626. Solve u = 83*s - 85*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9912*-502.9.\nAnswer: 4984744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-17 + 46) - -73.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + -10.55. Let b = 9.894 + w. Let a = b - -0.51. Round a to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*m + 59 - 59 - 43*m - 11*m + 25*m + (1 + 2 - 2)*(m + 2*m - 5*m) + (-1 - 3 + 2)*(1 - 1 - m) to the form n*m + x and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 53, -3, 26, 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -5. Suppose -5*x = -3*r + 24, r + l = 3*x - 5*x. Let z(u) = -u**3 + 4*u**2 - u - 6. Let i be z(r). Solve i = -4*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0524 take away 0.1?\nAnswer: -0.0476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510239731.\nAnswer: 37, 13790263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**6\/3 + 141*p**4\/4 + 205*p**2\/2 - p + 829. What is the second derivative of w(a) wrt a?\nAnswer: -40*a**3 + 846*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891*b = -3*a + 886*b + 6, 0 = 5*a + 5*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51514 - 3?\nAnswer: 51511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 10*h - 247. Let w = h - 17. Solve 3*p = -3*z + 6, 5*z - w*p - 10 = -p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 82*i**2 - 160*i - 608. What is f(84)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -89, -116, -133, -140?\n\"Answer: 5*o**2 - 52*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5375 is divided by 158.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8\/i**(-5)*(i*i**0\/i)**(30\/7) assuming i is positive.\nAnswer: i**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2681435.\nAnswer: 5, 536287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1200*f**4 + 2189*f**4 + 86762*f**4 - 685*f**4 + (4 - 2 + 0)*(0*f**4 - 3*f**4 + 2*f**4) to the form o*f**3 + r*f + x*f**4 + d + q*f**2 and give x.\nAnswer: 87064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7697 - -7697.00004851. Round w to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*sqrt(77)*2*-6)\/(sqrt(110)\/(-3*sqrt(10)) - (sqrt(11) - (sqrt(77)\/(sqrt(21)\/sqrt(3)) + sqrt(11)))).\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37327 - 37326. Sort 3, z, -414 in decreasing order.\nAnswer: 3, z, -414","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -128 + 11*f - 15*f + 45 + 654. Is m(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -66. Let y = 61.00000029 + x. Round y to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:46 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 101*m + 3439. Determine c(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-21) - (-2147)\/3. Suppose 3*b - 8101 = -4*n, -3*n + 4684 = 2*b - i. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 9*b. Let c(a) = 2*a**2 - 9*a. Determine -2*c(j) - 3*p(j).\nAnswer: 2*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 4041*a - 4057*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 5434?\nAnswer: -5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.65? (a) -2 (b) -1.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -8\/13*w - 3\/13*w**2 + 2\/39*w**3 + 25. Let t(o) = 0. What is o?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154 - 160. Suppose -4*j + 26 = -3*y, -y = -2*j + 7 + 5. Put y, 2, n in ascending order.\nAnswer: n, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2858*h**5 + 235439*h**2 wrt h?\nAnswer: 171480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*y**3 + 2*y - 2 + 3*y**2 - 16*y**4 + 17*y**4 - 4*y**2 - 21*y**3 + 0 in the form n*y**4 + r*y + t*y**2 + w + z*y**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i + 19*i - 7 = -4*z, -3*i = -5*z + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 243 + -215. Let w be q\/((-32)\/8) - 1. Let a(k) = -4*k**2 + 9*k - 1. Let n(f) = f**2 - f. Let v(t) = -a(t) - 5*n(t). Determine v(w).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 771, 1215, 1663, 2115, 2571, 3031?\n\"Answer: 2*x**2 + 438*x + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24477 = 1246*f - 3897*f - 21880 + 42470 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d**4 - 28*d**3 + 24*d**2 + 5*d - 5. Let p(f) = 13*f**4 + 30*f**3 - 25*f**2 - 6*f + 6. Let v(z) = 6*c(z) + 5*p(z). Factor v(l).\nAnswer: -l**2*(l - 1)*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlgrless. Give prob of sequence rlre.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40400.78mg to nanograms.\nAnswer: 40400780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2 + 0 - 4*l**2 + 4*l + 8*l**2 + 0*l**2. Let u be i(-4). Let p = u + -8. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129408 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (227\/2043)\/((-50)\/60).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1881888121 and 4.249?\nAnswer: 1881888125.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 122, 152, 164, 152, 110, 32, -88, -256?\n\"Answer: -j**3 - 3*j**2 + 46*j + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 2b2?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2150\/7 <= -1711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 106, 4, -4 in decreasing order.\nAnswer: 106, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -j, 4 = 5*a + 3*j - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3035 divided by 3462.\nAnswer: -3035\/3462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (-2 - (0 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 3*c**2 - 4*c + 2. Let d be z(4). Let s = 55 - d. Suppose 4*o - 3*w - s = 0, o = -o - 5*w + 33. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 2*y - m + 6*m, -2*y + 2*m = 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d - 94 + 94.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**5\/7 + 36*t**4 + 260*t**3\/7 - 36*t**2 - 256*t\/7 = 0.\nAnswer: -1, 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -4*k + 12, 19*k - 4353 = -5*u - 4310 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 261765, -2\/5, -1 in increasing order.\nAnswer: -1, -2\/5, 0.1, 261765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - -1101?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -10*b + 135. Let u(d) = d - 9. Let x(q) = t(q) + 15*u(q). Let m(k) = k. Let a(r) = -16*r. Let z(l) = a(l) + 3*m(l). Calculate x(z(v)).\nAnswer: -65*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9287, 16571, 23855, 31139?\n\"Answer: 7284*r + 2003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 11. Let x(i) be the first derivative of -10*i**3\/3 - 4*i**2 - 22*i - 20. Let y(n) = -3*n**2 - 3*n - 7. Let q(j) = 2*x(j) - 7*y(j). Determine q(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {j: 7, w: 8, y: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0736844km in meters?\nAnswer: 73.6844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.103 + -2.703. Let l = -6.6 - x. Put -1, 1, 3, l in ascending order.\nAnswer: l, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**3 + 2*r - 1 - r**2 + 10*r**3 + 0*r + 7*r**3. Suppose 0 = -9*d - 3*d + 24. What is the units digit of p(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*t = 2795 + 1893 + 10748 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 6*y - 9. Let b be p(-8). Suppose 3*l = 4*h - 97, h + 5*l + 0 = b. Calculate the greatest common factor of h and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37998.\nAnswer: 2, 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -792*v - 16 = -796*v. Let q(b) = -13*b + 20. Let m(l) = -6*l + 10. Determine v*q(t) - 9*m(t).\nAnswer: 2*t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14670 is divided by 319.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -1 - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4 - 6. Let x = 4 - 1. Let f = 7 - x. Which is the second biggest value? (a) -2\/13 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109\/10 or -29?\nAnswer: 109\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2007 + 2022.072. Round r to 1 decimal place.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304615 is divided by 101505?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 397 - 514 + 106 - 11*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282 - -284. Solve -4*o - 4 = -2*u - 2*u, -j*o - 14 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228366 - 228248.053. Let l = k + -118. Let v = l - -0.553. What is the closest to -3 in -3\/7, v, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 715?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d - 30. Let f = 3 + d. What is the remainder when 25 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and 561547?\nAnswer: 561540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4934768?\nAnswer: 2, 308423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 45*p + 70.\nAnswer: 5*(p + 2)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 517 - 514. Solve 14 = -d - 5*y, 2*d + n*d + 2*y + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47883273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27261?\nAnswer: 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12)*(-24)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.055458ms?\nAnswer: 0.0001009243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41239 is divided by 17483.\nAnswer: 6273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggwjbjgjgjjjjgebje. Give prob of picking 1 w, 1 b, and 1 g.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290237430?\nAnswer: 2, 3, 5, 7, 17, 81299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479234 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 1, a: 1, o: 1, d: 1}. Give prob of sequence od.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 31459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-260)\/13)\/1 - 518\/(-14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 664319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.278847 + 0.678832. Let h = b + 6.6. Round h to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 0.4, -0.03, -217, -0.5, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1144*n**2. Let k(v) = v. Calculate k(f(b)).\nAnswer: 1144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009673 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1239 (base 13) to base 9\nAnswer: -3480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 357 - 329 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 - 140 = 6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -248\/7 - -2501\/70. Let b = -583\/1168 - 1\/1168. Which is greater: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k. Suppose 0*d = 3*d - 4*s, 0 = 5*d + 5*s + 35. Let m(h) = -h**2 - h + 1. Let v(q) = -6*q**2 - 4*q + 4. Let a(t) = d*m(t) + v(t). Give u(a(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 13*m**2 + 11*m + 4. Let u = -25 + 42. Let c be x(u). Let q = c + 1355. What is q rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 2 - (0 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 8*z**2 + z - 9. Let x be h(8). Let r = -0.1 + 0.1. What is the closest to r in x, -3\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 6.87?\nAnswer: -2.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79104749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82733112 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7458 or -7456?\nAnswer: -7456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 - 15*h + 2 + 1 - 18*h.\nAnswer: -33*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(567) + -5)**2*5.\nAnswer: -1350*sqrt(7) + 25640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1846385046 to the nearest 1000000.\nAnswer: -1846000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57 and 5.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.55 - 87.55. Let a = -80.08 + 1.08. Let o = a - d. Put -3, 0, o, -3\/5 in descending order.\nAnswer: o, 0, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 7*x - 5. Let r be g(-6). Suppose -j = o - 5*j, -j = -r. What is the remainder when (-52)\/(-4 - 0) + o is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = m - 202 - 547, 0 = 4*u - 3*m - 1483. Let t = u - 186. Does 21 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*h - 191*h - 496*h - 5 + 5 as g + u*h and give u.\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30508 minus -2.4421571489?\nAnswer: 2.1370771489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 588 = 3*j - 650, -5*j - k - 146 = 7*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -582.4 + 565.4. Which is smaller: 37 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157 and 2512?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-119)\/(-5) - 76\/95)\/((-4)\/(-4))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66121446 and -13?\nAnswer: 859578798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -2\/9, 2, 0.08, 2472?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 - (-13 - (-6 + -9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/324040 and 38\/55.\nAnswer: 3564440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 + r. Let h be u(1). Let w = 58263.15 + -58263. Which is the second smallest value? (a) w (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1683*q - 1655*q - 714560. Is 220 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000930498 to seven dps.\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 32*n**2. Let c(x) = 3*x**2 - 9*x - 18. Let i(h) = -2*h**2 + 5*h + 10. Let s(o) = -5*c(o) - 9*i(o). What is q(s(m))?\nAnswer: 288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1506 + 2)*(-767)\/24544.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 11. Suppose -5*y + 2 = -k + 5*k, -k + 5*y + 13 = 0. Suppose 5*n - 5*b - 5 = 0, 0 = n - 4*b - k - 1. What is l(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 2. Let m be b(2). Let l(q) = -2*q - q + m*q. Let p(h) = 15*h. Let y(o) = -7*o. Let a(z) = 6*p(z) + 13*y(z). Calculate a(l(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 17*h + 12. Calculate r(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 8:01 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4, 5*m - 44 = -5*r + 2*m. Suppose -u - r = -6*u, 10 = -3*x - u. Let g(h) = -h**3 + 0 + 3 - 2 - 3*h**2. What is g(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2824, -5663, -8588, -11641, -14864?\nAnswer: -18299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106131628343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.278501 months to years.\nAnswer: 0.85654175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 192 = -291. Solve -11*d - 14 = -i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + -8 + 6 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**3 - 7*a - 10*a + 6*a**3 + 7*a**2 + a + 19. Let m be f(-9). Calculate the common denominator of -3 + m + (-580)\/(-165) and 32\/5.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*i + 115, 4*w + 4*i - 58 = 2*w. What is the remainder when 113 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 9*z**2 + 8*z + 4. What are the prime factors of s(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**4\/4 - 20625*a**3\/4 + 649305*a**2\/2 + 669920*a = 0.\nAnswer: -4187, -2, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*(1 - 13) - ((-41635)\/(-880) + -35)\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 145*g - 9. Let h(p) = 12*p + 1. Calculate -f(m) + 3*h(m).\nAnswer: -109*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47033612 is divided by 47033593.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025098 to seven dps.\nAnswer: -0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v + 30 = -3*s, -3*v = 0. Let z be 4\/s + (-22)\/(-5). Suppose 4*h - 24 = 4*q, -2*h + 18 = -0*h - z*q. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 27 = 5*x, -l - 21 = -x + 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iitttttitttttt. What is prob of sequence titt?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10*j**3 - 20*j**2 + 9*j + 26. What is h(5)?\nAnswer: -1679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-94*v + 312*v - 156*v)*(3 - 3 + 2)*(2 - 3 + 0)*(8*v - 18*v - 6*v)*(-v**2 - 2*v**2 + v**2) in the form l*v**4 + x + u*v**2 + p*v + m*v**3 and give l.\nAnswer: -3968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178899.0087543 - 178899. Round o to four dps.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.8 and 78.605.\nAnswer: 85.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:39 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -5*n - 3*h, -3*h + 5 + 1 = -3*n. Let i(f) = -20*f**3 + 21*f**3 - 7*f - 2 + 2 + 5*f**2 + 1. Determine i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + t + 115 = 6*t, 5 = -t. Let r = j - -42. Suppose r*p = -3*w + 2*p + 530, -2*w = 3*p - 352. Does 34 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.15 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 2, s: 4}. What is prob of sequence gc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2, -2\/13, 3\/4, -33?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 29*b - 70 = 31*b, -2*u + 3*b + 135 = 0. What is the remainder when 1617 is divided by u?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -41. Suppose 0*t - 3*y = -5*t + 19, 0 = -2*t + 4*y + 16. What is the highest common divisor of o and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 3*s + 0*s)*(-3 + 63 - 15)*(3*s - 3*s + 2*s)*(0 + 0 - 7*s**2).\nAnswer: 1260*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41834?\nAnswer: 2, 13, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 14*m**2 - 13*m + 4. Suppose -5*r = 4*r + 117. Let z be n(r). Suppose 4 + 8 = z*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -142 - -144. Solve 3*y = -5*v + 13, -5*v = 5*y - m - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22604 to 3 dps.\nAnswer: 0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19967 minus 0.19?\nAnswer: 19966.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*k + 137*k + 18 - 159 = 0. Let d = 0.2 - 0.18. Which is the closest to d? (a) k (b) -1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 + 14*b**2 - b**2 as c*b + y*b**2 + t and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2)*r)\/r**1)**(-22) assuming r is positive.\nAnswer: r**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1572 and 30.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 - 6 + 6 - 3*i**2 + i - i + (i**2 - 2*i**2 + 0*i**2)*(2 - 3 + 0).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t - 14*t + 60*t**3 + 115*t**2 - 196*t**3 + 67*t**3 + 66*t**3.\nAnswer: -3*t**3 + 115*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-90)\/(7 - -11) + 37\/7. Let o = -4171\/13 - -321. Sort 7, c, o in decreasing order.\nAnswer: 7, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:40 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -593*d + 97. Let p be i(-5). Suppose 0 = -22*n - 620 + p. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(720) + sqrt(720)) + -1 + (sqrt(720) - -1*sqrt(720)*5) + sqrt(720)*2*6)**2.\nAnswer: -432*sqrt(5) + 233281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 greater than -110800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n + 61 = 171 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 71*h**2 + 60*h + 290. List the prime factors of f(14).\nAnswer: 2, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 9. Let p be 2 - 5 - 35\/s. Let w = p - -5. What is the highest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1934*a**2 - 13229*a**2 - 8361*a**2 - 24002*a**2.\nAnswer: -43658*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u**3 + 13*u**2 - 3*u + 3. Let r(b) = b**3 - b**2 + b - 1. Let d(f) = -6*r(f) - 2*t(f). Find the third derivative of d(q) wrt q.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x + 21. Let j = -100 - -112. Let k = 6 - j. Let g be f(k). Solve -g*b = 2 + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + -2*sqrt(85)*1)\/(-5*-1*sqrt(5)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 1\/359, -0.1.\nAnswer: -0.3, -0.1, 0, 1\/359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 355 + -352. Let k(v) = -v**3 + 4*v**2 - 3*v + 11. What is the remainder when 263 is divided by k(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5))**(-49) assuming l is positive.\nAnswer: l**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 16 + g**2 - g + 4 - 21. Let h be n(-2). What is the greatest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 405*z + 72531. Give x(-179).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -22. Let t be (9\/k)\/((-9)\/(-48)). Calculate the common denominator of 3 - ((-316)\/t - 1) and 58\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/23)\/n)**(-2\/5)*(n**(-19\/5))**30 assuming n is positive.\nAnswer: n**(-13066\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 3. Let g(a) = 12 - 5*a + 2*a - 16 + 13. Determine 2*g(v) + 7*q(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r**2 + 63*r - 68. Let v be o(1). Put v, 38, 4 in increasing order.\nAnswer: v, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -218 - 5482. Calculate the greatest common factor of q and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11697 = 133*u - 223*u + 647*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 4*s + 2*s**2)*(-36 - 36 - 173) - 9*s**2 - 5*s**2 - 3*s**2 in the form q*s + y + t*s**2 and give t.\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63529 and 1313?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3 (b) 8 (c) 3\/70 (d) 4 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3485.439ml in litres?\nAnswer: 3.485439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1961620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (1 + 0))\/1. Let k = 5 + j. What is the closest to -4 in k, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2. Let x(g) = 2135*g**2. What is x(k(b))?\nAnswer: 53375*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**3 + 57*s**2 + 8367563159 - 8367563159.\nAnswer: -13*s**3 + 57*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -133*z**4 - 44*z - 7. Let x(a) = -66*a**4 - 21*a - 4. Let h(o) = 7*x(o) - 4*y(o). Find the second derivative of h(k) wrt k.\nAnswer: 840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/717 and -15\/956.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(539)*-2 + sqrt(539)) + -4 + 1*(-1 + sqrt(539))*6)**2.\nAnswer: -1540*sqrt(11) + 65319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/14 + 0)*4. Let a(h) be the second derivative of -h**3\/6 + 13*h**2\/2 + 13*h. Let q be a(10). What is the second smallest value in p, q, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -505.88 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 5\/2)*216\/(-162)*-12.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1525 times 408298?\nAnswer: 62265.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + 5 + -15 + (53 - 42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269*p - 629 + 327 + 298)*(-3*p**3 + 2*p**3 + 0*p**3).\nAnswer: 269*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z**2 + 401. Let x be w(0). Let n = 255 - x. Let p = -81 - n. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 1243134806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, r: 4, z: 4, q: 1, s: 1}. What is prob of sequence cq?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 9. Let x(u) = -u**3 - 3*u**2 + 5*u + 1. Calculate x(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8431 - -0.138354775.\nAnswer: 8431.138354775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -22*a - 17. Calculate n(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.55438km to nanometers.\nAnswer: 1554380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 - 1 + 0 - k**2 - k**2 as q + i*k**2 + n*k and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.24 + -0.06. Let y be (-16*(-14)\/224)\/(-5). Which is the nearest to y? (a) 5 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < -1\/512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*j + 15. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -6. Let x = i - -8. Let z = -7 + 8. Which is the third smallest value? (a) z (b) -3\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/((-5)\/(-1))*(-3)\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309721868 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4.012. Let b = -107.988 - c. Let v = b + 103.3. Round v to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoqxxoqqxooxx. Give prob of picking 1 q and 1 o.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 127, -1\/2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5 + 10*z**4 + 34*z**3 + 36*z**2 - 27*z - 54 = 0. Calculate z.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {i: 6, m: 4, w: 3, y: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -11 (c) -2\/7 (d) -0.4 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1695404.48777 + -3225.\nAnswer: 1692179.48777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 303?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 3*s - 24. Let y be 27\/s + (-2)\/(-4). Is -1 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -1 + 38*o**2 + o**3 - 1\/24*o**4 - 1\/60*o**5 + 0*o. What is f(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2197005 (base 10) to base 16\nAnswer: -21860d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4485884 at least -4485885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from {h: 2, d: 2, u: 3, g: 2, a: 4, n: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35890835 to the power of 1\/2, to the nearest integer?\nAnswer: 5991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45254 is divided by 431.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c + 65. Is d(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17931.91 decades to centuries.\nAnswer: 1793.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18\/7 (b) -2\/7 (c) 0.3 (d) -3\/641 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 2*t**2 + 13*t. Let m(b) = -3*b**3 - 9*b**2 - 51*b. What is 9*j(w) + 2*m(w)?\nAnswer: 3*w**3 + 15*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(sqrt(13) + sqrt(13)*1) + ((sqrt(13)*2 + sqrt(13))*1)**2).\nAnswer: 4*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 49.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 213*a**2. Let r(i) = -5*i. What is q(r(j))?\nAnswer: 5325*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -115343399 divided by -2?\nAnswer: 115343399\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjj when three letters picked without replacement from cclccflccccljjlllc?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14833 (b) -53 (c) 10 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjccjjj. What is prob of picking 2 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4*(-2)\/(-1))\/((-3885)\/(-370))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 7*d - 8. Let j be k(-1). Let u = -0.4 + -0.1. What is the third biggest value in -2, u, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-63))\/(6\/(-54)). What is the smallest value in 0.226, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*1*10\/(-4). Let t(k) = -k**3 - 9*k**2 + k + 14. Let j(l) = -l**2 - l + 2. Let h(v) = -5*j(v) + t(v). Calculate h(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(342))\/(sqrt(16)\/(sqrt(128) - sqrt(8)) - (-2*sqrt(16))\/sqrt(8))*2)**2.\nAnswer: 393984\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*0\/8. Solve -3*i + t*i + 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 - 1 - 17. Let p = -13 - d. Suppose -j + 80 = p*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -282 + 282.219. Let d = 5.219 - r. What is the third smallest value in d, 0, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -2\/15 (c) 7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 divided by -128.\nAnswer: 181\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*i + 89. Let y = -2 - -5. Calculate the remainder when -3 + (138\/10 - (-4)\/i) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102980, 205960, 308940, 411920, 514900?\nAnswer: 617880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five quarters of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/5 - 2\/10. Let q be 2 + -2 + i + 1. Suppose -4*a = -4, -2*a - q = -n - 1. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000033213 rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Let p = -0.2 + d. Is p smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpqqqqptgstqggqz. What is prob of picking 1 p, 2 t, and 1 g?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 463.3 + -485. Let k = 21.7113 + h. Round k to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -693820, -1387666, -2081512, -2775358, -3469204, -4163050?\nAnswer: -4856896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 31, 155, 201, -5 in increasing order.\nAnswer: -5, -3, 31, 155, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2447*v + 177. Let x = 56 + -47. Let y be o(x). What is y rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 72. Let x = -14 + f. Calculate the remainder when 15 is divided by 6\/(-21) + 176\/x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/2)\/q**(-1\/5)*(q**(-8)\/q)\/q**(-2\/15))\/((q\/(q*q*q**(-1\/3)))**(-10\/11))**(11\/8) assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4563 - -4458. Which is smaller: b or -317\/3?\nAnswer: -317\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -25271, 36, -5, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*b = -27, -988*w + 964*w + 4*b = -376 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 7. Let o(n) = 3*n + 8. Determine 6*f(k) + 5*o(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21*(-12)\/(-42))\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.303 + -0.203. Let n = s + -2.1. Let f = n + -18.999903. Round f to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23126 (base 10) to base 3\nAnswer: 1011201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*g**3*x - 7*g**3 + 8*x**2 + 84 wrt x.\nAnswer: -72*g**3 + 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 779523910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:48 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7238 and 110?\nAnswer: 36190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/2 - 79*h**4\/2 + 885*h**3 - 7850*h**2 + 24500*h = 0. Calculate h.\nAnswer: 0, 10, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -34. Let f be (s - -6) + (-1)\/2*-4. Put 17, f, 5 in increasing order.\nAnswer: f, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/3005 - 297543\/48080. Find the common denominator of 23\/2158 and n.\nAnswer: 17264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + (0 + sqrt(1573))*3*6) + 3)**2 + -1 + 5.\nAnswer: 2376*sqrt(13) + 2038621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317 or -1589\/5?\nAnswer: -1589\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 2, e: 1, v: 6, f: 2, x: 5}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 21 = 2*i, -2*i + 0*w = -5*w + 9. Solve -i*c - 6 = 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j. Suppose -3*p + j*o + o + 8 = 0, -2*p - 4*o + 10 = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 + 32\/(-14). Suppose -q - 3*z = -6*z - 29, -2*q - 5*z + 102 = 0. What is the remainder when 21\/(-14) - q\/j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621817615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2) + sqrt(32) + 3)**2 - (4 + (sqrt(2) + -1 - sqrt(2)))).\nAnswer: -224 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 206*b - 222*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.7, -22416, 0.21 in descending order.\nAnswer: 0.21, -6.7, -22416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-650))\/((-3)\/12).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 1334 - 13173 = 1196. What is the remainder when u is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-8)\/(-33)))\/((-69)\/(-184)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -8223516.\nAnswer: -1\/2741172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - ((-10672)\/20 - 2\/5). Suppose 8*i = 444 + k. What is the remainder when i is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 31*w = 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05873 and 86?\nAnswer: 5.05078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -36*a + 12*a. What is the third derivative of 9*r**a + 7*r**4 - 27*r**4 + 18*r**2 + 5*r**4 wrt r?\nAnswer: -360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -31511158.24896?\nAnswer: 31511158.74896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, t: 1, o: 1, m: 5, i: 6, u: 2}. What is prob of sequence cum?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/113 != 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 + a**2 - 10*a - 19. Is s(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -195 + 255. What is the greatest common factor of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 32 = 2*o + 18, 4*w + 3*o - 44 = 0. List the prime factors of (-1)\/(-6)*5964\/w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m + 1. Let k(l) = -18*l - 4. Calculate 2*k(h) - 5*v(h).\nAnswer: 9*h - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5 + 1 = 0, c + 4*h - 5 = 0. Suppose c*p + 2*p = 1705. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 55*k + 64*k to u*k + r and give u.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 4) in base 2?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29096, 29100, 29104?\n\"Answer: 4*b + 29092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202\/(-32)*-2 + (-186)\/(-496).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*k = -344, z - 5*k - 61 = -2*k. Let x = z - 44. Suppose x*g = 20*g + 36. What is the remainder when 8 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 1:20 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29448426 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = p - 6*p. Calculate the greatest common divisor of 28 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 25*t - 121. What is the remainder when 137 is divided by o(13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1025)\/(-135)*870\/(-725)*-9?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 5*q**2 + 6*q + 3. Let z be r(6). Suppose 3 = c + 3*n, -7 + z = -2*c - 5*n. Sort -1, c, 3 in decreasing order.\nAnswer: 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 5, -1, -20, 4389 in decreasing order.\nAnswer: 4389, 5, 0, -1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) -1 (c) 0.3 (d) 0.07 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*o - 0*o - 2, 0 = 3*s - 5*o + 7. Let z(x) = 102*x + 65. Is z(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6044086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3 = b. Suppose y = b*j + 42, 0*y = 2*y + 5*j - 73. What is the highest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -199, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w**3 + 6*w**2 + 2*w + 5. Suppose 2*l = l - 4. Let m(j) = -j**3 - j**2 - 1. Let b(i) = l*m(i) - q(i). Is b(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63083 and 6513399.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 34. Let x be (18\/60)\/((-4)\/(32\/y)). What is the third smallest value in 1, x, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 l, and 1 n when four letters picked without replacement from {o: 3, z: 2, n: 1, j: 1, l: 7}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151 - 78. Suppose 2*t - 71 = 2*q + s, 0 = 4*t - 2*q - 278. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1592 - 0.189. Round b to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2134203, 2134207, 2134221, 2134251, 2134303?\nAnswer: 2134383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 444607\/750 or 594?\nAnswer: 444607\/750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 9 = 11. Let d be 2\/m*32\/24. Which is the closest to 0.1? (a) d (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 10 (b) -75 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from rssnsitisrsttittt?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67.861 - -0.139. Let h = g - 30. Let j = h + -37.88. What is j rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -499356 divided by -52?\nAnswer: 9603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = 36*f - 2*w - 36, 39 = 4*f - 5*w. Solve -4*x + 9 = y, x - 4*y - 21 = -f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68483986.8 rounded to the nearest one hundred thousand?\nAnswer: -68500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k + 1908 - 106 = -6*k. Solve 107 = k*j + 372 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9986.0007707 - 9986. Round h to five decimal places.\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(40)\/sqrt(4)) - sqrt(140)\/(-4*sqrt(5)))*-1*4.\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x - 2. Suppose -4 = 3*q - 7. Let s be v(q). Does 31 divide (-378)\/(-4) + (-6)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42358910.\nAnswer: 2, 5, 11, 385081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqelqeee. Give prob of picking 2 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 42*v**2 - 4*v. Let h be i(-3). Suppose 6*y = -0*y + h. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-18.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1.3377\nAnswer: 5.3508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2162 and 1417582.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 679309*b**3 - 2462812.\nAnswer: 2037927*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*z - 707*z - 91600 = 816*z + 90610 for z.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - h + 4330 = 27*s, -2598 = -3*s - 3*h. Let v = 1013 - s. Calculate the greatest common divisor of 189 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20028.6071 to 0 decimal places.\nAnswer: -20029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2883899644 to the nearest integer?\nAnswer: 53702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(40600\/(-48)))\/((-5580)\/3255).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1222221*h**2 + 5*h - 4. Let i be 0 + 0 + (6 - 3). Let r be d(i). What is r rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 6. Let q be ((-1 - -1) + -1)*-5. Suppose -3*c + 4*x - 3*x = -29, q*c = x + 49. Let m be a(c). Solve s = -5*v - m, 4 + 0 = 5*s + v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 61 (b) -1\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 64*v + 64*v - 3 - 56*v + 3.\nAnswer: v**2 - 56*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u - 2. Let z be b(6). Suppose -31*s = -83*s + 486 - 70. What is the greatest common divisor of z and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 5. Let t(r) = 175*r**2 + 758*r + 40. Let v(d) = 24*l(d) + 3*t(d). Find the second derivative of v(j) wrt j.\nAnswer: 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 10*q**3 + 7*q.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110915727?\nAnswer: 3, 13, 2843993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/11)\/b**(-1\/4))\/(b**3)**(-12) assuming b is positive.\nAnswer: b**(1619\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67501 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480 + 0*d - 5*d + 480.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -2*-2*sqrt(76) + sqrt(76) + sqrt(76))\/(sqrt(4) + sqrt(4) + 2*3*sqrt(4)).\nAnswer: 7*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, a: 7}. What is prob of sequence af?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 21*o**2 - 10*o - 26. Let b(s) = 4*s**2 - 2*s - 5. Let m = -13665 + 13663. Give m*i(h) + 11*b(h).\nAnswer: 2*h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 - -0.2. Let c be 3*(-4)\/(-6)*209\/(-22). Let f(h) = h**2 + 19*h - 4. Let b be f(c). Sort -2\/7, p, b in ascending order.\nAnswer: b, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -12*l + 242. Let s be c(20). Calculate the greatest common factor of s and 154.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 7) to base 8.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 28 - 34. Suppose 3*x - 7*x = -16, -p*x - 21 = -b. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 781305838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2592 * 0.5\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16584 and -0.0771.\nAnswer: 1278.6264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9053895.44 rounded to the nearest one hundred thousand?\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2061561105.\nAnswer: 3, 5, 15270823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/138*(10 + -1). Let y be (4 - -1) + (-4)\/2. Suppose y*x = 3*t - a, -2*x + 6 = -0*x. Solve -2*p + t + 2 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27933 = -3*u + 3*i, -10540 - 26701 = -4*u + 5*i. Suppose 12 = 4*x, -6*x - 5*x + 128 = 5*v. Suppose -77535 = -v*a + u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yms when three letters picked without replacement from kjkksmykk.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 576, 868?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = -5*a, d + 35 - 15 = -5*a. Sort -4, a, 291, 1 in decreasing order.\nAnswer: 291, 1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.603*-36\nAnswer: -237.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3031 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121000044 to the nearest integer?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1464460 and 148.\nAnswer: 1464460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q + 2. Let r(t) = 6*t + 2. Suppose 0 = 66*l + 189 + 432 - 225. Determine l*o(x) + 7*r(x).\nAnswer: 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*f + 3. Suppose -f = -0*j - 2*j. What is j rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m - 111. Let o be j(-19). Let u be (-578)\/408 + 5\/o. Let z = -4 + 3. Which is the fourth smallest value? (a) u (b) 0.3 (c) z (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1255229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/6 - 331*y\/6 = 0. What is y?\nAnswer: -331, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/(4 - (-1197)\/(-623)) - 38\/95\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 178142758 times 0.3\nAnswer: 53442827.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 12*u - 14*u - 25*u.\nAnswer: -27*u - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:58 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36484 and 168.\nAnswer: 218904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 534 and 16.\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1106 and 71764?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {p: 13, o: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhzs when four letters picked without replacement from {s: 10, d: 5, h: 1, z: 4}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/620*24360\/1218.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13259401\/1745743 + 1314\/173. Let h = -702466393475 + 42531530257833785\/60546. Let q = l + h. Find the common denominator of -145\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*s + 5 + 28, 8 = -13*g + 4*s. Factor g*r**2 + 0*r + 0 + 2\/3*r**3.\nAnswer: 2*r**2*(r + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 32. Let z be (5\/(-2) - 1\/(-1))*-2. Let q = d + z. Calculate the remainder when 74 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 940821 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-350))\/(83\/(93375\/450)).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 10*i - 11. Let b be v(10). What is the remainder when 42\/b + ((-878)\/(-18))\/1 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 20. Let m(l) = -l - 10. Let h(d) = -6*b(d) + 11*m(d). Let j be h(-5). Suppose -343 + 1518 = j*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 13*j + 1. Let a(w) = 2*w**2 - 9*w + 1. Suppose -3*o + 31 - 9 = -4*l, -o - 9 = l. Let u(k) = l*a(k) + 5*n(k). Let z = 3 - 5. Determine u(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1)\/sqrt(8)*6 + ((sqrt(88) - sqrt(88)*2)\/sqrt(8) + 4)**2.\nAnswer: -2*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 204. Let v(i) = -2*i - 104. Give v(c(a)).\nAnswer: 4*a**2 - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 38.30708 years?\nAnswer: 0.3830708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -116*m - 1022. Calculate o(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.13 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 170916226 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 986 - 6905\/7. Let z = -46 - -45.9. Sort z, -6\/11, i, -2.\nAnswer: -2, -6\/11, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y**2 - y - 2. Let s be f(4). Is (s\/12)\/((-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(70\/(-12)) - (-6 + 5)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 89c?\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 812727224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Suppose 2*m - l*m = -114. Is (14\/(-3))\/((-4)\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 15*u + 60. Calculate the lowest common multiple of 5 and t(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195 (base 16) to base 2\nAnswer: 110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -475838 divided by -503.\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqccc. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 4, r: 1, n: 1, u: 6}. What is prob of picking 1 l, 1 h, and 1 n?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -449 + 157666*l - 879 - 157663*l as p + s*l and give p.\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p + 139. Let f be z(-13). Let t(h) = -5*h - 7. Let k(c) = -c - 1. Let g(o) = 4*k(o) - t(o). Give g(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 less than or equal to 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*r**2 - 28*r**2 - 2 - 9*r**2.\nAnswer: -35*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.9998667 + -36. Round j to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Suppose 10 = -2*f - 4. Let x(j) = j**3 + 8*j**2 + 8*j + 10. Let z be x(f). Solve 0 = -w*y + z*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2390742494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300142, -300180, -300218, -300256?\nAnswer: -300294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-7)\/294*10))\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(175) - sqrt(175)*2) + sqrt(175) + -2 - (-2 + -1 + sqrt(175))) + (3 + -1 + sqrt(7) + sqrt(14)\/sqrt(2) + -4)*-4)**2.\nAnswer: -1170*sqrt(7) + 6320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*q = -4*r + 22, q - 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 6188*u - 6 - 4891*u in the form b*u + o and give b.\nAnswer: 1297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15514950 divided by -150\nAnswer: 103433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/35 - (-552)\/21. What is the greatest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34612 divided by 10.\nAnswer: 17306\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:15 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, 0.04, -2010, -1, -14, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 11*j**2 + 15*j - 27.\nAnswer: (j - 1)*(j + 3)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2)\/w)\/(w\/(w\/w**(2\/9)))*w\/(w*w*w**4*w)*w**2 assuming w is positive.\nAnswer: w**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/12 + 31\/2. Suppose -3*c + h + 176 = 5*h, -5*c - 3*h = -308. What is the greatest common factor of c and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2598*c + 90934. What is l(-35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/c**(6\/17))\/c)*c)\/(c*c\/(c\/c**3*c)) assuming c is positive.\nAnswer: c**(-11\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.1. Let k = -2129.85 + 2130. Sort 0.4, i, k in increasing order.\nAnswer: k, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -35 - 8 - 30?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 388086 by -71.\nAnswer: -5466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 330 + -326. Suppose 2*w - 26 = 9*j - 5*j, -t*j + 4*w = 32. Which is the closest to -2? (a) -4\/7 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*t - 0*t + 8, 8 = 2*t. Suppose 7*w = 4*w + 6. Suppose j + p = 17 - 5, p = -w*j + 21. Solve l*r = r + j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Suppose f - 5*w + 6 = 0, -w - 3*w = f - 12. Let s(o) = f*o**2 + 2*o**2 - 3*o**2. Let r(m) = 2*m**2. Let b(n) = 5*r(n) - 4*s(n). Give u(b(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-9))**(-1\/52) assuming r is positive.\nAnswer: r**(9\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1471, 5\/271, -2\/5, 2 in descending order.\nAnswer: 2, 5\/271, -0.1471, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -769056 - 660944 = -10*s. Round s to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 430587*i**2 - 2*i + 2565344 wrt i.\nAnswer: 861174*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5252 - 5031 + 3455 - 2*p - 5078 - 2211)*(2*p + 2*p**2 - 2*p) to z*p**3 + t*p**2 + l + x*p and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**7\/1050 + d**6\/600 - d**5\/100 - d**4\/24 - d**3\/15 + 4*d**2. Determine x, given that g(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3 - 1. Suppose -5*b - 4*d + 39 = 0, -4*b - 14 + 44 = 2*d. Solve 2*y + 2 = -2*m, 4*m - p*y + b*y = -5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5 + 49504*b**4 + 146491456*b**3 - 41298216960*b**2 + 2783825510400*b = 0.\nAnswer: -6320, 0, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 3*q**2 + q**2 + 7 + 0*q - q**3 - q. Let d be t(5). Let v(l) = -2*l**2. Let h be v(1). Is h bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*6*8\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360)\/20*(9\/15)\/((-111)\/(-370)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 115 (c) -2\/9 (d) -4\/9 (e) 3\/5 (f) 10\/3 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/4 (b) 373\/6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 9 - 45. Calculate the smallest common multiple of j and 400\/18 - 2\/9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 8*u + 10. Solve -2*l + u + 15 = 3*q, -2*l = -q - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Let w = 4 - i. Which is the second biggest value? (a) -5 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(275)*1*4 + (sqrt(275)*2 - sqrt(275)) + sqrt(275) + 3) + (0 + -1 + sqrt(275) - 6*sqrt(275)*-1))**2.\nAnswer: 260*sqrt(11) + 46479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11*p**2 + 11*p - 22. List the prime factors of o(4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74\/3 - 24. What is the nearest to o in 1\/2, -2\/11, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/587 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8861 is divided by 47.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.433626 litres to millilitres.\nAnswer: 6433.626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 4*y + y)*(3 + 0 + 31).\nAnswer: -136*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 187a0 - a?\nAnswer: 18793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 + 5*a + 6. Let l(p) = -12*p**2 + 11*p + 14. Let n(w) = 7*b(w) - 3*l(w). Calculate n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 12:22 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 11133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 32)*(-2 + 50\/16)*(-45 + 47).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15989 - -15991. Put 4, d, -255 in descending order.\nAnswer: 4, d, -255","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7770 - -7649.02. Round k to the nearest integer.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9728721681213 and -0.3.\nAnswer: -9728721681213.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, t: 3}. What is prob of picking 1 c and 1 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43774 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265176152 by 132588076.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4\/5))**22)**(6\/13) assuming h is positive.\nAnswer: h**(-528\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 + -11)*-13*2. Put 0, z, 3 in ascending order.\nAnswer: z, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1))\/(g**(-2\/13)\/g)*g*g\/(g**(-2\/7)*g)*g\/(g**(-1\/14)\/g)*(g\/g**0)\/((g*g*g*g*g**(5\/3))\/g)*g**(-1\/4)*g**(-5) assuming g is positive.\nAnswer: g**(-2627\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 3*m**6\/40 + m**5\/12 + 5*m**4\/24 + 5*m**3\/6 - 2*m**2 - 20. Let w(h) = -4*h**3 - 2*h**2 - 2*h - 3. Calculate 2*l(y) + 5*w(y).\nAnswer: -2*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 772404425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -1. Let v = 0 - -2. Suppose -o - q = -v*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - y + 429129 = 0, 429121 = 7*j - 2*j - y. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3415, 3414, 3411, 3406?\nAnswer: 3399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 328 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -7) + (3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*g + 10. Suppose g*f - 2 + 37 = 4*n, 0 = -4*n + f + 23. Is 11 a factor of (-56)\/(-5) + (-1)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 58\/(-2) - -7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*p + 51 = 1, 55 = 5*n - 5*p. Let i be ((-4)\/6)\/(4\/n). Let y(r) = -2*r. Let a be y(-2). Put a, -3, i in increasing order.\nAnswer: -3, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or 0.13189?\nAnswer: 0.13189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 918.\nAnswer: -5\/918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56298 and 1056.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2683 + -2682.993346. Round z to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b + 4*b**3 + 2 + 0*b - 4*b**2 + 4*b**2. Let y(j) = 9*j**3 - 7*j + 5. Let w be 2*3\/6*-2. Determine w*y(p) + 5*a(p).\nAnswer: 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i + 2. Let t be h(-6). Suppose 4*g + 2*j = 3*j + 66, g - 3*j - 22 = 0. Calculate the highest common divisor of g and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1590274602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 5*a + 6. Let d be f(4). Suppose -4*v = 2*j - 2, 3*v - j - 1 = -d*j. What is the units digit of 1\/((-2)\/(-22) + v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 8 = -s. Let w be (s\/5)\/((-10)\/(-100)). Let c(y) be the first derivative of -y**2 - 5*y + 1. Let r(f) = -4*f - 9. Calculate w*r(b) + 11*c(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.1 + -32.1. Which is the third biggest value? (a) -17 (b) i (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d - 6 = -4*a, 3*d + 5*a = -17. Find the common denominator of -21 and d\/(((-48)\/11)\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 (base 12) in base 11?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265776*q**4 - 229147*q?\nAnswer: -3189312*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, q: 1, k: 7}. What is prob of sequence skss?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*l**2 + 1651*l + 9*l**2 - 3201*l + 1593*l to v + s*l**2 + z*l and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -177873\/169 > -1052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843717 is divided by 1390.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 4)*(7*c - 2*c + 7*c)*(32207*c**2 - 32207*c**2 - 17*c**3) to the form w*c + o*c**3 + b + j*c**2 + r*c**4 and give r.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 165*n**2 - 1300*n + 1980.\nAnswer: -5*(n - 22)*(n - 9)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4\/4 - 21*k**3\/2 - 87*k**2\/4 + 33*k = 0.\nAnswer: -11, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 6*n - 806. Let h = n + -59. Suppose 4*c + 16 = j, -5*j + c = -0*c - 23. Solve -4*w + 5*k - h - 9 = 0, k - j = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 7*z - 4*z - 2*k, 0 = 4*z - 5*k - 152. Let w be 3*-61*(-1)\/3. Let r = w + -4. What is the highest common factor of z and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - 4*z**5 - z**4 - z**4 + (z**3 - z**3 + z**3)*(10*z**2 + 19*z**2 - 15*z**2) - z**5 + 0*z**5 - 2*z**5.\nAnswer: 9*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013426 (base 14) in base 11?\nAnswer: 4305794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2136673.2 microseconds?\nAnswer: 0.03561122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111101121 (base 3) to base 2.\nAnswer: 110010011100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(4\/((-28)\/(-21))) - (-7)\/1. What is the biggest value in -2\/7, d, -0.4, -6, -0.05?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13231910 is divided by 218?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/27217463 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 63. Determine u(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-4)\/(5*16\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -793\/53263 + -6\/1087. What is the smallest value in -3\/7, 4\/7, r?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -29, 1, -7, 2\/7, -79?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 952, -1\/4, -0.4, -1\/2 in descending order.\nAnswer: 952, -1\/4, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 8*d + 9. Let i be q(-9). Suppose -7*n + 84 = -i*n. Suppose -4*p + n = -5*u, -7*p + 9 = -4*u - 4*p. Solve 3*s + u*s = -15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**2 + 35*d**3 - 40*d - 20 + 16*d**5 + 25*d**4 + 24*d**5 - 35*d**5 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 79716*g**3 - 529633098*g**2 - 1059027060*g - 529473675.\nAnswer: -3*(g + 1)**2*(g + 13285)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -6. Let s = p - -26.0000055. Round s to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*y + 10 - 7 + 28*y)*(2*y - y**2 - 2*y + (-y + 0*y + 2*y)*(1 - 1 + 2*y)) to the form t*y + x*y**3 + v*y**2 + s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-140)\/(-6) - (-3)\/(-9). Suppose q + 4*d = -3 + z, 4*d - 8 = 2*q. Suppose 0 = -3*y + 3 + 12. Solve 2*n = y*t - 20, -3*n - 16 + 0 = -q*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 840*q**2 - 12 + 269*q**2 - 13 to the form x*q + i + a*q**2 and give a.\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 3*z**3 + 5*z**3)*(-8*z - 19*z - 11*z)*(-3 + 1 + 6).\nAnswer: -760*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10\/330)\/((-2)\/6)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 233*w - 19. Let b(v) = -933*v + 85. What is 2*b(x) + 9*l(x)?\nAnswer: 231*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 1:14 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(475) + (sqrt(475)*-3 - sqrt(475)) + 3)*-6)**2.\nAnswer: -12960*sqrt(19) + 616896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 + 153. Let a be ((-5)\/c)\/(-2 + 26\/14). What is the greatest common factor of 2 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (118 - -2) + -6 - 8\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235593*2.3\nAnswer: -541863.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1821 divide 30112056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2\/29)*y*y**(1\/28)*(y**(-17\/2)*y*y)\/y**26 assuming y is positive.\nAnswer: y**(-24681\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 b, and 1 p when four letters picked without replacement from {u: 1, p: 1, b: 3, y: 7}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 376 and 1316.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l. Let x = 44 + -37. Let n(i) = -i**2 + 8*i - 6. Let o be n(x). Give z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35769279?\nAnswer: 3, 7, 13, 131023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*r**3 - 2*r**2 + 4*r + 21?\nAnswer: 180*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 7*h**2 + 3. Let a(k) = -k**3 + k**2 + k - 2. Calculate -3*a(d) - o(d).\nAnswer: d**3 + 4*d**2 - 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -439*y**3 - 2879*y**2\/2 - 2507*y. Differentiate m(g) wrt g.\nAnswer: -2634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -2\/3, -0.7, -0.1, 1, -1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8018\/(-57)*(-1 - (-1 + -3)). Let y = -410 - j. Solve 2*r + 5*f - 16 = 0, -2*f = -r - r - y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 1. Let t be s(-2). Let j = 3683 + -3682.9. Sort t, 7, j, 0.3.\nAnswer: t, j, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**7\/1260 - 7*d**4\/24 - d**2. Let x(o) be the second derivative of l(o). Let c(q) = -5*q**2. Calculate c(x(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 27. Let q be l(24). Let v = 54 - q. Let f be (4\/(-8))\/(v\/6). Let m(p) = -3*p**2 - 3*p + 1. Let x(g) = g - 1. What is f*m(i) - x(i)?\nAnswer: 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342515*t**2 + 171258*t**2 + 171249*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/30880 and -115\/37056.\nAnswer: 185280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -7. Suppose -w = j + 3. Let c be (-69)\/w - 1\/(-3). Calculate the highest common factor of c and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -35, -77, -137, -221?\n\"Answer: -w**3 - 23*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:14 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t = 125 + 95 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n + 94. Let p be y(29). Let k be 1\/(-4) - 14\/8. Let l be (-1 - -35)\/(k\/p). What is l rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uujuauujjajuauju. Give prob of picking 1 u and 2 a.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458464262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + j**2 + 3 + 11 + j.\nAnswer: j**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 + 63 = 9*g. Let a = -204 + 446. Calculate the greatest common factor of a and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66.7 - 9.4. Let z = 25.5 - m. Let q = z + 32. Which is smaller: q or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:21 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 3, l: 4, o: 5}. Give prob of sequence llh.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007 + 1405*w**2 + 2379*w**2 + 1036*w**2 - 100*w**3 - 3456*w - 440*w**2 + 1695 = 0 for w.\nAnswer: 2\/5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12.8, 240, 0.3?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 967, 3955, 8941, 15931, 24931?\nAnswer: 35947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93948020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8082, 16764, 25448, 34134?\n\"Answer: c**2 + 8679*c - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 12*i**2 - 7*i + 9. Calculate the remainder when v(13) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 72*p - 447. Calculate h(7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 21 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/72*64\/(-24)*42\/28.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*p + 4*z, -15 = 3*p - 3*z + 6. Does 12 divide (-760)\/(-35) + (-2)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 2, i: 2}. What is prob of picking 1 i and 1 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 14. Suppose 4*i + i = c. Let r = i - 1. Is r greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 6*m = 3*w - 3*m - 48, -3*w = 3*m + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = 0, -d = 4*j - j - 154. Suppose j = 9*r - 5*r. Calculate the lowest common multiple of r and 7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 10*f**2 + 10*f + 231. Let m be v(-11). Sort 7, m, -2, -0.3, 0.04 in increasing order.\nAnswer: -2, -0.3, m, 0.04, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -714487 + 0.2.\nAnswer: -714486.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/11357 + -136342\/329353. Find the common denominator of t and 77\/4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8599*v + 117 = -8604*v + a, v - 20*a + 63 = 0 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.2 (b) -6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277002?\nAnswer: 2, 3, 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2494699086.\nAnswer: 2, 3, 11, 151, 193, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 + 20*c - 13. Let w be l(9). Let k = -3 + 13. Suppose -2*b + a + w = 0, 0*b + b = -2*a - k. Let r(s) = -s**3 + s**2 - s + 8. What is r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81.947 - 82. Round w to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -502 - -501.5. Let i = -1.4 - -0.4. Which is the second biggest value? (a) i (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-14)*(5 + (-1612)\/182). Is 7 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281547 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75507, -150774, -226043, -301314, -376587?\n\"Answer: -d**2 - 75264*d - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a. Let c(g) = 13*g. Let x = 129 - 126. What is x*c(m) - 7*z(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g + 52*g + 16*g = 465 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 747 divide 6124653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -31*h - 24. Calculate g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/88488 and 95\/216?\nAnswer: 265464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -156 + 1\/2*v**2 - v - v**3. Determine w(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + sqrt(1216) + (sqrt(1216) - (sqrt(1216) + 1)) + -4*(sqrt(1216) + 0) + -4)**2.\nAnswer: 240*sqrt(19) + 10966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1311, -1994, -5299, -8604, -11909, -15214?\nAnswer: -18519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 9*m**2 + 11*m + 2. Suppose y + 10 = -4*h + 2, -5*h = y + 12. Suppose -9 = -2*x + 19. Calculate the remainder when b(y) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 6*w + 3*w)*(-3*w + w**2 + 3*w)*((4 - 4*w - 4)*(-w - 2*w - 2*w) + 4*w - w**2 - 2*w + 2*w**2).\nAnswer: -21*w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -16291.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83449 is divided by 413?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l**4 - 1\/30*l**5 + 0 - 1\/3*l**3 - 5*l**2 + 0*l. Differentiate p(u) with respect to u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49*3\/(-12)*-4. Let c = f + -58. Let v(a) = a**3 + a**2 + 4*a - 1. Let n(o) = 2*o**3 + 3*o**2 + 9*o - 2. Give c*v(g) + 4*n(g).\nAnswer: -g**3 + 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + b + 31 = 0, 4*k - k + 16 = 2*b. Let q(j) = -4*j - 6. Let o be q(k). What is the highest common divisor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*6*((-126)\/6237)\/(2\/6)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5. Let x(v) = 4*v**4 - 3*v**3 + 2*v**2 + 3*v - 3. Let a(y) = y**3 - y + 1. Let z(p) = m*x(p) + 3*a(p). Find the third derivative of z(h) wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2893911*d**3 + 1699321*d wrt d.\nAnswer: 17363466*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67*n**2 + 355561*n*z - 144392657*z wrt n?\nAnswer: 134*n + 355561*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1512)*-2*2)\/(sqrt(36)\/(sqrt(60)\/(sqrt(40)\/sqrt(4)))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94566883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1007 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13471 - -3?\nAnswer: -13469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*o**3 + 3*o**2 + 225 + 75*o.\nAnswer: -3*(o - 15)*(o + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36147\/2)\/(-3)*-1094. Let z = -79032133\/12 + q. Let o = z + -4797. What is the common denominator of o and 15\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46704.37 millilitres?\nAnswer: 46.70437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817213248.\nAnswer: 2, 3, 59, 139, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 970175002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 352*j - 201*j - 179*j + (-3 + 3 + 2)*(j + 5*j - 4*j).\nAnswer: -24*j - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -8*c**4 - 174*c**3 - 124*c**2 + 42*c = 0.\nAnswer: -21, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -226, -209, -192, -175, -158?\n\"Answer: 17*u - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5, -14*v - 2*m = -13*v - 37. What is the least common multiple of 198 and v?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4288943 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42678 divided by 18\nAnswer: -2371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbd when three letters picked without replacement from {l: 4, d: 2, b: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -232373580\nAnswer: 1\/46474716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**6\/90 - 7*c**5\/30 + c**4 - 77*c**3\/3 - 146. Let k(s) be the third derivative of m(s). Determine g so that k(g) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2246266911 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*w + 39*w + 260. Let a = w + -44. Suppose -a = 4*d, 5*o - 6*d + d - 35 = 0. Solve o*u - 5 = 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 228 = -4. Suppose -3*g + 0*j = -j - 7, 3*g + 4*j - q = 0. What is the smallest common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/7 - 12424*y**3\/7 - 87013*y**2\/7 - 49736*y\/7 + 149172\/7 = 0. What is y?\nAnswer: -6, -2, 1, 12431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - 20*w**2 - 9*w - 26. What is f(-6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) 0 (c) 64 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/207 - 211\/828. Which is the third biggest value? (a) -3\/4 (b) 2 (c) -0.1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*sqrt(320) + (-3*sqrt(320)*1)**2 + sqrt(320).\nAnswer: 48*sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441.284ml in litres?\nAnswer: 3.441284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -7.6. Let q(g) = 43*g - 1071. Let l be q(25). Let y = -1.1 - -1. Which is the nearest to y? (a) l (b) s (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115*(-6)\/36*(-1152)\/480?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 70254642853596?\nAnswer: -70254642853596.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - 450?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2093 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244079623.\nAnswer: 1244079623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.97 + -0.97. Let o be 2*((-12)\/(-3) - 18). Let v = -30 - o. Which is the closest to v? (a) 2\/17 (b) g (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-96*q - 24 + 24)*((3 + 1 - 5)*(-5 + 0 + 3) + 4 - 1 - 1 + 4 + 1 - 7) to b*q + u and give b.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 817970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*c**2 - 160*c + 51*c**3 + 156*c + 9*c**2.\nAnswer: 51*c**3 - 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6003 and 4\/667.\nAnswer: 6003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsmssmdfdsmdmmmfssd. What is prob of picking 1 f and 2 d?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 18 - (-3 + (19 - 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 1. Suppose -2*h + 14 = 2. Let p be q(h). Let k(j) = -11*j - 11. Does 22 divide k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10576\/88 + 1 + 9 + (-2)\/11. What is the highest common factor of i and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13523958 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + w - 1. Let k(f) be the second derivative of -f**4\/2 - 7*f**3\/6 + 7*f**2\/2 + 29*f + 2. Calculate -35*b(t) - 5*k(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-7)*m)**(1\/15) assuming m is positive.\nAnswer: m**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 3*g**2 + 2*g - 4. Suppose -p = 3*p - 44. Suppose -5*i + p = -4. What is the remainder when i is divided by a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*y - 4, -2*y + 7*y - 3*z + 15 = 0. Let h = 15 - y. Suppose t - h = -6. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 - (-16 + 22).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, -2, 0.01, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 3*c**2 + 4*c + 4. Let i be x(9). Let r = 100 - i. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**4*t)\/t**(4\/3)*t*t\/(t*t**(-18)\/t)*t*(((t**(-3\/5)\/t)\/t)\/t)\/t assuming t is positive.\nAnswer: t**(331\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*c = -176*c + 520 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -57. Let o(i) = -i**3 - 13*i**2 - 6*i - 13. Let q be o(y). Suppose -19*u + q = -14*u. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217696800.\nAnswer: 2, 3, 5, 61, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2057887418 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*g = 31, -2*o = -0*g - 5*g - 26. Suppose 5*w - o*j = 280 + 352, -4*j = -3*w + 377. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q - 42. Let v be l(19). Calculate the highest common divisor of 30 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/3 + 337\/12. Find the common denominator of h and -45\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + j - 212 - 138 = 2*j for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 10 + -3 + -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1923, -3328, -5663, -8922, -13099?\nAnswer: -18188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 18 = -3*o, -2*o - 56 + 52 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 2:33 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13\/12 (b) -2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3548, -6944, -10340, -13736, -17132?\nAnswer: -20528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 103699?\nAnswer: 103698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1)\/(21\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 4*r**2 - 3*r + 6. Let y be g(-4). Let n = 26 - y. Factor 3 + 3*o + 27 - 28*o - n*o**2 + 3*o**2.\nAnswer: -5*(o - 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1750694830, 1750694829, 1750694828, 1750694827?\nAnswer: 1750694826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaycaaacag. What is prob of picking 1 y and 2 a?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 4*a - 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3043644 divided by 1521822.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-158)\/79)\/((-1)\/(2\/38)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54*v**2 + 518*v - 518*v + (-5 + 3 + 0)*(-4*v + 4*v - v**2))*(2*v - v - 2*v) to u*v**2 + i*v**3 + h + x*v and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2 + 3. What is the remainder when -2 + (2 - (p - 80)) is divided by 4*(1625\/26 + -60)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 16*q = 5*p - 19010, 5*q = -3*p + 11375. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -6798591\nAnswer: 2\/2266197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248035 - -368217. Suppose -3*w + 8*w = -4*c + 2039287, c - 509812 = 2*w. Suppose c = -f - v. Round f to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188612, -377209, -565792, -754361?\nAnswer: -942916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -3*q + 3*h, 3*h = q + 5. Let b = 6 - q. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*a*u**5 + 4*a*u**3 + 17*a*u + u**5 - 13*u wrt u.\nAnswer: 560*a*u**3 + 24*a*u + 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-120)*((-2324)\/2100 + 1)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 2. Suppose -r + 4*t = 19 - 5, 3*r + 4*t = 22. Let d be p(r). Suppose 4*g - i - 35 = d, -3*g - 2*i = 3*i - 55. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 69, 70, 73, 78, 85?\n\"Answer: o**2 - 2*o + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**3 + 1491*w**2 - 2580*w - 6309. Determine x(371).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 10*j - 26. Let x(b) = b - 1. Let v(k) = 7*k + 48. Let o be v(-7). Let z(m) = o*w(m) + 8*x(m). Differentiate z(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5 - 144*u**4 - 1032*u**3 + 6388*u**2 - 2550*u - 9828 = 0.\nAnswer: -63, -13, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 29*t + 22*t + 180. Sort t, -1111, 9 in ascending order.\nAnswer: -1111, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -7.\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by -195.\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 19 = -0*u + 2*u + n, -n = -29*u + 25*u + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**14)**(-4)*(i*i**32)\/i**(-36))**(-15) assuming i is positive.\nAnswer: i**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**5\/20 + u**4\/2 + u**3\/2 - 4*u**2 - u. Let k be 19\/3 + 6\/(-18). Is 5 a factor of q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832227750 to the power of 1\/3, to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from kcfujzk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -52298*x - 52290*x + 104587*x - 44*x**2 + 58 in the form h + o*x**2 + f*x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1823320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 701, 1518, 2167, 2558, 2601, 2206, 1283?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73307, -73297, -73287, -73277, -73267?\n\"Answer: 10*d - 73317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 2\/681 (b) -3 (c) 0.4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (43\/(-2))\/((-17)\/68) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*p - 95*p = -5. Let d(u) = 2*u - 2 - u - 1. Calculate d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -35 - 37. Suppose 0 = 3*u - m*t - 18, -3*t + 0 - 9 = 0. Solve -4*s - 1 = -5*r, -4*r + 3*s = 2*s - u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.184\nAnswer: -0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.03, -3\/17?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21189320?\nAnswer: 2, 5, 197, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 + 36*x**2 + 40*x**2 - 24*x**2.\nAnswer: 52*x**2 + 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 2 + -3 + 0. Let s(l) = -l**2 + 2*l + 2. Calculate s(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 12*a - 8. Let c be l(16). Suppose -4*f = -c - 40. Suppose -5*n = 4*v - f, 5*n - 5*v = -8 + 23. Solve -x + n*x = 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1865581 is divided by 932745.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1336\/1177 + -5\/107. Find the common denominator of -74\/3 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59569.4 and 0.037?\nAnswer: -2204.0678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 942614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07966 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(-1 + 47). Suppose 0 = -2*w + d + 1. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 104*m. Let s(q) = -9*q**2. Give s(v(c)).\nAnswer: -97344*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 529219043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsssksskksssk. Give prob of sequence skx.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from qqjqjqjqjq.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-44)*(-102)\/153?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 415444?\nAnswer: -415445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 - j + 1. Let u be 22\/18 + (-14)\/63. Let t be h(u). Suppose 2*r - t*x = 7 + 19, -5*r + 4*x = -65. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9043527 divided by 1217.\nAnswer: -7431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(-1 - 2 + 1) + 1 - 4 + 2)*(-2*u + 3 - 3).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 9*x - 686 = -4*p, -2*p = -2*x - 358. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209686537 - -171?\nAnswer: 209686708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2860 divided by -634?\nAnswer: 1430\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*z**4 - 8*z**4 + 5*z**2 + 5*z**2 wrt z?\nAnswer: -312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8369, -8380, -8393, -8408?\n\"Answer: -o**2 - 8*o - 8360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97999986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + i**3 + 0*i**3 - 3*i**3 + 0*i**3 - 4*i**3 + (4*i**2 + i**2 - 2*i**2)*(4*i + 0*i - i) to the form l + s*i + m*i**3 + q*i**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -678000 divided by -28250?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(2\/3)\/y))\/(y\/(y*y*y\/(y**(-5\/2)\/y)))*y**0\/(y**(4\/5)\/y) assuming y is positive.\nAnswer: y**(241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14866 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(38)\/sqrt(2) - (5 + sqrt(19)*1).\nAnswer: -5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - s + 40 = -7, 5*k = -3*s + 41. Let v(h) = h**2 - 20*h + 100. Let n be v(k). Solve -5*o = 2*x + 23, 0 = -n*x + 3*x - 2*o + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244022070 to the power of 1\/2, to the nearest integer?\nAnswer: 15621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 51149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161 - 149. Calculate the greatest common factor of a and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 2*g + 2*g)*((-5*g + 2*g + 2*g)*(-4*g + 0*g + 3*g) - 4*g**2 + g**2 + 4*g**2 + 17*g - 30*g**2 - 17*g).\nAnswer: -56*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 2*k**2 - 6*k**2 + (-2*k + 4*k - k)*(-5*k + 5*k - k) + 0*k + 0*k - k**2 - 14*k**2 + 25*k**2 - 14*k**2 - 5*k.\nAnswer: -9*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.15087 centuries in years?\nAnswer: 4315.087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suu when three letters picked without replacement from susssus.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 136634, -6\/5, -2, 3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 16*r**2 + 13*r + 19. Let w be d(15). Let o = 10 + w. Which is the biggest value? (a) 2\/9 (b) 0.17 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 - 3) - (-3 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 28*h**2 + 9*h + 191. List the prime factors of f(-27).\nAnswer: 2, 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1663131 or 1663159?\nAnswer: 1663159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 450728 or 450730?\nAnswer: 450728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 25\/2*k**2 - 2 + k. Let s(u) = 2*u**2. Determine q(s(x)).\nAnswer: 50*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*p + 5*p + 460 = 0, -5*r - 5*p + 700 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*g - 31, -12*g + 2*w - 17 = -9*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n. Let s be -8 - 20*(-2)\/15*3. Let p(f) be the second derivative of -18*f + s - 17\/12*f**4 + 0*f**2 + 0*f**3. Calculate l(p(g)).\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41319, 82674, 123963, 165186, 206343, 247434?\nAnswer: 288459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:48 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (sqrt(2) + 1 + sqrt(8)\/sqrt(4))**2*-3 + sqrt(18)\/(sqrt(27)\/sqrt(3)*-2) + -1.\nAnswer: -31 - 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*s**3 + 398 - 360*s + 63*s**2 - 39*s**3 - 98.\nAnswer: -3*(s - 10)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 17)*(4*x**3 - 7*x**3 + 4*x**3).\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14.9 (b) -7 (c) -3 (d) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 79. Let a(v) be the third derivative of 0 - 1\/15*v**5 + 0*v**3 - 1\/24*v**4 - 1\/105*v**7 + 0*v + o*v**2 - 1\/24*v**6. Let a(k) = 0. Calculate k.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1\/288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*s = 912 + 495 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 36. Let p be y(-18). Suppose -h + 1 = 2*j, -4*j + 3*h = -0*h - 17. Solve p = -2*m - j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4.9742. Let p = i - -0.0258396. Round p to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 15072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3135628 - 23.16938.\nAnswer: -3135651.16938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, a: 3}. Give prob of sequence vavv.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119587 divided by -4.\nAnswer: 119587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(-4)\/(-14)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -64*f + 169*f - 76*f. Let o(r) = -2*r. Give o(n(u)).\nAnswer: -58*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120414?\nAnswer: 2, 3, 7, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r + 35*r**3 + 31*r**3 + r**2 - 71*r**3. Let d(k) be the third derivative of k**6\/30 - k**5\/60 + 5*k**4\/24 + 3*k**2. What is 5*b(c) + 6*d(c)?\nAnswer: -c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 827216079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 2*j + 2*j)*(3*j - 5*j + j) + ((2 + 2 - 3)*(-2 + 2 + 1) + 7 - 3 - 8)*(-8*j**2 + 0*j**2 - 12*j**2) to the form z*j**2 + l + s*j and give z.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 350 (base 9) to base 4\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/126192 and 17\/528.\nAnswer: 126192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert b28c (base 16) to base 8.\nAnswer: 131214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = f - 115, -2*f + 116 + 106 = -4*x. Let z(o) = -o**2 + 3*o + 2. Let a be z(4). Calculate the remainder when f is divided by (-1)\/(375\/190 + a).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106066193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 71*z + 749. Let y be c(-44). Put -5, 85, y, -4, 0 in descending order.\nAnswer: 85, y, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -278, 52, -5 in decreasing order.\nAnswer: 52, -5, -36, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/((-1)\/(-14)). Let x be 66\/(-14) - 6\/w. Let g(q) = -q**2 - 3*q + 7. Let f be g(x). Which is greater: -3\/2 or f?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/23)*h**14)\/(h**(-1\/3)\/((h**17\/h)\/h)) assuming h is positive.\nAnswer: h**(2030\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 3. Let p be v(4). Suppose 5*o - o + 4*k = 64, -5*k = -15. Suppose o = 4*x + 1. Solve -x*s - 5*z - p + 8 = 0, -s + 2 = 2*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165276505 divided by 3.\nAnswer: 165276505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-46)*d\/d**44*(d\/d**(-9)*d)**(-27) assuming d is positive.\nAnswer: d**(-386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + 2*sqrt(66)))*-4)\/(sqrt(324)\/sqrt(6)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.5 (b) -1.9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10542990 divided by -6855?\nAnswer: -1538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40250 and 215625?\nAnswer: 2875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-10)\/90)\/(2\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 - 0.03. Let v = x + 0.29. Let l = -1.1 + 1.1. What is the closest to v in 0.1, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278586.\nAnswer: 2, 3, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*y**4 - 42*y**3 + 1727*y**2 + 744*y - 15376.\nAnswer: -(y - 4)**2*(7*y + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*s + 22 = 0, -1071*u - 2*s = -1077*u + 56 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c - 55*c + 22 = -t, 4*c = -4*t - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2 + 3 + 2*f - 2. Determine m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + w - 2*w)*(-2*w + w + 0*w) + 3 - 3 - w**2 - 1 + 1 + w**2 + 4.\nAnswer: -2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*w + 22. Let l = w - -31. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1120 divided by 35.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -27 (c) -5 (d) -150 (e) -2 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, s: 6, h: 3, r: 1}. Give prob of picking 2 s and 1 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {d: 4, v: 1, o: 3, a: 2, f: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-98 - 70 - 22)*(0*i + 0*i + 2*i) as h + p*i and give p.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19917, -24, 1, 4 in ascending order.\nAnswer: -24, 1, 4, 5, 19917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*v + 68770 = 10238, -4*v + 58524 = 2*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3150\/60*8\/10. What is the derivative of 72 + u + 4*u**2 - 48 - 16 - j wrt u?\nAnswer: 8*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(48)\/(1*sqrt(8)) - sqrt(18)\/(sqrt(3)*-2 + sqrt(3)))\/((sqrt(18) + sqrt(1458)*-2)\/(sqrt(81)*1)).\nAnswer: -3 - 6*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:23 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 5*p = 11*b - 11, -3*p = -12. Let k(o) = -o**2 + 6*o - 2. Let f be k(6). Let x(u) = u**2 - 2*u + 2. Let g(t) = 3*t - 3. Determine b*x(q) + f*g(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*h - 127, 4*o + 55 = 2*o - 3*h. Let n(q) = -q**2 + q + 5. Let b be n(-4). Let c = b - o. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1363 - -1365. Let t = -3 - -6. Let v = -41.6 - -42. Sort v, t, r in increasing order.\nAnswer: v, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -384 - -413a?\nAnswer: 3db6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 + 134. Let j = -6 - y. Is j smaller than 2\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -3*z**3 + z**2 + z - 341. Let q(p) = 37*p**2 - 9*p - 4. Let m(h) = -9*d(h) - 2*q(h). Let x = -3 + 4. Calculate m(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 23 = 5*z, -5*z = z + 2*q + 28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/31*-2*9\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 10.9.\nAnswer: -3.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (205\/(-123))\/((-1)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-14))\/(12\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 828840913 to the power of 1\/4, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(99) + -3 + 0 - (-5 + (1 + sqrt(99))*-4)) + 4)**2.\nAnswer: 9000*sqrt(11) + 91600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let z(b) be the third derivative of -73*b**4\/8 + b**3\/2 - 15*b**2 + 14*b - 4. Give z(d(t)).\nAnswer: -219*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2110032 (base 4) to base 15\nAnswer: -2c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105783940.\nAnswer: 2, 5, 5289197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -217*m**3*t**2 + 14*m*t**2 - 6813*t**2 wrt m?\nAnswer: -651*m**2*t**2 + 14*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8.5304 * -8\nAnswer: 68.2432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 + 5*g**3 - 4*g**3 + (-61 - 8*g - 3*g**2 + 61)*(-3*g + 0*g + 4*g).\nAnswer: -6*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*k - 38*k - 196*k + 324*k.\nAnswer: -660*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83639 is divided by 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36290036701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6*k**2 - 5*k - 6. Determine o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 11. Let x = s + -8. Solve -m - 7 + 0 = 4*w, 0 = -m - x*w - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51885?\nAnswer: 3, 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3 = 3*a, 3*y - 11 = -2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 5281489389812.6?\nAnswer: 5281489389821.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-24)\/((-15)\/(-5)). Let t be 5 - 3\/y*0. What are the prime factors of t + -5 - (-281 - 3)\/2?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(195) + -3*2*sqrt(195))\/sqrt(5))\/(sqrt(24)\/((sqrt(392) - (sqrt(392)*-1 - sqrt(392))) + sqrt(8))).\nAnswer: -110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133544443 is divided by 1168.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3410 equal to -3395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2. Let q(u) be the second derivative of -u**5\/120 + 2*u**3\/3 + 4*u. Let a(v) be the second derivative of q(v). What is a(g(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from zfsszhss?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -66. Calculate the common denominator of 3772\/(-176) + 4\/z and (63\/(-120))\/((-24)\/260).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {t: 1, l: 3, y: 1, a: 5, p: 1, m: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 + 18*h + 14. Let o be w(9). Let m = o + 232. Solve -7 + 1 = m*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/56*1\/5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0*l**3 - 1\/12*l**4 + 0 - 3*l**2 + 0*l. Let n(i) = -11*i. What is n(y(h))?\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3097211912.\nAnswer: 2, 17, 43, 529619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 7*m - 111 = 9. Let x = 46 + -27. Let l = x + -19. What is the second biggest value in l, 0.4, -5, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91564 and 264.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 507311, 4, 3 in ascending order.\nAnswer: 3, 4, 507311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009 (base 15) in base 6?\nAnswer: -23400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8505, -8506, -8507?\n\"Answer: -c - 8504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k. Let g(m) = 20*m**2 - 3*m + 4. Let l(r) = -6*f(r) + g(r). Let n be l(6). Suppose 4*z - n = -2*i, -2*z - 472 = -i - i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*v - 8. Let o be (v\/4)\/4*24. What is the units digit of (-5)\/20 + (-399)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/90 + 127*y**4\/36 - 250*y**3\/9 - 2235*y**2. Factor a(w).\nAnswer: -2*(w - 125)*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2)\/(-8)*10. Suppose 4*y - y - 6 = 3*h, -s = -y. Let i = -14 - -19. Solve -4*p = 2*w - 6, -i*p = -h*w + w - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111056425 is divided by 131?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266412 is divided by 211065?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + 149. Let m(n) = n**3 + 3*n**2. Let w(v) = -3*v**3 - 10*v**2 - v - 1. Let g(l) = -7*m(l) - 2*w(l). Determine g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 2*c, 2045*l + 2*c = 2051*l + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*j + 3*b, 3*b - 12 = -b. Let y = 10 - j. Suppose 0 = -i + 5*u + 52, 0*u = y*u - 20. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-20 - 5) - 34?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -109*k**6\/6 + 113*k**2\/2 + 187. What is the second derivative of c(g) wrt g?\nAnswer: -2180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)\/z)\/(((z\/(z*z**(-2\/39)))\/z)\/z) assuming z is positive.\nAnswer: z**(181\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -330, -68\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**21))\/(i**(-24)\/i) assuming i is positive.\nAnswer: i**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268367 and 42669.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 7) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-48)*2\/(-2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*j - w = 767*j + 4*w + 418, -w - 44 = -2*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122*q**2 + 1954*q + 128262.\nAnswer: -244*q + 1954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 - 212*w**2\/7 - 5618*w\/7.\nAnswer: -2*w*(w + 53)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + c**2 + 2*c**2 + (2 + 2 - 2)*(3 - 5 + 1)*(0 + 24 + 5)*(4*c + 2*c**2 - 4*c).\nAnswer: -115*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 9:45 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*(4 + 1))\/(-1). Suppose 12*v - j*v - 49 = 0. Suppose -v*c - 22 = -36. Calculate the greatest common divisor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2134658365 rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 6489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364224 and 70460.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8292 a factor of 226825347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 26910 = -8*o. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 10*s**2 - 2*s**2 + (0*s - 3*s + s)*(-2*s + 2*s + s) - 3*s**2 + 3*s**2 - 2*s**2)*(0 - 2 - 8).\nAnswer: 130*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 8*x**2 - 27. Let j be t(-7). Let g = 25 - j. Solve -10 - 2 = g*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 34 - 622 = 0. Suppose -2*w - 6 = -l. Let q = w + -23. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322251592 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Let k(i) = -3*i**2 - 1. Let s be k(g). Is (9 + -1)\/s + 55 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 12457811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -188*l - 563. Let r be o(-3). Let m be 9*(-4)\/(-6) - 2. What is the closest to r in 0.1, -0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 111237, 111241, 111245, 111249, 111253, 111257?\n\"Answer: 4*n + 111233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {u: 2, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 311585341 less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/52 and 5\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from xvxvxvxxvvvvxxxvvx?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = 3*q + 5*w, 5*w - 4 = -2*q. Let s(y) = 63*y + 6. Let d be s(6). What is the greatest common factor of d and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-4)\/4*-3. Suppose -x*k = -c + 29 + 27, 0 = 4*k - 16. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4 - 16*o - 2 - 11*o**2 + o**3 - 1 + 4*o**2 - 10*o**2. Determine k(18).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 55*b**2 + 5*b**3 - 15*b**2 - 12*b - 33*b = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54681*s**3 + 2*s**2 + 2*s - 216.\nAnswer: 328086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328778260 is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4872.04838 - -4872. Let h = f + 0.049. Round h to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.6. Let h = -8\/75 + -193\/300. What is the smallest value in 4, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 13, -32, -133, -308, -575?\n\"Answer: -3*i**3 - i**2 + 17*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Suppose -l - 3*l = -16. Suppose 5 = 3*o - l. Solve f = -o*d - 5 + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14 + 86350811389.87.\nAnswer: 86350811390.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(4\/(-3) - 0). Let v = -6 - -1. What is the closest to 1 in s, v, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48098, -96272, -144446, -192620, -240794?\nAnswer: -288968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 + 0*q**3 + 2*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 - -403. Suppose 6*n - p = -38. Suppose 3*i - 3*h = i + 63, -3*i + h + 77 = 0. What is the smallest common multiple of i and n?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 351.2213987 + -350.9204. Let r = -0.301 + o. Round r to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -20\/13 (c) 2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.077 - -1.343. Let u = h + -1.4277. Round u to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35442 * 5.\nAnswer: 1.7721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27 + -1)*10\/4. Suppose 3*r - 8*r = -20. Suppose r*c = 5*c - y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*m = 6*m + 14, 0 = 2*b + 5*m + 11. Let q(f) = 3*f**2 - 7*f**2 + b*f**2. Let i(l) = -2*l. Calculate i(q(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336115722 is divided by 1142.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 + 55*b**2 - 28*b + 31. Let m be t(27). What are the prime factors of (0 + 2)\/(m\/2242 - 0)?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103173667 + 2?\nAnswer: 103173671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*h - 2*d + 3, -d = -2*h + 10. Let n(w) = 6 - 3 - h - 2*w**2. Let k(x) = -x**2 - 5*x**2 + 3*x**2. Determine n(k(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 340938 and 753?\nAnswer: 256726314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-47)\/2 + (-5)\/(-10))\/(-1). Let h = n + -18. Let a(g) = 3*g + 6*g + 11*g + h*g. Let x(d) = -d. Calculate x(a(o)).\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*6*sqrt(132)*-4*2)\/((sqrt(84) - ((sqrt(84) + 2*sqrt(84) - sqrt(84))*3 + sqrt(84) + sqrt(84)))\/(-2*sqrt(63) - sqrt(7))))**2.\nAnswer: 228096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - 4.05. Suppose -5*v - 25 - 25 = -5*g, 2*g - 5*v - 35 = 0. Which is the closest to -1\/5? (a) g (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1361, 715, 6317, 17209, 35155, 61919, 99265?\n\"Answer: 294*a**3 - a**2 + 21*a - 1675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 592222 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16031482 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 7)\/(0 + -1) + 1\/6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 180. Let x be (-20)\/(-6) + (-48)\/r. Suppose 5*i = -x*n - 0*i - 5775, 4*i = -2*n - 5780. Round n to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102422 - 12124?\nAnswer: -120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 105 = 30. Is 848\/20*g\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152351.\nAnswer: 73, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxy when three letters picked without replacement from xxyxyyx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 308492, 308450, 308408, 308366, 308324, 308282?\n\"Answer: -42*a + 308534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**(-4))))\/b**(-2\/3))**(-18)*((b*b**(4\/7)*b*b)\/(b*b**(2\/3)))\/((((b**4*b)\/b)\/b)\/(b\/b**5)) assuming b is positive.\nAnswer: b**(775\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)*f**(3\/17)*f*(f**(-19)\/f)\/(f\/f**(-1\/5)*f))**(-1) assuming f is positive.\nAnswer: f**(2637\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2. Let c(w) be the second derivative of w**4\/12 - 2*w. Determine l(c(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**3 - 22417*t**2 - 273*t + 190 wrt t?\nAnswer: -12*t - 44834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3) + -1 + (sqrt(3) - (sqrt(9)\/sqrt(3) - sqrt(3))) + -1)*2 + 4)**2*-1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-30) - (0 - -4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -109\/7 in -6, -2\/3, -2\/13, -1\/8, 2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/8))\/s*s**(-3))\/((s*s**(1\/6))\/s)**(2\/21) assuming s is positive.\nAnswer: s**(-1583\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/2*(-42)\/28 - 6. Let b(c) be the first derivative of 2\/15*c**s + 8 - 2\/5*c**4 - 2\/25*c**5 + 4\/5*c**2 + 0*c. Determine l, given that b(l) = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by -2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.55813 rounded to 2 dps?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*z + 7 = 2*z, -4*z - 8 = -4*h. Suppose 2*d - 7 = 3*p - 2*p, -h*d = p - 3. Solve -d*k + k = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -477395.\nAnswer: 2\/477395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {m: 2, d: 6, l: 1, o: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6084, -12223, -18362, -24501, -30640?\n\"Answer: -6139*r + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -1 - (114 - 111) - -8 - 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -512 divided by 128\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/12675 and -83\/29735550.\nAnswer: 29735550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4344*r + 78189. Determine a(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 15, 3.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110110010000101111010 + -10100?\nAnswer: 101110110010000101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12125 - -3?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9024 and 20304?\nAnswer: 81216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {y: 1, b: 1, d: 1, x: 12, h: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*3\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i - 13. Let w(a) = -11*a + 25. Let k(d) = -13*t(d) - 6*w(d). Let r = 5 - -7. What is the smallest common multiple of r and k(-9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5 - (-36)\/45. Find the first derivative of -23 + 7 - 18*z - u - 10 wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251218860 = 2*x + 28*x. Let n = -25073962 - x. Round n to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -2*p + 0 - 7\/60*p**4 + 2\/15*p**3 + 7\/300*p**6 + 4*p**2 - 1\/75*p**5. Let n(v) be the first derivative of o(v). Factor n(d).\nAnswer: 2*(d - 1)*(d + 1)*(7*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-21*k**3 + 21*k**3 - 15*k**4) + 0 + 0 + k**4 + k**3 - k**3 - k**4.\nAnswer: -30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/63 + (-13)\/((-4680)\/640). Let l = 131\/605 + -2\/121. Solve l*y**w - 1\/5*y - 2\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637))**2 + 4 + 5.\nAnswer: -14*sqrt(13) + 647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**6\/40 - 7*s**5\/60 + 4*s**3\/3 - 6*s**2. Let v(w) = -2*w**3 - 6*w**2 + 7. Let q(j) = 3*a(j) - 4*v(j). Factor q(g).\nAnswer: -(g - 2)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 22*a + 55. Let n be f(-16). Which is smaller: -40 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 + -916\/3. What is the common denominator of ((-8010)\/567 - -22) + (-10)\/105 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/10273?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 3*h - 14. Let x(g) = -g**2 + g - 1. Let w(z) = -o(z) + 4*x(z). Let l be w(8). Is (-374)\/11*(-7)\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22*7*(-10)\/20. Let s = 81 + f. Solve 0 = -s*p - 7 - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 15 = -m, -4*w + 9 = m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -14*l**2 - 17*l + 20. Let v(r) = -17*r**2 + 2*r + 7. Let g(s) = 9*s**2 - 2*s - 3. Let n(t) = 7*g(t) + 4*v(t). What is 17*n(i) - 6*w(i)?\nAnswer: -i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rypypyprrryy. What is prob of sequence ypy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2 + 92*o - 3. Let x(f) = 2*f. Give x(u(z)).\nAnswer: 12*z**2 + 184*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 228588280 - -6.76.\nAnswer: 228588286.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/10)\/((-8)\/30). Suppose -7 - 41 = -4*f. Let k be ((-39)\/f - -4) + -1. Which is the second biggest value? (a) k (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14399868, 14399924, 14399980, 14400036?\nAnswer: 14400092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.12 times 71065?\nAnswer: -150657.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -12*s + 1. List the prime factors of w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -20 - 10. Let t = x + -8. What is the nearest to -2\/5 in t, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2. Let a(u) be the second derivative of -11*u**4\/12 - 2*u**2 - 597*u. Calculate a(i(n)).\nAnswer: -44*n**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1352445 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2744310.\nAnswer: 2, 3, 5, 17, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**5 - 280*a**4 - 5495*a**3 - 44020*a**2 - 126800*a - 88000 = 0.\nAnswer: -20, -11, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhh when three letters picked without replacement from nknknvahnvhkvnvvv?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.9231 millilitres in litres?\nAnswer: 0.6109231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002314101645 rounded to 6 dps?\nAnswer: 0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 = 6. Suppose 0 = -k + d*k - 16. Let g = k - -33. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -1.74, -35?\nAnswer: -1.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 12450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44577*o*q**4 + 1185*o*q**2 + 1111*o - 2*q + 72356 wrt q.\nAnswer: 178308*o*q**3 + 2370*o*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -21723.\nAnswer: 152061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 5, 2, 1249\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50 and 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 79?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 1 = -11*d. Let c(v) = -32*v - 20. Let t be c(d). Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from jhhhjjjjjhjjhjjjjjh.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -5 (c) 0.09 (d) 1589.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4 - 3330*z**3 + 10008*z**2 - 8*z - 13344 = 0?\nAnswer: -1668, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1229, 4794, 10743, 19082, 29817, 42954, 58499, 76458?\nAnswer: 96837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(3 - (4 + 1)). Suppose 9 = 2*o - z, 59 = n - 5*o. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(425)*1)**2 + -1 - (2 + -1 + (((sqrt(425) + 1)*-2)**2 - sqrt(425))).\nAnswer: -35*sqrt(17) + 13594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3117770*k - 2*k**2 + 10 - 3117327*k - 5 to g*k**2 + w*k + p and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let x(n) = -2*n + 2. What is x(l(f))?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6778447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/34669 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.337 (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -6. Let x = -21.84 - -18.84. What is the third smallest value in x, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.486633 rounded to zero dps?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4 + 2. Suppose -7*s = 4*q - 2*s - 10, -5*q + s = -27. Let n(i) = 40 - 39 + 0*i - q*i. Give n(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + ((sqrt(33) + sqrt(33)*-1)\/sqrt(11) - (2 + sqrt(3)*-2))).\nAnswer: -8*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-5)*10\/4. Suppose -5*z + 135 = -3*z - q*t, 5*t = 3*z - 200. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b + 29*b = 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -91*s**4\/8 + 317*s**3\/6 - 67*s**2 + 3*s. Find the first derivative of z(n) wrt n.\nAnswer: -273","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 4. Let f be l(-4). Let k = -4 + f. Suppose 3*h = h + k. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (10 - 1 - -3) + 3 - -5 - 6.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*d = 17, 85*j - 90*j + d + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21955*s - 922073. What is x(-42)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -1302960\nAnswer: 1\/108580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/12*9*2\/10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 8. Let w be i(-9). Suppose q - 9 = -2*l, -2*l = -4*q - 4 - w. What is the remainder when 14 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-293320)\/(-2820) - 170\/11985?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837459 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001010111 - 10010001?\nAnswer: -11011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*c + c + 26 = 0, 0 = 4*c - 4. Let z(u) = -r*u + 4*u + 0*u. Let g(d) = -7*d**2. Give g(z(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 4*i)*(0*i - 3*i - 2*i) + (0*i - 3*i + i)*(0*i + 0*i + 2*i) - 2*i + 2*i - 2*i**2 + 1 - 2*i**2 - 1.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 32 - 23 + 7 - 16 + s. Let o(a) = -a**2 - 2*a - 1. Let g(t) = 3*t - 11. Let f be g(4). Calculate f*o(i) + 5*j(i).\nAnswer: -i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jooojyyoyjjjjyjyy. What is prob of picking 1 y and 2 o?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1 + 2 = 0. Is (f*-1)\/(9\/(-1683)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010 - -1010000?\nAnswer: 11001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24819 and 0.4?\nAnswer: 24818.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 r = -243 + 654. Let z = -90 + r. Is 320 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333911 is divided by 4796.\nAnswer: 2987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216973 is divided by 310.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1693840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((-504)\/1152)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -63\/38890?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49707 is divided by 2455.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 + -14?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1294 - -a5?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/4 - 6\/(-3). Is r not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 divided by -107\nAnswer: 67\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.4 (c) 0.2 (d) -16 (e) 14.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*l**3*o**3 - 4*l**3*o**2 + 4*l**3*o + 5*l**3 + 69*l**2*o**2 + 16*l**2*o + 2*l*o**2 + 131016*o**4 wrt o?\nAnswer: -540*l**3 + 3144384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - 38\/(-57). Suppose q = -2*m - 2*m - 8. Put m, -3, 0 in increasing order.\nAnswer: -3, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 16 = 0. Let g be s\/(-2)*3\/6. Let c be g\/2*(-200)\/(-4). Solve k - 6*k + c = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27029860 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 16*n**2 + n + 10. What is p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/40*10*(-2)\/66\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 86 in increasing order.\nAnswer: -2, 0, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010000537 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-17))\/((f\/((f**7*f)\/f))\/f)*(f*f\/f**(2\/9))**(-1) assuming f is positive.\nAnswer: f**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 518053 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*c = 21, 5*m + 8 = 9*m - c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 8*x**2 - 5*x + 15. Let p be d(6). Find the common denominator of -137\/42 and (-14)\/(-70) - p\/(-70).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j**2 + 2*j**2 - 2*j**2)*(-376*j - 74*j**2 + 376*j).\nAnswer: -592*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 855?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.107403 to 3 decimal places.\nAnswer: -14.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 26*w - w**2 + 13 - 23 - 17*w. Let x = -1 - -8. Is a(x) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-8 + -6)) + -48?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -33?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 13*m - 10*m to the form r + n*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1380650 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57309 - 3?\nAnswer: 57306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffeefeee. What is prob of sequence ef?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 + 17 + -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o - o)*(0 - 1 + 3)*(-327*o**3 - 1307*o**3 + 401*o**3).\nAnswer: 4932*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13367 - 4?\nAnswer: 13363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 * 1.7\nAnswer: -0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, 223, 642, 1251, 2062, 3087, 4338?\n\"Answer: 2*t**3 + 77*t**2 - 4*t - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.73 - 3.7523. Let p = 105.5377 - k. Let a = p + -110. Round a to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*u + 133*u = -6. Suppose -5 = 5*d - 7*r + 10*r, -16 = -3*d + u*r. Solve 3*g = -d*j - 0 - 2, -3*g + 5*j = -5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109070817996 take away 6876?\nAnswer: -109070824872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 432 divided by 18\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/((-261885)\/(-4108)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/11, 46, 346 in increasing order.\nAnswer: 14\/11, 46, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = -2, 4*v - 4*k - 64 = 0. What is the remainder when 80 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 425\/47, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -36. Which is the nearest to 1? (a) -1\/3 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-33))\/(30\/495)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 12:40 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 3*n**3\/2 + 9*n**2\/2 - 5*n - 8. Let y(m) be the first derivative of v(m). What is the derivative of y(t) wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67570 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 78*12\/20*15\/6. Calculate the greatest common factor of 156 and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009943 to five decimal places.\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5916299 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5678630 divided by -135\nAnswer: -1135726\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + 17 - 3*(-2)\/(-3). Suppose -8 = -z*y + 2*y. Factor -8*w + 6*w - 12*w**y + 10*w**2.\nAnswer: -2*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 24*j + 5 = -22*j, h + 2*j - 7 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2120, -3, -1222 in decreasing order.\nAnswer: 0, -3, -1222, -2120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 16 = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(3) + sqrt(20))*-6 + sqrt(20))\/(sqrt(4) - (sqrt(40)*-4)\/sqrt(10)).\nAnswer: -11*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - -1. Let p be ((-4)\/10)\/(2\/(-20)). Let m(q) = q**2 - 3*q - 2. Let o be m(p). Solve -o*v - u = -7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 14169?\nAnswer: -13\/4723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*b**3 - 5077*b + 37*b**3 + 5077*b.\nAnswer: 128*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36366, 72980, 109606, 146250, 182918, 219616, 256350, 293126?\n\"Answer: c**3 + 36607*c - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27226060 to the power of 1\/2, to the nearest integer?\nAnswer: 5218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 1117*g + 72923. Calculate q(-483).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*l - 23 + 179 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29.9 times -12\nAnswer: -358.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -521.0273 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 103 + 60*l + 2*l**2 + 11*l.\nAnswer: 2*l**2 + 71*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*n + 54*n + 374*n - 12273*n**2.\nAnswer: -12273*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from jtgdjtjjojojopdtjo?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 58*i - 3763. Calculate h(40).\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77854 and 12773866?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 1:37 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/5)*o)**34)**(-16) assuming o is positive.\nAnswer: o**(-4352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20527.34 litres in millilitres?\nAnswer: 20527340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 78*z + 390. Let y be s(-5). Solve y = m + 4*a + 6, -5*a - 5 = -0*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523, -702, -879, -1054, -1227, -1398?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 - -0.98. Sort 2\/11, b, -2.\nAnswer: -2, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001 (base 2) in base 10?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 s, and 1 v when four letters picked without replacement from eebsv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 20880 = -2*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*0\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11982 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + (1 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*q + 160. Is q >= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**4 + 4*i**4 - 3*i**4)*(-1 - 2 + 12)*(6 - 3 - 4).\nAnswer: -90*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4289 = 4*u - 1083. Suppose -2*c = -5*z - 3906 + u, -4*c = 4*z - 5140. Suppose 0 = -3*b - 2*l + 1429, -4*l + c + 137 = 3*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3\/3 + 683*r**2\/6 - 433*r\/6 - 43 = 0. Calculate r.\nAnswer: -86, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + 1. Suppose 29*j = z*j + 124000. What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -375.93 - -380. Let j = 1.93 - 2. Let z = d + j. Which is the closest to -1? (a) z (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 3*n**2 + 5*n - 45. Let l be i(5). Solve -6*j - 4*j + l = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -0.05. Let q = 10396 + -31186\/3. Which is the closest to 2? (a) -2\/9 (b) 2 (c) q (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3 + 7. Let s(f) be the first derivative of -f**3\/3 + 5*f**2\/2 - f + 417. Determine s(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -5.07. Which is the biggest value? (a) h (b) 0.04 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1842, 1807, 1748, 1665, 1558?\n\"Answer: -12*s**2 + s + 1853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -133422324213?\nAnswer: -133422324223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/2 - 68943*d - 6198795\/2.\nAnswer: -3*(d + 45)*(d + 45917)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 3:17 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 9.05. Sort -4, j, -5.\nAnswer: -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -6) + -8 - (-1 + 16 + 1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105321.\nAnswer: 3, 35107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0*a + 207. What is a rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(-2)*o*o*o**4*o**2*(o**5\/o)\/o*o assuming o is positive.\nAnswer: o**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.9 - -3.1. Let t = -25 + f. Let n(w) = -w - 5. Let m be n(-3). What is the closest to 0 in m, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -416, -623?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -262\/337687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(662*m + 69*m - 1302*m + (-2 - 1 + 1)*(-2*m + 4*m - 4*m))*(-2 + 0 + 9) to the form n*m + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2352\/504)\/((-602)\/(-6))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(-6*c + 6*c - 6*c**2)*(3*c**2 - 5*c**2 + c**2)*(0*c - c + 3*c).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -82*p**2 + 2*p + 1. Let n be f(-1). Let i be ((-3)\/(-6))\/(1\/(-232)). Let g = n - i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (14\/(-2) - -1). Solve y*v + 4 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*j - 84, 7*q - 32 = 5*q - 2*j. What is the first derivative of q + 33 + 23*r**4 + 18*r**4 + 10*r**4 wrt r?\nAnswer: 204*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w + 60. Suppose 3*s + t = 23, -5*s + 40 + 0 = 2*t. What is the least common multiple of 10 and ((-2)\/s)\/((-2)\/w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**2 + 38*z - 2. Determine p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(12\/1544) - -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + 15.8. Let u = v + -17.4. Suppose 5*n = h + 3, -2*h + 3*n - 6 = -0. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.31 and -2.06721.\nAnswer: 0.6408351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 347*s - 4020.\nAnswer: -(s - 335)*(s - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.64 - 0.06. Let q = 7.7 + u. Let f be (-6)\/8*(-2)\/(-6). Is q smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -51966.34774 and 0.1?\nAnswer: 51966.44774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 443 + -302. Let x = 199 - y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.04, 2\/9, -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffo when three letters picked without replacement from vofovfof.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*t + 72*t - 35*t - 7*t + 18*t.\nAnswer: 91*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15534461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 7*t - 27. Factor 0*x**2 - 4\/7*x + 2\/7 + 4\/7*x**t - 2\/7*x**4.\nAnswer: -2*(x - 1)**3*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56891062.00438 - 56890558. Let k = d - 504. Round k to 4 decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*q + 9 = 0, 14 = -7*a + q + 48. Let b(c) = 4*c - c + c**2 + 0*c - 2. Let g be b(-4). Solve -a*x + g = -8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 2107.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 4. Let k(v) = 5*v - 8. Let z(l) = -4*k(l) + 7*y(l). Let d be z(-2). Solve 3*t - 7 = d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/10)\/(3\/56). Let j(t) = 3*t**2 + 2*t + 3. Let l be j(4). Let n = l + g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 - -4) - (-14 + 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*r - 925*r + 307*r + 315*r + 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a9 + 7a92?\nAnswer: 7b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 + 2*s**4 + 6*s**3 - 2*s**2 - 4*s = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555309949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-3))\/((-5)\/(-10)). Solve 0 = 4*w + 4*g + 16, 0 = -w - v*w - 5*g - 22 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27704 and 22952764.\nAnswer: 45905528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 3. Let b be r(-3). Let a be -2 + ((-162)\/(-21))\/b. What is the smallest value in -0.1, 1\/3, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*i - 5 = 0, 2*u = i + 9 + 6. Suppose -3*z + u*z = 4. Suppose y - z*y + 3 = 0. Solve 0 = -0*k - 4*k - 4*a - 32, -2*k - 19 = y*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 0*n**2 + 2 - n**3 + n**2 - n. Let x be q(3). Let c = -6 + 4. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44841 is divided by 2802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a960a + 10?\nAnswer: 3a961a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(24\/63)*(-942)\/1099.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 9926*z**3 - 9922*z**3 + 22)*(3 - 3 + z)*(0 + 4 - 3)*(-3 + 4 - 2).\nAnswer: -4*z**4 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 142*b**2 + 2019*b - 40. What is the least common multiple of 2051\/3 + (-2)\/(-6) and a(16)?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + f - 34 = -49, -3*f = 3. Suppose -o*y - 168 = -28*y. Solve -4 = -y*r + 12*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8516.323 days?\nAnswer: 735810307200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/1943 and ((0 - 2) + 1)\/((-10988)\/(-1353)).\nAnswer: 7772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3*t - 2*j**3 + 12*j**2*s - 155583*j**2 + j*s*t - 2*j*s - 335500*s*t + 5*t - 1 wrt t?\nAnswer: -j**3 + j*s - 335500*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13499, 30801, 59647, 100031, 151947, 215389?\nAnswer: 290351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by -6\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)\/i)\/i**(-19\/5)*i**(-15\/2)\/(i*(i**(-18)*i)\/i) assuming i is positive.\nAnswer: i**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205095, -16, 0 in increasing order.\nAnswer: -16, 0, 205095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23494 - 9471. What are the prime factors of o?\nAnswer: 37, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d = -43*d - 11. Solve d = -3*c - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*u - 23 = 0, 3 = 3*b - 2*u - u. Let l = -2.905 + 0.005. Let w = 3.1 + l. Sort w, b, 1\/2, 5 in decreasing order.\nAnswer: 5, b, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 272*c**2 + 6*c + 19. Let b(l) = 815*l**2 + 17*l + 58. Let j(r) = -2*b(r) + 7*s(r). Is j(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 97323821 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 + 513*q\/5 + 3402.\nAnswer: 3*(q + 45)*(q + 126)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21295 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 36 = 4*i, 4*m + 3 = 5*i - 1. Suppose -2*z = -0*z + 4*l + 10, 3*z - m*l + 15 = 0. Suppose -5 = -5*p + 5. Put z, 5, p in increasing order.\nAnswer: z, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094687?\nAnswer: 11, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504574295 and 2230.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10123, -9745, -9365, -8983?\n\"Answer: w**2 + 375*w - 10499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 12) to base 16.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 165 = 65. Let o = -13 - -21. Calculate the greatest common factor of o and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyuu. What is prob of sequence uuyu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-2))\/((-7)\/21). Let j(a) = 4*a - 5*a + s*a. Let p(q) = -2*q**2 + 4*q - 4. Let r(b) = 5*b**2 - 9*b + 9. Let h(f) = -9*p(f) - 4*r(f). Give j(h(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -221, 51, 325, 601, 879, 1159, 1441?\n\"Answer: q**2 + 269*q - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 325100 (base 6) to base 11\nAnswer: 19349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 69?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 + -7436?\nAnswer: -7461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 2*q**4 - 2*q**4 + (-33*q - 18879 - 18901 + 37843)*(q**3 + 3*q - 3*q).\nAnswer: -31*q**4 + 63*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2*136\/102*5\/(-12)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-7 - (14 - 12)) + (2 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 + c**2 + 2*c + 1. Let g be u(-1). Suppose 4*w - g = -w. Let p be 10\/(w + (-3)\/(-3)). What is the highest common divisor of p and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from {q: 1, h: 1, x: 1, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4570118 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -330 - -794770?\nAnswer: 794440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 6. Let p be (2\/(-2) + 1)\/1. Suppose -f + 0*f - 7 = p. List the prime factors of x(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (sqrt(136) - (sqrt(136) + -4*(sqrt(136) - (sqrt(136) + -2*sqrt(136)))))\/sqrt(8)).\nAnswer: 15 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - 15 - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/33*6\/(-4). Find the second derivative of 31 - 14*d + 48*d**2 - 32 + w*d wrt d.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 7. Let q be -1 - (o - -4 - -4). What is the units digit of (-1 - q)\/(3\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 4)*180\/(-8). What is the greatest common divisor of 30 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 - (21 - 6) - 11) + 5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) -1\/3 (c) 54 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3094\/(-182) - (8 + -6 + -49).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t**2 + 25*t**2 + 0*t - 20*t - 12*t**2 + 43*t**2 to the form d + u*t + f*t**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3806788, -3806789, -3806790, -3806791, -3806792?\n\"Answer: -p - 3806787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 805.9 + -805.8. What is the biggest value in 0.9, 27, -0.5, p, -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217429 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -224 + 260. Let x = -36 + r. Let i(j) = -j**2 + 9. Calculate i(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450009 is divided by 1125.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1520*v - 4403 - 506 - 12490 = 6921 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 11*b**2 + 11*b - 8. Let t be w(10). Let r be ((-10)\/t)\/(1\/(-2)). What are the prime factors of 12\/(-10)*r*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -877702*j*t + 31*j - 4542 wrt t?\nAnswer: -877702*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101910882 to the power of 1\/2, to the nearest integer?\nAnswer: 45847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443809.6 months in years?\nAnswer: 203650.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -46627 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 56. What is the nearest to 1 in -4, -0.4, 0.127, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Differentiate 3 + 0 - 2*t**2 - b with respect to t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 0*s + 198*s**2 - 6*s - 199*s**2 - 7. Let j be n(-3). Suppose -j*w + 34 = -64. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + 18 + -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 + m + 1. Let g(a) = -8*a**3 + 6*a**2 - 6*a - 8. Determine -g(p) - 6*s(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(4\/7))**(-1\/10)\/(p**(-3\/7))**35 assuming p is positive.\nAnswer: p**(1039\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -12?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657 = -8*z - 351. Let m(b) = -b + 2. What is the lowest common multiple of 48\/5 + (z\/35 - -4) and m(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 7079036?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170000 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (228 - 244 - (-45 + 0)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 862855 and 623.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/54 of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minus -1089227.89?\nAnswer: 1089879.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*q - 36 = -5*q, -3*q = -3*k + 12. Let s(w) = 2*w - 1. Let g = -7 - -5. Let n = -3 + g. Let v(m) = 3*m - 2. What is k*s(p) + n*v(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 18*z = 350. What is the remainder when 149 is divided by z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(-7))**(8\/13)*(i**(1\/6)\/i**(-1\/2))\/((i*i**6\/i)\/(i*(i*i**(6\/5)*i)\/i)) assuming i is positive.\nAnswer: i**(-836\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*w + 514*w - s = -21, -2*s = -4*w + 28. Solve -5*o = w*h + 14 - 34, -4*h - 5*o = -16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4\/4 + 5*n**3\/3 - 2*n**2 + 8*n + 54. What is h(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*c + 4*c. Suppose -a - 5*u = 2 - 8, -4 = -a - 3*u. Suppose -13*v + a - 14 = 0. What is the nearest to v in 0.4, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827264167 to the power of 1\/3, to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74 + 35 - 1)*(3*d - 6 - 4 + 11)*(4 + 1 - 3) to the form c*d + r and give r.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**20*h**14*(h**(-2\/19))**(38\/3) assuming h is positive.\nAnswer: h**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**5 - 124*r**4 - 68941*r**3 + 73438587*r**2 wrt r.\nAnswer: -120*r**2 - 2976*r - 413646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1014 = -9*p. Suppose -41 = -7*a + p. Calculate the highest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 10. Let k be u(8). Let y be ((-6)\/4)\/(1*k\/(-8)). What is the units digit of (-2 - 0) + 69 - (y + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/(-56) - 693845\/(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -465*a**4\/2 - 797*a + 1026. What is the first derivative of r(u) wrt u?\nAnswer: -2790*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 8) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9192990.3 + 50643.7?\nAnswer: -9142346.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 0*f + 3*f + f - 3 + 3 + (-f + 0*f + 0*f)*(5 - 3 - 1) - f + 0*f + 4*f to the form a + c*f and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2 - 11 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -0.2. Let n = -90.44 - -90.84. Put n, 0.5, -0.3, l in descending order.\nAnswer: 0.5, n, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + (5 - 7 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 11446 (c) 9 (d) -0.4 (e) -5\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/15, 0.2, 9\/11, 1\/4, 0.025?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-40)*-4)\/(3\/(-5))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/2 - 5875*q\/2.\nAnswer: 5*q*(q - 1175)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + 5. Let q = -45.5 + u. Let b = 6.5 - -0.5. What is the third biggest value in b, q, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0)*-5 - sqrt(7)) + sqrt(7) + sqrt(63) + (sqrt(63) + -1 - sqrt(63)) + sqrt(7).\nAnswer: -sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3092 + 3094. Solve x + 5 = 4*f - v, 0 = 3*f - 2*x - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*d - i - 1, -d - 7 = -5*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 + 62*f**3 + 71*f**2 - 1675944*f.\nAnswer: -12*f**2 + 372*f + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21514 from 0.5.\nAnswer: 21514.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5938?\nAnswer: 5\/5938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15807 and 2805.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0.29, 1.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 - -162. Solve z = -4*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 68. Let u be h(-29). Let j = -47 - -47. Put u, j, 1, -1 in descending order.\nAnswer: u, 1, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 + (2 - 22) + (59 + -37 - 29))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3615889 to the power of 1\/6, 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 -73\/18 and 5\/4598.\nAnswer: 41382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.072, -2\/7, -5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1 - 12423*q + 2*q**2 - 1 + 12443*q = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxxxxqxmxmxqqxxxq. Give prob of sequence qm.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*h - 20 = 0, -2*d = -5*d + 3*h + 12. Suppose -11*r + 1972 + 2527 = d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10881 is divided by 227.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -661, 17, 2, -82 in increasing order.\nAnswer: -661, -82, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11212221 + -1100?\nAnswer: 11211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(425)*-1)**2 - 1*sqrt(612)*3.\nAnswer: -1275 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13992 and 2226?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 284, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 16*g + 18. Let c be v(-15). Suppose 4*w - 18 = c*w. Calculate the remainder when w is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g = -34*g - 52. Suppose -g*c - 3*c + 5665 = 5*z, 3*c + 2266 = 2*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmyccmmy. Give prob of picking 2 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1041\/7 - -149. Factor n*q**2 - 2\/7 + 0*q.\nAnswer: 2*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -8 - 16 - (0 + 1 - (-30 + 66)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1542\/7*u - 220 - 2\/7*u**2.\nAnswer: -2*(u + 1)*(u + 770)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 3 - 8*m**2 + 17 + 2*m**2 in the form j + n*m + s*m**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 44*n**3 + 2*n**2 - 1. Let f be m(1). Let u = 1 + -1. Let y be (u - 2)*(-10)\/4. Calculate the greatest common factor of y and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g**(-7\/2)\/g)\/g)\/g*g)\/g*g\/(g**(-3)\/g))**(1\/70)*(g\/(g*g**6*g))\/(g**(-3)*g)*(g\/g**(-2\/3))\/((g\/((g\/(g\/g**4)*g)\/g))\/g) assuming g is positive.\nAnswer: g**(283\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -i - 23, 0*i + 3*k = -i - 18. Let r(x) = x**2 + 2*x - 1. Let s be r(i). What are the prime factors of s\/4 + 26\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 180727?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95177 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 + 63485*s**2 - 444790*s - 1905600 = 0.\nAnswer: -12704, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8*z + i + 15, 4*z = -i + 17. Solve 8 = 4*d, 2*w + 4 = z*d - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b**4 + 14*b**3 + 9*b**2 - 4*b - 20. Let j(d) = -4*d**4 + 5*d**3 + 3*d**2 - d - 7. Let q(a) = -8*j(a) + 3*m(a). Let q(r) = 0. What is r?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -176*k**2 - 13201*k - 51. Give c(-75).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22451621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167565076?\nAnswer: 2, 7, 73, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, j: 10}. Give prob of picking 1 t and 3 j.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (135\/(-30))\/((-3)\/2654)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, j: 3, m: 6, d: 2, x: 3}. Give prob of sequence dc.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:52 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 7935 and 366 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 17. Let m(x) = -x - 27. Let l be m(d). What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307938.1 millilitres in litres?\nAnswer: 307.9381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 389*w**6\/120 + 90*w**3 - w**2 - 411*w. What is the first derivative of n(x) wrt x?\nAnswer: 1167*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2038246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/w**(-2))\/w)\/w)**(-27))**(-3))**16 assuming w is positive.\nAnswer: w**1296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - 19)*17\/(-1). Does 12 divide (y\/51)\/((-1)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18368, 18321, 18244, 18137?\n\"Answer: -15*x**2 - 2*x + 18385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -27. Let f(i) = 5*i - 76. Let u be f(23). Calculate the highest common divisor of u and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5\/3, 15, 0.3, -0.04098 in ascending order.\nAnswer: -1, -0.04098, 0.3, 5\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-24)\/(-396)*9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide (3\/1)\/(534\/2984882)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -236 - -244. Calculate the remainder when 49 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43681 or 43575?\nAnswer: 43681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = c + 7, -3*u = 4*c + 21 - 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 11746*r - 23484.\nAnswer: -2*(r + 2)*(r + 5871)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 39*k + 43. Let r(a) be the second derivative of 19*a**3\/6 + 21*a**2\/2 - 9*a. Let s(o) = -7*r(o) + 4*u(o). What is the units digit of s(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -42. Is (-125)\/(-3) + 2\/v a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*v + 4, -3*y = y + 2*v - 32. Suppose y*n = 15722 - 2336. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 104 + 504 = 0. Let m(s) = 4*s + 12 - o + 68. Give m(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 14. Is 381\/k*22\/(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6682 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-132)*(-270)\/(-90).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Let t(k) = 6*k - 43. Let y = -10290 + 10289. What is y*t(d) - 4*l(d)?\nAnswer: -2*d + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1452))**2.\nAnswer: 13068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + -21 + -75 + 51?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 113450 to the nearest one thousand.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 147*r + 25. Let n(l) = 49*l + 9. Give -4*m(g) + 11*n(g).\nAnswer: -49*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3*k**3 + 78*j**3*k**2 - 42*j**3*k + 72*j**3 - 4*k**3 wrt k.\nAnswer: 6*j**3*k + 156*j**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/20*0\/1. Let n(i) = -i - 9. What is n(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 5*i**2 + 2*i + 5. Let o = 55 - 27. Let j be (-16)\/(-6) + -3 + o\/(-6). Determine r(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 11 - 24*h**2 - 25.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2 - 8*t**3 - 3*t - 4*t**2 + 3*t**2 + 3*t**3 + 4*t**3 + t. Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55816 + 555953\/10. Let w = 221 + u. Let n = 0.1 - 0. Does n = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6918?\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) - 175\/(-21). Let g = l + -6. Let z(r) = -r - 4. Let c be z(-6). What is the greatest common divisor of g and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, n: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2957050197?\nAnswer: 3, 328561133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + -7. Suppose -5 = -5*h + 10. Let c be -3 - k - 0 - h. Calculate the greatest common factor of 40 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87\/348 + ((-16475)\/(-4))\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 714 and 17584?\nAnswer: 896784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/24871 and -97\/2584?\nAnswer: 198968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 539230 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-49)\/36) + (-1)\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0. Let d be 2*(4\/6 + (-38)\/48). Which is the second smallest value? (a) -1 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 158?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -1 (c) -483 (d) 11 (e) -0.3 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3650\/11 or 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101110110011011010 (base 2) in base 8?\nAnswer: -4566332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-4)\/(-12) + (-610)\/160.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 98 + 38 = 0. What is the third derivative of 13*n**2 + 2*n**2 - 18*n**3 + 3*n**f + 2 wrt n?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*-2 - -1. Let k be r*1\/(-1) - 0. Suppose 9*y - 11*y + 148 = k. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 291687838, 291687839, 291687840, 291687841, 291687842, 291687843?\n\"Answer: m + 291687837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 + -5 - (0 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9475 - 20*j - 9664 + 30*j as l + a*j and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78.873 - 79. Let n = 0.12904 + h. What is n rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-4) + 1 - 20\/(-2). Solve 2*f + x = -1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eueugkgwwuwgegoooueu. What is prob of sequence kg?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*q = 70, 0 = -3*k - 5*q - 7 - 41. What is the remainder when k\/(11\/(-54)) - -2 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3 - 14*h**2 + 22*h - 10 = 0. Calculate h.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373784225 by 25.\nAnswer: 14951369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178 + -177.6. Which is the biggest value? (a) 0.2 (b) 0.07 (c) i (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416890.9 centimeters to meters.\nAnswer: 4168.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16140686 is divided by 171.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6673.79 + -6613. Round c to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**4*s**2 + j**3*s**2 - 4*j**3*s - j**2 - 24*s**2 wrt j.\nAnswer: -96*j*s**2 + 6*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 9:41 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:46 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11320 (base 5) to base 7.\nAnswer: -2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + 1554\/140 + (-3)\/5. Which is the closest to -2? (a) -0.1 (b) -2 (c) 2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 6:09 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 + 4*c + 1. Let m be 2\/(-20) + 244\/40 + -3. Give i(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -404405 - 12215?\nAnswer: -421024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-600)\/16) - -56*3\/(-270)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -514020*w**3 + 651681*w?\nAnswer: -3084120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 17. What is the second derivative of 4 + 5*j**3 + c*j + 4*j - 4 wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -31*f**2 - 165*f + 223. Calculate i(-4).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/8)\/((-1)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (620\/60 + -10)*0\/(-1). Let x be 11 + g - (-117)\/(-13). Let h be 0 + ((-6)\/4)\/3. Which is the closest to h? (a) 3 (b) -5\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3684*w + 2 + 9092*w - 5746*w + 11528*w.\nAnswer: 18558*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-237)\/6 - (-5 - -7) and -43\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 764 + -512. Suppose -6*d + 300 = -n. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*2 + 119\/(-136)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-3 + 3\/2). Let i = 0 + h. Solve -y + 7 = 3*k + 2*k, 5*k - 1 = -i*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335772858 to the nearest integer?\nAnswer: 18324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*g + 1709 + 1083 = -277 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.09, -0.1, 0.019, 0.07, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**2 - 2*p**2 + 0*p**2 + p**2 to the form r + b*p**2 + j*p and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 = 0, 2 + 4 = 2*w - g. Let j(t) = -3*t - 13. Let a be j(-5). Suppose -4*n - 632 = -4*h, -a*h + w*n = 3*h - 784. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7388 is divided by 7381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + a1d2?\nAnswer: a1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {i: 1, x: 4, f: 5, m: 4, t: 4, w: 2}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 2. Let p(x) = x + 3. Calculate 3*p(r) - 5*s(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3562 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*-2*(-4 + sqrt(1300) + -1 + 2 + -1))**2.\nAnswer: -21056 + 1280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -15277453 and 0.1.\nAnswer: -15277452.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -215 (base 8) to base 9\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45171472 + 14693098 = -156*f + 17835918. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 5*z + 4 - 5*z + 46 - 46 + 8*z + (3*z + z - z)*(-5 + 0 + 1) + z - z + z in the form h + i*z and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 7:34 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439422?\nAnswer: 2, 3, 73237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -20*c + 11. Let i(g) = 7*g - 4. Let u(m) = 4*f(m) + 11*i(m). Let a(b) = 2 - 2 - b + 0*b. Determine u(a(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3778810.769 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/60*210\/4 + 4. Let o = 596\/13 - d. What is the nearest to -0.1 in o, 0, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3074*b**6 - 24*b**2 - 36*b wrt b.\nAnswer: -368880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 10*y**2 - 54*y - 194. Calculate h(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-54)*3*(-9)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.232807 rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2804530 - t**3 - 8413617 + 2804553 + 2804534.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1. Let d(g) = g + 3. Let q(n) = d(n) - 4*z(n). Let t(i) = 8*i - 3. Give 6*q(v) - t(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 6*u + 2. Let q be (2\/(-4))\/(4 + 282\/(-72)). Let t be y(q). Suppose t*x - 5 - 2 = r, -2*r = 5*x - 31. Solve -r*k = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62668 is divided by 20419?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by 59.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178586 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7131, 17808, 28485, 39162?\nAnswer: 49839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 60, -8, -1, -4, -3648 in decreasing order.\nAnswer: 60, 0, -1, -3, -4, -8, -3648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u - 384 = 0. What is the common denominator of ((-13)\/12)\/((-4)\/(-18)) and (-118)\/u + (-6)\/9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 160\/25 + (-6)\/(-10). Let r(t) = -t**2 + 9*t + 10. Let s be r(a). What is the highest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37104587?\nAnswer: 13, 19, 150221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**2 + 7*u + 96. Let b be t(-12). Calculate the highest common factor of b and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*s = 133 + 274 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*b - 8294 = -157*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4790887 = 283*t - 579038. What are the prime factors of t?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -296072 or -296069?\nAnswer: -296069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 1, -5, -6 in descending order.\nAnswer: 7, 3, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591953 is divided by 591947.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - -74. Let p = b - 297. Let t = p - -176.9769. Round t to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 6512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1739292014.\nAnswer: 2, 31, 73, 384289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33200011023 (base 4) to base 7.\nAnswer: -46353060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(256)\/sqrt(8)*-4 + 2)**2.\nAnswer: -64*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 305653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2498 = 14*c + 3480. Let z = -54 - c. Is 25 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1 - 28*d**2 + 49*d**2 - 2*d - 19*d**2. Determine v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272038, 544080, 816122?\nAnswer: 1088164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12000879.\nAnswer: 3, 11, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 7 - 3 - -4. Suppose -2*y = y + m. Which is greater: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.8051 - 0.0551. Round y to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -7. Let r be (-6 - 3) + x\/2. Let n = -4 - r. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 578, 1149, 1730, 2327, 2946, 3593?\n\"Answer: w**3 - w**2 + 567*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240308.521 minus -13?\nAnswer: 240321.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250439, -1001677, -2253741, -4006631?\nAnswer: -6260347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 772*z - 323339. Calculate a(253).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 16*p**4 + p**2 - 9*p**4 - 6*p**4 - 2*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:01 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 9*n - 27. Give r(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -348*g**3 - g**2 - 1742*g wrt g.\nAnswer: -2088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 260\/8*(-37)\/74 and 17\/5458.\nAnswer: 10916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(245) - 5*(sqrt(5) + sqrt(125)))*2)**2.\nAnswer: -368*sqrt(5) + 10596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 14, 1\/4, 4, 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5244425 (base 6) to base 16\nAnswer: 3e441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 169, 399, 733, 1177?\nAnswer: 1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -363 from -37101.\nAnswer: -36738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 16 + 19 - 35.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.665 * -5\nAnswer: 3.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2784 divided by -18.\nAnswer: -464\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -7, 20, -17, -3 in decreasing order.\nAnswer: 20, 5, 3, -3, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.0245 and -4?\nAnswer: 5.0245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**4\/6 + 278*b**3\/3 - 19321*b**2 + 5371238*b\/3 - 5883. Suppose r(p) = 0. Calculate p.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 25 = -3. Calculate the highest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 2 + 7 - 2 + 5*p. Let q(k) = k**2 + 38*k + 354. Let j be q(-16). Determine s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233738669591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5136045 and 8265?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(-21 - 372\/(-18))*-8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 5:12 AM?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 102211120222?\nAnswer: 102211120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 422201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - b = -18. Let w be -25*b*2\/10. Let h(u) = -u + 28. Let x be h(w). Solve -z = 5*d + x, -6 = d + 2*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4016506065 to the power of 1\/2, to the nearest integer?\nAnswer: 63376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5455628 is divided by 1147.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/393 + -18289\/10218. What is the common denominator of u and -13\/10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbgp when four letters picked without replacement from {p: 2, g: 1, q: 1, b: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1 - ((-4 - (2 - 2)) + 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.58 (b) -1\/4 (c) 3 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*q + 4*q. Let f = q - 1. Solve -j + 12 = -f*y, 3*j - j = -4*y - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4 = -3*p, 5*p + 92 = 24*j - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -820, -2970, -6326, -10894, -16680, -23690, -31930, -41406?\n\"Answer: -p**3 - 597*p**2 - 352*p + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, e: 8, k: 1, w: 1, f: 4, d: 2}. Give prob of sequence df.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 23*s**2 - 39*s + 124. Let a(i) = -7*i**2 + 13*i - 42. Calculate 7*a(p) + 2*q(p).\nAnswer: -3*p**2 + 13*p - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -n - 20*t + 5, 3*n - 5*t + 25 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32655, 130615, 293883, 522459?\nAnswer: 816343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*1\/1*4\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 5*t + 2. Let o be d(4). Let g(s) = 3 + o - 3 - s. Calculate the remainder when 2 is divided by g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40670952 divided by 109?\nAnswer: -373128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 280\/21629 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**9\/241920 - u**8\/80640 + u**5\/20 - 2*u**2. Let v(f) be the third derivative of r(f). What is j in v(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 (base 7) in base 14?\nAnswer: 16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 7*v**2 + 2*v - 10. Suppose 5*r - 95 = r - 5*x, x - 63 = -3*r. Calculate the lowest common multiple of r and o(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*q + 118*q**3 - 161*q**3 + 622*q.\nAnswer: -43*q**3 + 791*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - 21 - -27 - 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -2*m + 20, -5*m + 2 + 18 = -l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3407*p**3 + 421*p**2 + 4*p - 1283990?\nAnswer: -20442*p + 842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 4*c - 17, -37*u - 18 = -35*u - c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(2\/4)\/(18\/1134*-15)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280278 and 1449.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 - (-2)\/8. Let l = -180 - -177. Which is the second biggest value? (a) k (b) l (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.306926 kilograms in milligrams?\nAnswer: 306926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1313 divided by 58.\nAnswer: 1313\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 685, 1349, 2013, 2677?\n\"Answer: 664*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9313 = 994*d + 802 - 2423 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 30 and 51.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -j + 574, j + l + 1155 = 3*j. Let n = -298 + j. Suppose -4*q - n = -4*o, -o + 4*q + 14 = -65. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-120)\/(-18))*(-4)\/6*(-80)\/28.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 284 and 0.02?\nAnswer: 5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -13. Suppose -5*g = o - 11, -2*o + 92 = z*o + 4*g. Suppose -o = -b - 1. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*n**3 + 132*n**3 - 3*n**2 - 64*n**3 + 5*n**2 - 44*n**3 + 2*n**4 to v*n**2 + t*n + k + m*n**3 + q*n**4 and give m.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 240, 345, 482, 645, 828, 1025?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*n + 3*n - 108 = 0, 3*n - 118 = -5*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/240 - 7*a**5\/120 + 6*a**2 + 5*a. Factor f(r).\nAnswer: -r**2*(r + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-233)\/(-1631)*(-7)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27456586.\nAnswer: 2, 211, 65063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z + 3*z + 0*z - 202 + 382 - 210.\nAnswer: 9*z - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3971?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 877*f**2 + f - 6. Let d be h(-5). Suppose d = -3*c - j, 0*c + j + 14610 = -2*c. Let p = c + 116965\/16. What is the common denominator of 3\/2 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71202801 equal to 71202802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 99*(-38)\/(-5016)*(-2)\/(-9)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 115 (b) -0.01 (c) 117\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/14 - 80757\/84. Let b = n + 971. Let o = 569\/60 - b. Calculate the common denominator of o and -37\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 156, 269, 382, 495, 608?\n\"Answer: 113*q - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -147, -146, -145, -144?\n\"Answer: s - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2515657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - -39) + 2 + 7 - -7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyu when three letters picked without replacement from {u: 2, a: 4, v: 6, l: 3, f: 2, y: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-81)*(0 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -3 - 3)\/(5\/(-75)). Let b(l) = 15 - 79*l**2 - 74*l - d + 74*l. Let r(t) = 2*t**2. What is r(b(m))?\nAnswer: 12482*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223154984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k - k - k + 3*k**5 + k**5 wrt k.\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1 + sqrt(2))*-6 + sqrt(2) + 2*sqrt(2)*6 - (-3 + (-2*sqrt(8))\/sqrt(4)).\nAnswer: 3*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 108*p - 3111. Give j(134).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3362787, -13451129, -30265033, -53804499?\nAnswer: -84069527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -487 and -2.03683.\nAnswer: 991.93621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 131, 202, 275?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877.652ml to litres.\nAnswer: 0.877652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 12:37 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1814104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m - 1. Let y(i) = i**3 - 2*i + 3. Let d(t) = 2*w(t) + y(t). Calculate d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {d: 3, q: 1, p: 1, i: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/68 and 93\/580.\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -4*j - 2*t - 46, 0 = 5*t + 20. Let s(n) = -10*n + 4. Let k(g) = -2*g + 1. Calculate j*k(y) + 3*s(y).\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -l + 1599, -x + 4*l = l - 416. Suppose 4*v = 97 - x. Let m = v + 390. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9018 + -1.406. Let h = j - -2.3. What is h rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -41*i - 41, 20*d - 2 = 21*d + 2*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*a**2*i*r + 14*a**2*i + 3*a*i*r + 19*a + i*r - i + 1 wrt r.\nAnswer: -75*a**2*i + 3*a*i + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*x**2 + 20 + 89*x**3 - 48 + 28 wrt x.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Suppose 5*j - 15 = -b, 4*j = 4*b - 8 + 44. What is the second derivative of 3*x**q + 3*x**4 - 4*x**j - 3*x wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f*f**1)*f\/(f*f**(-2\/23))*((f**(-2\/11)\/f)\/f)**(-49) assuming f is positive.\nAnswer: f**(26564\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -306 - -312. Suppose 4*n = 3*p + 204, j*p - 290 = -5*n + p. What is the remainder when 103 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjzj when four letters picked without replacement from {z: 2, j: 10, l: 4, u: 1}?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/9 in -5\/2, 0.125, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 <= 4003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*j + 8 - 6, -j + 3*y + 5 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 303\/40, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/9)\/(((-42)\/21)\/((-10)\/(-3)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 - 2 + 2*p + p**3 - 6*p - 11*p. Suppose -9*q - 365 = 130*q + 608. Let z be n(q). Let c(v) = v**2 - 3*v - 7. What is c(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 + 17*t + 11. Let z be s(-8). Solve -3*f - 4*d + d - 12 = 0, 8 = -2*f + z*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5520, 22079, 49678, 88317, 137996, 198715, 270474?\nAnswer: 353273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4266342 (base 10) to base 14\nAnswer: 7d0b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**2 - 86*w**2 - 311*w**2.\nAnswer: -410*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**6\/42 - 4*h**5\/35 + 2*h**4\/7 + 2*h**3\/3 - h**2\/2 - 10*h\/7 + 1265. What is z in p(z) = 0?\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25070352 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 2}. Give prob of sequence dvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 2\/3, 0.1, -16\/3, -2\/477, 6?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28541 is divided by 1541.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 - 120\/(-28). Find the third derivative of o**4 + 3*o**4 - 3*o**2 - 7*o**y wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6075*d**3 + 1240*d**3 + 2025*d**3 - 4*d + 4*d + d**2.\nAnswer: -2810*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4957, -9851, -14657, -19345, -23885, -28247, -32401?\nAnswer: -36317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumuzumwuwwiwwu. What is prob of picking 1 u and 1 w?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 116*q + 4. Let b(m) = 12*m. Give z(b(y)).\nAnswer: 1392*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5023802485 - -5.82?\nAnswer: -5023802479.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 71. What is the greatest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*d - 4368 - 5789 = -239 for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 1\/6*q**2 + 1\/18*q**3 + 1 + 0*q. Factor b(h).\nAnswer: h*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of t**5\/15 - 253*t**4\/3 + 128018*t**3\/3 + 2187*t**2. Factor v(h).\nAnswer: 4*(h - 253)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6105646?\nAnswer: 2, 83, 36781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1715, -1715, -1705, -1685, -1655, -1615, -1565?\nAnswer: -1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.4 - 5.4. What is the nearest to j in 2\/79, -2\/11, 2?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 0 - (-14 + 11 + 7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1937419050 to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**4 + w**3 - w**2 + w. Let i(z) = 3*z**3 - 3*z**2 + 3*z + 8. Let r(o) = i(o) - 3*u(o). Differentiate r(c) with respect to c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*4\/12 + 3. Suppose -9*u**5 - 5*u**i + 14*u**5 - 5*u**5 + 5*u**4 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*u**5 - u**3 - 207*u?\nAnswer: -1360*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2 + 35)*(-3*w**4 + 7*w**4 - 2*w**4).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1640\/100 - 32) + (-1 - 14\/10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 26309, -73\/3, -1 in ascending order.\nAnswer: -73\/3, -1, -1\/2, 26309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bky when three letters picked without replacement from pbzppykbpbpzbzpppzkc.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.98063 rounded to the nearest integer?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 704445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/20 + i**4\/8 + 59*i**3\/2 - 6*i**2 + 1. Differentiate f(d) wrt d.\nAnswer: 6*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 3*a)*(-2*a**4 + 0*a**4 + 4*a**4) + (a**2 - 2*a + 2*a)*(-73*a**2 - a + 34*a**2 + 36*a**2 + 7*a**3).\nAnswer: 5*a**5 - 3*a**4 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -1 (c) -14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bptytygcb. Give prob of picking 2 y and 1 p.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/298392 and -121\/24766536.\nAnswer: 24766536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -370.13, -2, 0.2 in decreasing order.\nAnswer: 0.2, -2, -370.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from esqcssesgq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -294584 smaller than 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 89.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1596996 and 78732.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -3) + 11 + -4 + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19006 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 11 = -2*i, 2*i - 6*i - 32 = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-20))\/((-2)\/(-10)). Solve q + 3 = f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -71, -597, -2033, -4835, -9459, -16361, -25997, -38823?\n\"Answer: -76*i**3 + i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196242 divided by 6.\nAnswer: 32707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (1 - 0) - (71 - 68). Is 1 - (-311 + -2) - (-7 + r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 12:27 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*b - 22*b + 40*b)*(1 - 4 + 4) to w*b + j and give w.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -207901*s**3 - 11*s**2 - 6*s - 113 wrt s.\nAnswer: -1247406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*r - 5*m + 1, -4*m + 60 = 4*r. What is the units digit of (0\/1 - 0) + r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/7)\/((q\/q**1)\/q)*q\/((q*q\/((q**(16\/5)*q)\/q))\/q)*q**(-4\/5) assuming q is positive.\nAnswer: q**(134\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121158 minus 2318528.3?\nAnswer: -2197370.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/2 + 23073*a**3\/2 + 59212881*a**2\/2 + 50862881355*a\/2 + 201562613772.\nAnswer: 3*(a + 8)*(a + 2561)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - -4*(-1 + sqrt(500)) - (-2*sqrt(500) + 5))**2.\nAnswer: -1260*sqrt(5) + 24581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 3. Let t(r) = 12*r + 10. Let d(y) = 4*y + 3. Let n(s) = 17*d(s) - 6*t(s). Let k be n(u). What is the highest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v + 3. Let c(y) = 4*y - 2. Let r(l) = -2*l - 2. Let f be r(-2). Let g(o) = f*k(o) + 3*c(o). Let q(h) = -14*h. Calculate g(q(i)).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 10, 0*w + 3*w - 4*j + 17 = 0. Let r be 3 + (0 - w - -1). Let o be 5\/(r*-1 + 2). Which is the third biggest value? (a) o (b) 1\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 40 - 38 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -1, -37\/2, 0, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 684 = 5*d - 746, 0 = 3*d - 4*x - 54. Solve -21 = -3*n - 3*w, -3*w = -d*n + 14*n - 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) -44.3 (c) 1 (d) 140\/13 (e) 0.3 (f) -2\/301 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 886760 by 2.\nAnswer: 443380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31485307?\nAnswer: 7, 139, 32359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/1872*-18*12\/(-54)*-6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, y: 1, e: 2}. What is prob of sequence eiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/7 and 12\/30025?\nAnswer: 210175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/9 or -6982?\nAnswer: -6982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24224879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56*123\/(-13776))\/((-2)\/(-576)*3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 5 + (-21 - -13 - -31).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 5:54 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61206, -57894, -54582, -51270?\nAnswer: -47958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 16*z + 17. Let p be r(15). Let j(c) = p + c**2 + 21*c**3 - 2 + 57*c**3. What is the units digit of j(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 16187?\nAnswer: 48561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0254 take away -14318?\nAnswer: 14317.9746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 + 3\/(0 - 1). Let l = -3 + w. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.7 + -7. Let h = 4.85 - 4.35. Which is the nearest to -1? (a) -0.02 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -47. Let u be 6*(-6)\/2 - c. Let f = 7 - u. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-115 + 4*m - 5*m + 108)*(6*m - 5*m - 4*m**2 - m**2).\nAnswer: 5*m**3 + 34*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52499 - 39022. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537139*n + 179011*n + 179022*n + 179060*n.\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, -20, -37, -60, -89, -124?\n\"Answer: -3*f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7432131.03 to the nearest one hundred thousand.\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37258448 is divided by 240377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-6) - -7)*4\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 242*i**2 + 39*i**4 - 246*i**2 - 8*i**4 + (-2*i**2 + 2*i**2 + i**3)*(-2*i + 4*i + 0*i) + 2*i**4 + 3*i - 3*i.\nAnswer: 35*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1479\/522)\/(646\/8).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y = 0. Let m be ((-12)\/(-18))\/((-5)\/((-435)\/2)). Is 8 a factor of m - (0 - y\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from vrarkaidk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26391964.\nAnswer: 2, 823, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3470*t - 3480*t + 610. Calculate the remainder when t is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + w = -34, 2*r = 14*r + w - 2263 + 2045 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11980 rounded to the nearest one hundred?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 10:00 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 4*y + 64 = 0. Let l(b) be the second derivative of -b**5\/20 - 7*b**4\/12 + 5*b**3\/6 - 9*b**2 + 2*b. List the prime factors of l(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 185, 549, 1117, 1919?\nAnswer: 2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/21353227 and 60\/6596023.\nAnswer: 1259840393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 9075108?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5507 is divided by 5480?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1 + -1 + 4). Let g(u) be the second derivative of 5*u**4\/6 + u**3\/6 - u. Is 9 a factor of g(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-seven quarters of a gram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c*c*c\/c**(-3\/10)*c)**(-13\/4) assuming c is positive.\nAnswer: c**(-689\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3025036 is divided by 167.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-73.\nAnswer: 21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 1. Let b be m(-7). Let y(a) = -a**3 - 9*a**2 - 7*a + 9. Let w be y(b). Let f be ((-1)\/(-2))\/((-5)\/(-2)). Is w less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 7*p**2 + 14*p - 82. Let r(m) = 2*m**2 + 4*m - 27. Give 14*r(u) - 4*y(u).\nAnswer: -8*u**3 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -92.\nAnswer: 5\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -894, -887, -880, -873, -866, -859?\n\"Answer: 7*n - 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)\/(-2 + 5). Let j = 8.68 - 7.68. What is the smallest value in y, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - z + 30, -4 = -4*d - z + 21. Suppose 12 = 2*r - d*v, -12 = -2*r + 5*v - v. Solve 4*o - 2 = r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c - 6141 = 63*c for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 736 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*a - 119 - 181 + 3 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 23. Let u = r + 34. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 25 = 5*u, -90019 + 89965 = 5*s + 4*u for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7857 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2747, 4815, 2 in decreasing order.\nAnswer: 4815, 2, 0, -2747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1010101 (base 2) to base 8\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/60)\/(1*1\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1)*((0 + 0 - 3)*(2*s + 0*s - 4*s) + 0*s - 2*s + 4*s) to d + v*s and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 - 8)*1\/(-1). Let j = -4 - -0.8. Let g = 3 + j. Which is the biggest value? (a) g (b) y (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 189412222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b + 88. Suppose -5*t + 4*o - 128 = 0, o = 2*t - 4*o + 41. Let j be w(t). Solve -j*k + 3*k + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/(144\/8) - 2\/2. Solve -10*w + 11*w = -k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 2 + 2)*(0 + 0 - 3)*(3 - 4 + 3) + (-3*a + a + 0*a)*(7*a - 2*a - 3*a).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208020, -206246, -203296, -199176, -193892, -187450?\nAnswer: -179856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -15. Suppose 3*x = 10*t - 7*t - 6, 0 = 3*t + 5*x - 6. What is the third derivative of 0*k**t + 9*k**l - 3*k**6 + 10*k**2 + 5*k**2 wrt k?\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 + x - 2. Let k(f) = -324*f**2 + 5*f - 27. Let d = -79 - -73. Let o(m) = d*w(m) + k(m). What is the second derivative of o(t) wrt t?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 - 1)*(0 - 4 + 2) - 3 - 3 + 4)*(-3 + 3 - u**2) - 44*u**2 - 23*u**2 - 15*u**2 to the form d + x*u**2 + t*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38, -11, 0.3, 0.4, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9 (b) 0.8 (c) -4 (d) 1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 6*k - 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/5 and 53\/185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 + 2*v + 5. Let q(t) = 13*t**2 - 11*t - 37. Let g(r) = 5*c(r) + q(r). Let h(s) = -1. Give g(y) - 3*h(y).\nAnswer: -2*y**2 - y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045\/22*((-2)\/3)\/(17\/(-510)*25)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20354127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9526038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1553, 4 in decreasing order.\nAnswer: 5, 4, -1553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clc when three letters picked without replacement from xcxxcxcl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 - 5*q. Let c(t) be the second derivative of t**4\/2 - 4*t**3\/3 + 49*t. Let b(x) = -5*c(x) + 8*u(x). Let y(j) = -110*j + 1. Give y(b(w)).\nAnswer: -220*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 3*g**2 + 3*g - 1. Let p be n(2). Suppose 5*i + p = -14. Let f(b) = -2*b - 3. Give f(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23416 - -182522. Suppose 7*p + z - 73414 = 0. Is (-11)\/33 - p\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48993932 divided by 884.\nAnswer: -55423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 0*m + m**2 + 0*m. Suppose -5*r + 2*o = 16, -8*r + 4*o = -11*r - 20. Let a(n) = 2*n**3 - n**2. Calculate r*q(d) - 4*a(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 493*v**2 + 456*v**2 - 126*v**2 - 439*v**4 - 494*v**4 - 75*v**2 wrt v?\nAnswer: -22392*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -749 - -791. Let k be (104\/l - 2)*24\/32. Which is greater: -1\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1402*a**3*s**2 + 63*a**3*s*v**3 - 3*a**3*s*v**2 - a**3*s + 16*a**3*v**3 - 2*a*s - 4*s**2*v**3 + v**2 wrt v.\nAnswer: 378*a**3*s + 96*a**3 - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691310.\nAnswer: 2, 5, 73, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 3*p - 4*p + (-4*p + 4*p + 3*p)*(-4 + 1 + 6)*(-2 + 4 + 1).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -211915300*l + 187706265 wrt l?\nAnswer: -211915300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:08 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**2 - z**2 + z**2)*(5 + 2 - 2) + 2*z**2 + 0*z**2 + 4 - 6 in the form j + k*z**2 + m*z and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 356.4686nm?\nAnswer: 0.0000003564686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51868.\nAnswer: 2, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245 and 385?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 2*t**2 - 2*t - 2. Let x be h(-2). Suppose -379 = 23*f + 357. Let o be (4 + 132\/f)*-6. Put 0, o, x in decreasing order.\nAnswer: x, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*x, 2*s = 9*s + 5*x - 23. Let i(g) = -9*g + 1. Let o be i(1). Let w = o + 20. What is the least common multiple of s and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1647 - 1624. Which is smaller: 4 or v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 6*x**4 + 27*x**3 - 2652*x**2 + 6624*x + 69120 = 0.\nAnswer: -24, -4, 15\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.4 + -5. Suppose -5 = -3*y + 4*f, -4*y - 3*f - 2 = -17. What is the nearest to -1\/2 in y, -0.05, u?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**34*m\/(m\/m**(30\/11)) assuming m is positive.\nAnswer: m**(404\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 - -12) + (-4 + 1)\/1. Solve -15 = b*r + 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/27 - 37\/135. What is the third biggest value in 0.1, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*(1 + 46\/14). Let b = q + -7. Suppose 209*y - 46 = 207*y. Is y != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.34 - -42.4. Which is the biggest value? (a) r (b) 1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let h(j) = -24903*j**2. What is h(d(w))?\nAnswer: -24903*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 27. Let v = -21 + x. Let c be (-11)\/(-6) + 3\/v. Solve 2*b = -c*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 11 (c) 1\/13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r - 2745479. Let z(p) = -4*p. Calculate z(m(o)).\nAnswer: 12*o + 10981916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264695943*h**2 + 127461923*h wrt h.\nAnswer: -529391886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27752, -32013, -36274, -40535, -44796?\n\"Answer: -4261*f - 23491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-1 - (47 - 18)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.3775842161 and 0.17?\nAnswer: 14.2075842161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*u + 2, u - 3 - 3 = -2*g. Suppose -2*a = -2*q + 20, -1 = u*q + 3*a - 31. Solve -i - q = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1626*n + 3283. Determine a(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -126*x - 45. Let s be a(11). Suppose -2132 = v - 2*v - 4*t, 3*v = -t + 6363. Let f = v + s. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 33*k + 88. Let r be w(-30). Which is the fifth biggest value? (a) -1\/8 (b) 2\/3 (c) r (d) 5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {t: 1, z: 1, s: 4, j: 3, h: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 3 = 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.1 rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3217681 rounded to the nearest 1000?\nAnswer: 3218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 14*a**3 + a**2 - a**2 + 1 + 21 - 180*a. Differentiate z(g) wrt g.\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 31. Let v = -19 + n. Suppose -6 + 14 = v*d. Solve d*x = -2*r, 3*r - 3*x = -x - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 11. Let t be x(6). Suppose 2*p + 4*c + 1 = t, -5 = -p - c. Calculate the lowest common multiple of p and 14\/4*(-2 + 4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 170, 168?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105727 is divided by 35201.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a**2 + a**2 - 15*a**2)*(12*a**3 - 19*a**3 - 29*a**3).\nAnswer: 900*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.316000701 - -1.316. What is z rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15 = -k. Suppose u = k*u. Let v(j) = j**2 + 6*j - 4. Let g be v(-7). Solve u = 2*w + g*m + 2*m - 13, 5 = 5*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 - 8*f**2 + 3*f - 9. Let t be r(6). Suppose -t = 5*k - 146. Let q = -224 - k. What is q rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 - -139. Calculate the highest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -i + 4*x - 20, 4*i + 2*x - 8 = 0. Suppose -3*g = -i*g - 57. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**3 + o**2 + 5*o + 7. Let h(z) = -z**2. Let k(u) = -d(u) + 4*h(u). Let v(m) = -2*m**3 + 3*m**2 + 3*m + 4. Determine -3*k(g) - 5*v(g).\nAnswer: -2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 6. Let k be d(5). Let p(j) be the second derivative of -9*j + 7\/20*j**5 - 1\/12*j**4 + 0 - 1\/2*j**2 - 1\/3*j**3. What is p(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 27*u + 27 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:37 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - 2) - (-2340 + 2364)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -34, 0, 58, 146?\n\"Answer: i**3 + 3*i**2 - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6655))\/(1*sqrt(176)))**2.\nAnswer: 605\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -382\/15 + 146\/3. Suppose 5*u - 32 = -3*t - t, 0 = -5*u - 20. Let z = t - r. Calculate the common denominator of z and -40\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2133401.\nAnswer: 1217, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 14*t + 13. What is z(-16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41063240689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -104, -206, -308, -410, -512, -614?\n\"Answer: -102*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mua when three letters picked without replacement from {m: 2, u: 3, a: 4, g: 2, v: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 2 (c) 3 (d) -390 (e) 0.5 (f) 0.01 (g) -0.28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1161 (b) -3\/10 (c) 661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*u**5 + 176*u**5 - 125*u**5 + 0*u**5 + u**5 - 2*u**5 + (4*u**3 - 5*u**3 + 2*u**3)*(0*u**2 - 3*u**2 + 2*u**2).\nAnswer: -55*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -84*v + 519. Let u be b(5). Solve u - 75 = 8*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10) + (-36)\/1140*1387.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*c = 2*k + 27, -2*k = 3*c + 19. Let l(s) = -s**2 + s + 23. Let v be l(0). Let g = v + k. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/410 and 93\/8?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*c + 5. Let z be (-2)\/c + (-2190)\/(-70). Suppose -45 = -r - 5*h, z = 2*r - 3*h + 6. Calculate the least common multiple of r and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-4) + (-13770)\/(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**2\/3 + 112*a + 324 = 0.\nAnswer: -81, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 5*p**2 + 3*p**2)*(3 + 3 - 4) + (3 + 1 - 3)*(-2605*p + 2605*p + 72*p**2) + 6*p**2 - 4 - 7 + 5.\nAnswer: 74*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/(490\/(-36)))\/((6\/(-45))\/(49\/(-35))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95 - (68 - 16)) + 155.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = -4*p, -5*p + 106 = -2*o + 78. Let f(k) = k + 1. Let w(l) = -2*l + 2. Let v(c) = -6*f(c) - 2*w(c). Give v(p).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + -10b?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/4, -1, 112182?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17611?\nAnswer: 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73805*s**6 + 202344*s**2.\nAnswer: -8856600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2760 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/6*(14\/(-28) - 1). Let v(j) be the second derivative of 0 + 1\/2*j**2 + 1\/4*j**3 + 3*j - 1\/40*j**w + 0*j**4. Find n such that v(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 3:13 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.36541 rounded to 2 decimal places?\nAnswer: 43.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-112) + (-1)\/(-4). Which is the nearest to v? (a) 5 (b) 2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3027, 1982, 937?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -24 + -4 - -21 - -16\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26\/5 + -22\/5. Suppose 4 = -2*b, r - 2*b - 6 = -b. Suppose 0 = -r*i + 8*i. Is i < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 8*c + 2. What is the remainder when v(-9) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 11:50 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 38\/7 of a week?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1908677, 1908676, 1908675?\nAnswer: 1908674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*i + 37, 11*s - 80*i - 25 = -78*i. Let n be 25\/9 + 4\/18. Suppose -26 = u - n*u. What is the smallest common multiple of s and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(5\/(-3)) + -356. Let i = y + 775. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/191160 and 127\/144.\nAnswer: 382320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (327 - 292) + 313\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 1 - s + 4*s)*(9 + 6 - 5)*(0 + 0 - 2*s).\nAnswer: -20*s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + -23.06. Let c = f + 23. What is the second smallest value in 0.2, c, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(2\/(-8) - (-47)\/(-564)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 p when three letters picked without replacement from {p: 4, z: 1, y: 2}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144377 divided by -117.\nAnswer: 144377\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 24956136.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1411 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/95 and 91\/3106.\nAnswer: 295070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 4:54 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7130691\/10 + -708876. Let x = i - 4188. Find the common denominator of x and -34\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 7*d**2 - 128*d + 1091. Let k be u(8). Solve 0 = -93*s + 91*s - 5*l - 15, 0 = l + k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -216.927?\nAnswer: -1952.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w - 4. Let o(t) = t**2 + 13*t + 6. Let l be o(-5). Let g(q) = 29*q + 23. Let k(m) = l*j(m) - 6*g(m). What is the derivative of k(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 3:50 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**5\/10 + 5*l**4\/12 - 3*l**3\/2 - 11*l**2 + 2*l. Is s(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**0\/a))**(-1\/28))**16 assuming a is positive.\nAnswer: a**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 60\/1*(38 + 4158\/(-108))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -696*d - 10271 - 29401 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -20.2. Let g = 1893\/7 - 271. What is the second smallest value in -3, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1*sqrt(32))**2 - (sqrt(14)\/(sqrt(14)\/sqrt(2) - sqrt(7) - sqrt(7)) + (sqrt(288) - (sqrt(288) - (sqrt(288) + -1))**2))) + -5.\nAnswer: 29*sqrt(2) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + d = -1, 4*f + 5*d + 25 = 9*f. Let h be (-4 - (-9 - -2))\/f. Solve h*y = -5 - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1137156508\/3 at most -379052168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.9152 - -0.0848. Put 2\/13, 4\/7, i, 3 in ascending order.\nAnswer: 2\/13, 4\/7, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.9, -1, -6.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - t - 317 - 113 = 0, 1075 = 5*i + t. Suppose -z + i = -13. Calculate the greatest common factor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5205392, 19, -1 in increasing order.\nAnswer: -5205392, -1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541*a**3 - 83*a**3 - 314*a**3 - 190*a**3.\nAnswer: -46*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + 79. Suppose -2*x - z = -4*r, -x = 2 + 1. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3966*0.615\nAnswer: -2.088909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241213007669\/45478742778 + -28614\/1079281. Let f = -1\/2341 - z. What is the common denominator of 29\/2 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -3*z**2\/2 - 1. Let y(n) = 7*n**2. Give y(v(l)).\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x\/(x**4*x*x))**(1\/8) assuming x is positive.\nAnswer: x**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4266013*k**2 + 4175650?\nAnswer: -8532026*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.11 + 22.01. Is g at most 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*y + 281 - 66 = 0, -680 = -3*a + 2*y. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 2*a. Let q be (-5)\/((-275)\/(-285)) + (-6)\/(-33). Let i be 1*q*(-1)\/1. Let p be i*(-2)\/20 - (-14)\/4. Determine f(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z**3 - 1738*z**2 - 24034*z + 1610 = 0. What is z?\nAnswer: -35, -23, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -113, 18, 139 in decreasing order.\nAnswer: 139, 18, 5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 128 = 8*v. What is the remainder when 516 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 248*m**2 + 0*m**5 + 3*m**5 - 180*m - 248*m**2 wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 14*g - 29. Let n be b(11). Let i(u) = u**2 + 14*u - 77. Let p be i(n). Sort 5, 4, p in descending order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + d + 3*d + (43 + 99 - 35)*(-d - d + d) in the form j + u*d and give u.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/3 + -7\/15. Suppose 7 = 2*c - s - 2, -2*s - 3 = c. Suppose 3*r = -9, c*t + 3*r + 12 = -r. Sort -2\/7, t, l in increasing order.\nAnswer: -2\/7, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(8\/(-6))*544\/(-408)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 5. Let t be g(-5). Let v(x) = 4*x - 4*x**2 - 1623133*x**3 + x + 1784732*x**3. Let r be v(t). Round r to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 27*q**3 + 0*q**3 - 23*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 19. Let u be s(-9). Let n = -3 - u. Let l be (-1)\/2 + (-2)\/(-8). What is the closest to 0 in l, n, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/7)\/((141\/1645)\/((-27)\/15))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.264 - -129.264. Let u = 132 - o. Let z be (-16)\/30 + 12\/(-18). Which is the biggest value? (a) -2\/7 (b) 0.3 (c) z (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2686 - 8165\/3. Which is greater: -37 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139848*-1.\nAnswer: 139848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -36*l + 37*l + 0 + 0. Let k(m) be the third derivative of 0 + 0*m**4 + 1\/60*m**5 + 0*m**3 + m**2 + 0*m. Determine k(t(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/13)*u)\/u)\/(u\/((u*u\/u**9*u*u)\/u)) assuming u is positive.\nAnswer: u**(-88\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1076?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -1153, -2564, -4537?\nAnswer: -7072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 + 13*b. Let c(t) = -3*t**2 - 6*t. Let v = -192 + 185. Let f(d) = v*c(d) - 4*z(d). What is f(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01632 and -17?\nAnswer: 0.27744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -13*r + 570. Suppose 4*j + 2*x = 118, 5*j - x = 172 - 7. What is the remainder when r is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552 - 818 + 5*g**2 - 24*g**2 + 12*g**2 + 8*g**2 - 734.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 1 (c) 334914 (d) -0.4 (e) 2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -620.2 - -620. Sort d, 3, -1, -0.11.\nAnswer: -1, d, -0.11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24572, -49162, -73760, -98366, -122980, -147602?\n\"Answer: -4*g**2 - 24578*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 84 = -35*m + 30*m, 0 = 2*k - m + 42. Let v be (-791)\/k + 3\/9. Solve 0 = -4*t + 42 - v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -840863?\nAnswer: -5\/840863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*w - 3*w. Suppose -y = -6*y + 3*g - 85, 4*y = w*g - 71. Let q = 47 + y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50173606 (base 8) to base 5\nAnswer: -10200033001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 1:40 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22785 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 247.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 1624 + 3087. Let z = 17519\/26 + n. Find the common denominator of z and -27\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 264 = 5*y. Let v = y - 138. Let s be (-6)\/(-10) + (-120)\/v. Solve -s*l - 2*l + 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (256\/(-160))\/(((3\/5)\/1)\/((-294)\/(-14)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:42 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(171) + 0)**2 + (sqrt(171) + 2)*6 + -1 + (sqrt(475) + 2 + sqrt(475) - (-3 + sqrt(1539))).\nAnswer: 19*sqrt(19) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -844 - -845. Which is bigger: y or -1\/180?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + (-14 - -2) + 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2. Let f be v(1). Let p = -3 - -7. Suppose 0 = -t + 6 - 1. Put p, t, f in ascending order.\nAnswer: f, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 + -2.4. Let x = 0 - -1. What is the closest to t in x, 3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/253 in 4, -1\/4, 2\/13, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50638, 50885, 51290, 51847, 52550, 53393, 54370, 55475?\nAnswer: 56702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + 3*-2*-1*(sqrt(99) + -1 + sqrt(99) + sqrt(99) + 2)*-1 + -4))**2.\nAnswer: 8748*sqrt(11) + 289413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 5\/2*a**2 - 1\/12*a**5 - 5\/12*a**4 + 5\/18*a**3 + 0 - 6*a. Determine n, given that p(n) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = -89 + 5 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 818*i - 24574. What is o(30)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 9*o**2 + 27*o + 4. Let a(s) = -3*s**3 + s**2 + 5*s - 1. Let v(k) = -a(k) - g(k). Give v(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046891921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -3*x + 5*y, -2*x + 4*y = -0*y + 108. Let u = -57 - x. Let l(j) = -j**2 + 4*j + 5. What is l(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1300) + 5 - (sqrt(1300) + 5*(1 + sqrt(1300))))*4 - (sqrt(325) + 2*(sqrt(325) + -1) - sqrt(52)\/(-2*(sqrt(4) + sqrt(12)\/sqrt(3))))**2.\nAnswer: -48437\/16 - 139*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1858 - -5?\nAnswer: 185d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 7. Suppose -2*h - 4*h = 42. Let m be o(h). What is the remainder when (-1022)\/(-18) + m\/(-63) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -19*o + 5. Let f be w(5). Let q = 1 - f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 1, b: 11}. Give prob of sequence tf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 5*a**2 + 8*a - 4. Let g be w(6). Suppose g*i - 44 = 4*i. Let y(n) = -n - 1. Let d be y(-3). Solve b = j - d*b - i, -5*j + 2*b = 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 4282301?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 134?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 600729292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 42 = -0*x. Suppose 70*q - 106*q = -756. Calculate the greatest common factor of x and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 2227?\nAnswer: 9\/2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-196)\/(-2) - (3 + 0). Suppose -4*n + 73 = m, 6*n - 11*n + x = 2*m. What is the highest common divisor of 119 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 4.6. Let q = -7713\/470 - -1\/94. Let k = q - -569\/35. Sort k, -4, b in increasing order.\nAnswer: -4, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 2:59 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -57730, -57733, -57736, -57739, -57742?\n\"Answer: -3*p - 57727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/36, -1\/1507, 2 in ascending order.\nAnswer: -1, -1\/36, -1\/1507, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*h + 135*h = 40 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 10*t**2 - 14*t - 93. What is n(12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906*k + 2771 - 18680 = 14895 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 63037506?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l + 42 = -44*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 96*d + 1. What are the prime factors of p(1)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d - 101*d + 260 - 260 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10396624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/4 in 33, -1\/4, -41, 0.2, 2\/61, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8519152 and 0.1.\nAnswer: -0.08519152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 25. Let q(t) = 22*t - 8. What is the tens digit of q(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i*(i\/(i*(i*i\/(i**(-12)*i))\/i))\/i))\/i*i*i**(-2\/3) assuming i is positive.\nAnswer: i**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7467*y + 2517*y + 2539*y + 2436*y.\nAnswer: 25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/3 + 1483528*v**2\/3 = 0. Calculate v.\nAnswer: 0, 741764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.132 + -2.\nAnswer: 5.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2653 in -4\/3, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:28 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*(-42)\/133. What is the second smallest value in p, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*h - 6 = -h, 2*h = 0. Let f(p) = -1984*p**2 + 1000*p**2 + 3 - 1 + 988*p**2 - p - p**3 - 3. Determine f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 12*f**2 + 15*f + 13. Suppose -5*p = 2*p - 14. Suppose 2*o - 2*s - 6 = 0, -4*o + p*o - s + 18 = 0. What are the prime factors of j(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (2 + -3)) + -2 + 1 + 37\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 46215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + ((5*(-1 + sqrt(125)))**2 + sqrt(125))*-6).\nAnswer: -8820*sqrt(5) + 113430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -61. Suppose -104*d + 103*d + 1 = w. Let a be 1\/(1 + (-9)\/8). Sort a, d, 3 in descending order.\nAnswer: 3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 833.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = -12*s + 298. Solve 3*h + s*k = 8, -1 = -h + 3*k - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4.3. Which is the closest to g? (a) -3\/20 (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 143 + 63 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -567*g**2 + 285*g**2 + 284*g**2. Let w(a) = -31*a**2. Calculate w(m(n)).\nAnswer: -124*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.666*95958\nAnswer: -63908.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:26 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5598 and 24?\nAnswer: 22392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130787 + -66797. What are the prime factors of (-1)\/4 + k\/120?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5247 is divided by 5239.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4815775?\nAnswer: 5, 192631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.081149m to centimeters.\nAnswer: 8.1149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*u + 410*u + 3412*u**2 + 26652*u**2 - 813*u.\nAnswer: 30064*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -588.41 - -586. Let c = -2.3 - k. Are 0.1 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2590*n*s**2 - 12784*n*s + 112346312*s**2 wrt n.\nAnswer: 2590*s**2 - 12784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g - 2*l - 666 = 0, -2*l - 6 = 0. Let p be (-4)\/6 + g\/18. Let i = p + 7. Put i, -2, -4 in decreasing order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -993 or -992?\nAnswer: -993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-6)*w**(1\/4)\/w**3)**(-3\/13) assuming w is positive.\nAnswer: w**(33\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 = -n - 4*d, 0 = 5*n - 11*d + 10*d - 2194. Suppose 5*l + 1857 = 4*r, -r + 0*l + n = 4*l. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 9*u**2 - 11*u - 11. What is s(-7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 - 2*f - 8. Suppose 3*y + 1 = -3*l - 5, y + 5*l - 14 = 0. Give x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2277 = 7155*z - 14406*z + 7182*z for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -103.7, -34, -1\/17?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39162 - -16674?\nAnswer: -22488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 23*m - 20. Let c be 1*(9 - -2 - 2). Suppose c*w + 34 = -92. What is the hundreds digit of f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -606\/11 - -625\/11. Calculate the common denominator of b and -5\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974360 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4*m = -0*m + 2, 0 = 4*m - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 377 or -190.45?\nAnswer: 377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-1*5)\/(2*sqrt(6)*-3))**2*2 + (1*sqrt(416) + sqrt(416) + sqrt(416))\/(sqrt(6)\/sqrt(3)*-1 - sqrt(2)).\nAnswer: -6*sqrt(13) + 325\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 24*c + 19*c = -30, 0 = -2*f + c - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:13 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, 1, -12 in decreasing order.\nAnswer: 8, 1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296891 is divided by 6517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.66146 and -1.\nAnswer: -14.66146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 5*n**3 - 6*n**2 + 3*n**3 + 21 in the form s*n**3 + i*n**2 + g*n + p and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and -0.595?\nAnswer: 1.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a**3 - 61*a**2 - 36*a + 36. Give h(-6).\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*w**5 - 2918*w**4 + 2*w**3 + 2*w**2 - 22476?\nAnswer: 960*w**2 - 70032*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8987584 and 67\/24726.\nAnswer: 350515776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 83*p + 7066. Let x(y) = -52*y. Let z be x(-1). Suppose -2*j - 2*j = -z. What is the least common multiple of j and g(-85)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40460 and 27853588?\nAnswer: 27894048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 7 + 6, 2*z = -4*s + 802. List the prime factors of s.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g**2 + 4*g - 2. Let l(s) = -17*s**2 + 9*s - 5. What is 4*l(a) - 9*x(a)?\nAnswer: 4*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -27 - 13. Solve -8 = 3*w + 4, 0 = -4*t + g*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/7)\/(w*w**(-12)))**(2\/29))**(21\/4) assuming w is positive.\nAnswer: w**(219\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 864, -2, 1, 3 in increasing order.\nAnswer: -2, 1, 3, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 631*m + 1281*m - 650*m - 24*m**2.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.3. Let y = 3 + -8. Put x, y, -4 in increasing order.\nAnswer: y, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495445, -1983009, -4462275, -7933237, -12395889, -17850225, -24296239?\nAnswer: -31733925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4 - 5. Let f be 3\/(27\/7) - 1. Let g = 4770.8 + -4773.8. Which is the closest to u? (a) g (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-8))\/((-24)\/96). Suppose -3*m = g - 78, 4*m - 1 = u*m. Suppose -t + 43 = 3*z, 0 = 5*z + 7*t - 2*t - g. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a**2 - 3*a + 2. Let j be z(1). Let h(x) = -x**2 - 14*x + 23. Let d be h(j). Let f = d - -64. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 29. Let a = -228 + l. Let j = a - -239.9749. What is j rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11 + 11 - 5 - w. Let d be s(-9). Solve -4*f - 12 = d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/140 + l**4\/14 + l**3\/42 - 3*l**2\/7 + 54*l. Factor b(o).\nAnswer: -(o - 6)*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12 = 3*p, 6*p - p - 13 = 4*a. Solve -11 - 4 = a*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = -u, 5*a + u + 2*u - 29 = 0. Suppose -n - 2*j = -15, 2*n + 13 = 3*n + a*j. Solve -9 = 2*m - g, 3*m - g - 5 = -n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175227 is divided by 87585?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 736 - 468. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 4*v = k + 365, -4*v - 296 = -4*k. Suppose 706 - k = 7*o. List the prime factors of o.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b + 483 - 1084 - 101*b**2 + 601 - 17*b.\nAnswer: -101*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41175, -82058, -122941, -163824?\n\"Answer: -40883*x - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 864 - 887.99. Let y = -0.01 + r. Let u be 1*((-18)\/24 - (-2)\/(-8)). Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*z + 174 = 0, -7*v - 3*z = -3*v + 232. Let x = v + 48. Is 18 a factor of (-4)\/x - 2142\/(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-78)\/(-11) + (-3 - 4). Let r be (1 - 4)*45\/(-27). Which is the closest to 1\/3? (a) l (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -3, 0.3, -0.099, 5, -2?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z - 1145. Suppose -d = -q - 160, z - 71 = d + q. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2633224723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/103, -0.21, 2\/9, -2\/11 in descending order.\nAnswer: 2\/9, -1\/103, -2\/11, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - w + 56178, -1572 = 2*y + 3*w - 113933. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 5104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61717 is divided by 96?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 12. Let u(v) = -2*v - 6. Let x(y) = 3*n(y) - 5*u(y). Let d(i) = i**2 + 40*i + 83. Let r be d(-38). Determine x(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 5*a + 4. Let d be m(-5). Suppose -3*z + 5 = -d. Suppose 0 = z*f - 2*b - 30, 4*b + 43 = 2*f + 15. Solve -y - f = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 1080\/7*a - 900\/7*a**2 + 2\/7*a**5 - 40\/7*a**4 - 432\/7 + 290\/7*a**3 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 0.1. Suppose 0 = -2*v + 6 - 0. Let p = -0.7 - -1. What is the second smallest value in v, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24661, -24668, -24675, -24682, -24689?\n\"Answer: -7*x - 24654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4307, -7293, -10279, -13265?\nAnswer: -16251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 4*f**3\/3 - 5*f**2\/2 + f. Let w be a(4). Suppose 0 = -3*u + 2*v + 72, -21 = -2*u + 5*v + w. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - 3) - (2 - 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -330, -777, -1390, -2157, -3066?\nAnswer: -4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144)*-1 - sqrt(144))*-3)\/(1*sqrt(512) + sqrt(512) - sqrt(8) - sqrt(8)))**2.\nAnswer: 162\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1521)\/(-126) - -2) + -9 and (-426)\/(-16)*(-2)\/15.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129223.\nAnswer: 129223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 286.6*2\nAnswer: 573.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4294 divided by -3462?\nAnswer: -2147\/1731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 99 = -2*b. Let l(j) = -1098*j + 20889. What is the least common multiple of l(19) and b?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffiiifiifffiiiiiii. Give prob of picking 3 i and 1 f.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.06 and -0.6?\nAnswer: 14.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 999.1 or -0.1?\nAnswer: 999.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 12:05 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149*q + 106*q**3 + 149*q + (0 - 2 - 2)*(3*q**3 - 5*q**3 + q**3) + 3*q**3 + 2*q**3 - 4*q**3 + (q**3 + q**3 - 4*q**3)*(-4 + 0 + 3) + 191 - 191 + 9*q**3.\nAnswer: 122*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. What is the closest to z in 2\/9, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -178. Let x(g) = 13*g + 1. Let n be (-1)\/(-5) + (-28)\/(-35). Calculate the remainder when h is divided by x(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(0 + 6\/14). Let x = -7 + f. Suppose -9*q + 5*q + 16 = x. Round q to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4714.2191 rounded to 1 decimal place?\nAnswer: -4714.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-24)*4*6\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 1, u: 12}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 177*m - 3237. Give x(21).\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*b + 10*b - 551 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -100 and 3.5.\nAnswer: -96.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 24 - 3553*a**2 + 3*a**3 + 38*a + 3571*a**2 - 2*a = 0. What is a?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/140 - (-2)\/7. Let r = 0 - -2. Suppose x*w**r - 4\/5*w + 0 = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - 67. Let d(k) = 2387*k + 155. Let w(q) = -31*q - 2. Let b(s) = y*d(s) - 155*w(s). Let x(u) = -u**2. Give b(x(h)).\nAnswer: -31*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h + 8. Let y be 0 + 8\/(-14) + ((-2323)\/161 - -22). Calculate q(y).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0*a*a*a*a)**(-22)*(a*a**(5\/2)*a)\/a*a**(2\/5) assuming a is positive.\nAnswer: a**(-1061\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 3 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390872 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1011 - -2074. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 538 - 536. Which is the second biggest value? (a) o (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/32)\/(4 - (-47)\/(-12)). Calculate the greatest common factor of 747 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -21*b**2 - 1\/3*b**5 + 0*b + 0 + 0*b**4 + 0*b**3. Let d(z) = 2*z**2. Determine d(n(w)).\nAnswer: 800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158013554?\nAnswer: 2, 79006777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 88*14\/(-4)*(-24)\/168\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/6 - 13*a**3\/6 - a**2 - 3*a. Let g be u(6). List the prime factors of (-274)\/g + 1\/(-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/62)\/(1537\/(-47647)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -417*m + 3104. What is c(7)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -10. Let x(h) = d - 2*h + 0*h**2 + 2*h - 2*h**2 - h. Let k(z) = -z**2 - z + 1. Determine -4*k(g) + 3*x(g).\nAnswer: -2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + 1 - -1 - -3. Let r(o) = o**2 - 3*o - 1. Let w = 4 - 2. Let k(l) = 2*l**2 - 2*l - 1. Let h(b) = u*k(b) + w*r(b). Calculate h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23367*n**5 + 411*n**2 - 15*n.\nAnswer: 1402020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -201588 or 3309?\nAnswer: 3309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 757878 + -1797878. What is s rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 8*q**2 - 4*q - 9. Let l = -99 - -106. What is x(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1857576*64\nAnswer: -118884864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3983841 is divided by 1047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 71. Let a be o(-19). Let d be 38\/16 + (a - 43\/8). Solve -5*r - 4 = -4*q + d, -2*r - 7 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/16 and 13\/304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4519665*f**4 - 210*f - 8621 wrt f.\nAnswer: -54235980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -379509525\/5049623 - -1905958638607687975\/13149218292. Let i = 144948364 - b. Let q = -105\/124 - i. What is the common denominator of q and 71\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 25276310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67371, 67521, 67671, 67821, 67971?\nAnswer: 68121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 645112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 6 = 0. What is the first derivative of 0*u + u - 6*u - 4 + y wrt u?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - 171) + 190 + -120?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:02 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/7, -8, 0.4, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2) + -1*(sqrt(2)*4 - sqrt(2))).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 79 + 541*b**2 - 161.\nAnswer: 541*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6988, 6998, 7008, 7012, 7004?\nAnswer: 6978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**2 - 2*r - 1. Let w be s(-1). Suppose 563*u + 10800 = 833*u. Calculate the remainder when u is divided by 234\/w + (-6)\/15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbf when three letters picked without replacement from {e: 1, f: 1, h: 2, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1374 - -2400. Suppose 4*v = -2*d + 4074, -v + n = 4*d - 2*d. What are the prime factors of v?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110420 (base 5) to base 3\nAnswer: -12021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 4:50 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 - 362360*o - 362359 = 0. Calculate o.\nAnswer: -362359, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3691 - -3720. Solve -3*v = 3*p - 9, -2*v + g*p + 9 = 32*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 3 + 10)*(-1 - 21*m + 1) as q + c*m and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + i + 0*i)*(-3 + 3 + 2*i)*(-3 + 3 - 3) as a*i**2 + d*i + p and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k - 22*k - 23*k)*(4 - 5 + 2)*(-6*k + k + k).\nAnswer: 208*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5121 (base 7) to base 11\nAnswer: -1378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56, -16, -152, -364, -664, -1064?\n\"Answer: -2*k**3 - 20*k**2 + 2*k + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/9)*y**(-11)*((y*(y\/(y\/y**(-1\/11)*y))\/y*y)\/y)\/y**(3\/5))**(25\/3) assuming y is positive.\nAnswer: y**(-30860\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 8\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 3*k - 1. Let q be o(-3). Let z(x) = 4*x + 7. Let h be z(q). What is the highest common factor of h and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2353909, -4707814, -7061719, -9415624, -11769529, -14123434?\n\"Answer: -2353905*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -370 + 748. Calculate the common denominator of -5*(-2)\/(-16) - 2 and ((-20)\/30)\/(64\/z).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6514 divided by 3072?\nAnswer: -3257\/1536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1299 divided by 172.\nAnswer: 1299\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2460 and -167\/19980.\nAnswer: 819180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 10) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**3\/15 + 8*i**2 + 180*i + 8753. Solve s(w) = 0.\nAnswer: -10, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668, -684, -690, -680, -648, -588?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1861151\/40 - 46532. Let a = 21\/8 + j. Is a bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8. Let n be -3 + f\/1 + 3. Suppose -4*g = 2*w - 2 - n, 2*w + 3 = -5*g. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 13 + (-5 + 0 + 4)*(4 - 2 - 1))*(-2 - 2 + 2)*(-16 + c + 16)*(-1 + 3 + 0).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from njjnj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 80 = -4*p. Calculate the smallest common multiple of p and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44291\/36 + 3683\/3. What is the common denominator of n and -43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -22*i + 18. Suppose 7*u + i = 9*u. Suppose -3*x + 19 = -0*x + 2*v, -u*v = -6. Solve x*n - 5 = 0, 0 = 5*z - 0*n - n + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -26. Let v(z) = -z**3 - 5*z**2 - 3*z + 3. What is v(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:50 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*c - a - 4, 5 = -a. Let l be (1 - -1) + -5 + 5. Factor c*f - 4*f - f - f**l - 2*f.\nAnswer: -f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**2 - 2740*v + 2745 = 0.\nAnswer: -549, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5869488029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 + 138. What is the remainder when 133 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + l + 4. Let p be s(0). Let q be p\/((-3 - -2) + 3). Which is the second smallest value? (a) 0.3 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3\/4 - 13561*j**2 - 185811260*j - 51682348400 = 0.\nAnswer: -26980, -284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 3*q**2 - 9*q + 4. Let p be g(5). Let m be (p\/(-3))\/((-21)\/14). Solve -5 = 5*u - m*w, 0 = u + u - 4*w + 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + b + 4, -g - 5*b - 32 + 12 = 0. Let u = 2 + -1.9. Let v = u - 0.3. Sort 4, g, v in descending order.\nAnswer: 4, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzf when four letters picked without replacement from {v: 1, f: 3, y: 2, z: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164*g**6 + 2*g**3 - 393*g**2?\nAnswer: -19680*g**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, -6, -2, -2235, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*f - 4, 5*j - 8 = -2*f + 4*j. Suppose -f*h + 0 = -4*v + 6, 0 = -3*h - 15. Put v, 5, 0, 4 in decreasing order.\nAnswer: 5, 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:20 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 9. Let g be o(-6). Let p(w) = w + 6. Let n(r) be the first derivative of -r**2 - 11*r + 1. Let v(f) = g*n(f) - 5*p(f). What is v(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, -4 in increasing order.\nAnswer: -16, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 84 = 5*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2324 divided by -4\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = -2*b + 3*v, -b - v + 4 = 0. Suppose s = 4*s + b*j - 296, 3*j + 3 = 0. Calculate the remainder when s is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063379 rounded to four decimal places?\nAnswer: 0.0634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + -33 + 50 + -39 + -13\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*p**2 - 71*p**2 - 98*p**2 + 6*p.\nAnswer: -p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 697998101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*n + 0 - 9*n.\nAnswer: -17*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 564577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 15, -4*t + 136 = -4*r - 48. Let i = 84 + r. Let b = i + -139\/4. What is the nearest to b in 0.1, -4, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9936 - 3.657. Let b = k + 0.0704. What is b rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -47*d + 136. Give q(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1150 + 380 + 387 + 383 - 8*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**6\/15 - f**4\/6 + 9*f. Find the third derivative of v(k) wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 155 = -5*h, 5*h - 4*h - 3*x - 12 = 0. What is the third derivative of -h*p - 19 + 27*p + 18 + 81*p**3 + 30*p**2 wrt p?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3173672.\nAnswer: 2, 396709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -670 or -659?\nAnswer: -670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.32 - -38.32. Let o be 1\/(-2) - 1*-1. What is the closest to d in o, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*c**3 - 3435*c**2 + 57845*c - 54285 = 0.\nAnswer: -987\/25, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3 + 2 = 0. Let s = 37 + -38. Are s and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 853 divide 4624966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*q = -3505 + 190 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 9*r**2 + 11*r + 11. Let y(j) = j**3 + 2*j**2 - 7*j - 6. Let k be y(-4). Let h be o(k). Is (3 - h) + 177\/3 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -2\/17, -1396, 4, 591?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + (-2348)\/(-14). Suppose 671*u + 2833 - 16787 = 137. What is the greatest common divisor of c and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*s - 30 - 3, 2*s = -o - 1. Suppose 5*l + 4*r = -11653, -r - 2324 = l + s*r. Let w = 3670 + l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/30 and -93\/54485152?\nAnswer: 817277280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 836.7409t in milligrams?\nAnswer: 836740900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 9 + 58)*(10*u - 3 + 3) to the form t + i*u and give i.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/29106 and -109\/176.\nAnswer: 232848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-3 + 50\/15). Suppose 7*j - 3*z = v*j - 100, 5*z = -3*j - 26. Let x = j + 35. Calculate the smallest common multiple of x and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105245875?\nAnswer: 5, 7, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0 + 1\/3*c**3 - 1\/12*c**4 + 117*c**2 + 0*c. What is r(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-15)*-2*((-3069)\/110)\/93?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.973532ug to milligrams.\nAnswer: 0.004973532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268) + -4 - (sqrt(63) + 2)*5) + -3)**2.\nAnswer: -102*sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 12. Let h(u) be the first derivative of u**6\/360 - u**5\/24 - 5*u**3\/3 - 4. Let b(z) be the third derivative of h(z). Determine b(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -36536*z + 182931. Calculate l(5).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, u: 1, f: 1, z: 5}. What is prob of sequence uzf?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3920)\/140*7\/((-245)\/(-20))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 4*o**3 - 4)*(-2*o + 4*o - 3*o) - o - 41356*o**4 + o + 41921*o**4 in the form z*o + f*o**2 + m*o**3 + n + s*o**4 and give s.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-22 - -32) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0028802 - -0.00154. Round g to 4 dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 870\/1015*14*2\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 48331356 divided by 6\nAnswer: 8055226","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: 5 - 2 - (20 + -9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 20*m = 10870. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145213029 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-21 - (-1 - -4 - 2)). What are the prime factors of (k\/(-8))\/5*-82*3?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 10. Let h = -13 - 37. Let n = h + 56. Calculate k(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 349\/21?\nAnswer: 349\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/9)\/((-6)\/(-108)). Let x = g + -30. Solve -5*j - 10 = -x*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26120?\nAnswer: 2, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 10, 4.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 362667*d + 2538740. Give c(-7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/34 and -73\/442.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(459))\/sqrt(3) - ((sqrt(1377)*-2 - sqrt(1377) - sqrt(1377)) + (sqrt(51)\/sqrt(3))**2*-4).\nAnswer: 68 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f - 1. Calculate o(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -163, -222, -287, -358?\n\"Answer: -3*v**2 - 50*v - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/43 (b) 20 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-22)\/(-8)*(221 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -7.7. Let w = 0.1 - y. Let o = -10 - -5. Which is the second smallest value? (a) o (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 1:35 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {o: 1, c: 3, s: 3, n: 6, u: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 5*o**2 - o + 5. Let n be j(-5). Let w be (44\/n)\/((-21)\/75). Let g = w - -363\/28. Calculate the common denominator of g and -47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/15 - j**4\/2 - 8*j**3\/3 + 31*j**2\/2 - j. Let a(s) be the first derivative of g(s). Determine h so that a(h) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 2, q: 1}. Give prob of sequence qi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -1 + (1*-20)\/(-4). What is the third derivative of 15054*v**4 - 9*v**2 - 15054*v**4 - 18*v**z wrt v?\nAnswer: -2160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**6\/72 - 35*v**3\/6 - 65*v. Let d(o) be the second derivative of x(o). Let q(t) = -4*t + 3*t + 2*t. Give d(q(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, -1438, -5467, -13348, -26365, -45802, -72943?\n\"Answer: -214*b**3 + 37*b + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137709 rounded to three dps?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -120*v - 4. Let h be n(-7). Let i = h - 585. Calculate the remainder when i is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25833077 is divided by 5166603?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1314264 kilometers?\nAnswer: 131426.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 4*i + 40. Let t = i + -10. Let f = 25 - 24. Solve g - f + t = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1142404 + -3?\nAnswer: 1142401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/6 - 6\/9. Suppose -12 = 3*p - k*p. Let d = 6 - p. Solve d*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1745 + -1743. Suppose -4*b = b - 20. Solve -g*y = 4*r + 6, -2*y = -b*r + 2*r - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13128 - 6504. Suppose -928 = -32*b + t. Which is smaller: 235 or b?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2544\/15 - 4\/(-10). Suppose 3*n + 9 = -2*n - 3*u, 5*n = 2*u + 6. Suppose n*b + f = 2*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 170. Let k(x) = x**3 + 114. Let l be k(0). Let i = u - l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 1975, 4437, 7885, 12319?\nAnswer: 17739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19444 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 2:31 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Suppose t + z = -0*t. Let y be (-63)\/(-3)*t\/(-3). What is the highest common factor of 28 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 5. Let u(f) = -f + 6. Let k(r) = -4*d(r) + 5*u(r). What is the remainder when k(-5) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41520 and 220606140.\nAnswer: 882424560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3823)\/61168*1*(-4)\/21?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-four fifths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-63))\/(1*1\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -3\/37, -1, -5 in decreasing order.\nAnswer: 42, -3\/37, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233257?\nAnswer: 17, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14359999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0065280547 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 + 5.08. Let t = -7677519 + 18326237452\/2387. Let v = t - 3\/217. Which is the nearest to 1? (a) v (b) 8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4 + 1)*-2. Let o = -142592\/5 - -28423. Let y = o + 95. What is the nearest to y in -4, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 6:57 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 3. Let m be t(-2). Suppose -m*y + 2 = -5*y. What is the units digit of (2\/y - -1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15424, 30785, 46148, 61513?\n\"Answer: v**2 + 15358*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 840857028 to the power of 1\/3, to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**3\/6 + 94*j**2. Let o(g) = 2*g. What is o(m) + 2*r(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93708, -93550, -93392, -93234, -93076, -92918?\nAnswer: -92760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-6)*(-5 + 116\/20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78646 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2713160, -5426314, -8139468, -10852622?\n\"Answer: -2713154*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -4\/7 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, a: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*a - 18, -43 = -5*m - 10*a + 6*a. What is the greatest common divisor of m and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61918766334 minus -0.4?\nAnswer: 61918766334.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (8 + -7)*(20 + 1) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2)*s*s*(s**(-5)\/s)\/s*s*s*s*(s*s*s**1)**(-3\/2) assuming s is positive.\nAnswer: s**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j**2 + 12*j**2 + 10*j**2 + 33*j**2 - 53*j**2 - 26*j**2 + 6*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*y + 8 - 8)*(3*y**4 + 4*y**4 + 2*y**4) - y**5 + 4 - 4.\nAnswer: -118*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + 3*u**4 - 5*u**4 + (3 - 4 + 3 + (2 - 5 + 0)*(-4 + 1 + 4) + (-1 + 2 + 0)*(-4 + 4 + 1) - 4 + 1 + 4)*(3*u**4 - 4*u**4 - u**4).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 5*s**2 + 4 + 18*s**2 - 7*s + 0. Let k be o(1). What is the greatest common factor of k and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5372.3989 + -5335.4. Let r = a - 37. What is r rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110020 (base 3) to base 11.\nAnswer: -1386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 + 200. Factor 6*s**2 + 3*s**4 - 218*s**p + 6*s**2 + 221*s**3 - 12*s - 6*s**4.\nAnswer: -3*s*(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1403565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = k + 3*p - 4, -4*p = 0. Suppose 994 = k*h + 418. Calculate the greatest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/19 + 6096*y**2\/19 - 4651242*y\/19 + 9278116\/19.\nAnswer: -2*(y - 1523)**2*(y - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/(-135)*-3 - 14\/12*32. Put 0.4, b, -1 in decreasing order.\nAnswer: 0.4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83.6 + 84. What is the nearest to 2\/9 in s, -0.2, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**5 - 2*p**2 - p**5 + 2*p - 2*p wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - ((-9)\/(-3))\/3. Suppose -2*l - t*l = -72. Let x(k) = -k**3 - k**2 - k + 36. Let q be x(0). Calculate the highest common factor of l and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -204, -203, 1, 4, 2, -3, -1 in decreasing order.\nAnswer: 4, 2, 1, -1, -3, -203, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/8*97 + 12. Sort -0.2, 3\/13, d, -4, 2\/3 in descending order.\nAnswer: 2\/3, 3\/13, d, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 v when four letters picked without replacement from {w: 2, b: 4, q: 4, u: 6, v: 1, p: 3}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12352, 25571, 38792, 52015, 65240, 78467?\nAnswer: 91696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 21.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1)\/2*(-4)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*m = -26 + 3, m - 29 = -3*s. Let p(l) = 5*l**2 + s*l - 2*l**3 - 44*l**3 - 4*l - 4. Let r be p(-4). Round r to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38555821 is divided by 12851933?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9806646 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960 - -1 - 1\/(-2)*4.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -321 + 317. Let h(o) = -o**2 - 3*o + 5. Give h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 + -10 - -5 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/13))**9)**38 assuming p is positive.\nAnswer: p**(684\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let i(y) = -112802*y. Calculate i(o(j)).\nAnswer: 112802*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 1 - (5 - 10). Suppose m = -0*m - j + 4, -b*j = 0. Suppose 3 = -k + 2*c, 0 = -5*k + c + 3*c - 9. Is k less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 189?\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (327\/(-6))\/((-4)\/(-240)*10). Is r at least -327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 107 - -5?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5923340 is divided by 2023.\nAnswer: 2019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 + 7775*f**2 - 4. Let x(p) = 16*p**3 + 38868*p**2 - 22. Determine 11*h(c) - 2*x(c).\nAnswer: c**3 + 7789*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/17 in 0.4, -2, 20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7667 + 605 = 0. Does 44 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 7, l: 2, k: 7}. What is prob of picking 1 n and 1 k?\nAnswer: 49\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**4 - x**4 - 2*x**4 + (6*x - 7*x + 4*x)*(-6*x**3 + 4*x**3 + 4*x**3) - 2*x**4 + 2*x**4 + x**4 as f*x + t + p*x**2 + j*x**3 + g*x**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3 - 394957*c**2 - 54*c + 185371446?\nAnswer: -3*c**2 - 789914*c - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (11 + -5 - 2). Let k(c) = -c**2 + 4*c + 5. Let n be k(v). Suppose -4*x = -5*m + 72, 0 = -8*m + 4*m + 5*x + 63. Solve 2 = n*w + m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/24 + (-175)\/(-28) + 66\/(-22). Let i(u) = -u - 2. Let v be i(-5). Solve 4*n = 3*t - 0*n - v, -2*t - 15 = d*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 1. Let y(v) = -10*v**2 - 8. Let w be 66\/(-54) + (-2)\/(-9). Let b(m) = w*y(m) - 8*u(m). Let s(x) = 2 - 7*x**2 + 1 - 3. Determine b(s(o)).\nAnswer: 98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*i - 363 + 3471 = 0. Is i > 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 424\/(-530) - (-4 - -3). What is the fourth smallest value in f, 28, 1, -6?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -56089223?\nAnswer: -56089220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v + 11. Let n(k) = -1. Let o(s) = -2*j(s) - 22*n(s). Let h(a) be the first derivative of -32 + 0*a + 1\/2*a**2. What is h(o(w))?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*i + 24, 0*i = -o - 4*i - 9. Let j be (1 - 15)*3\/6. Let c = j + 6. Sort o, 5, c in decreasing order.\nAnswer: 5, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 8 (c) 3\/2 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b + 71 = -35*b. Is b at most as big as -3\/379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*((-18)\/21)\/((-76)\/(-532)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26126?\nAnswer: 2, 13063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -12\/7, 3, -1, 7, -66, 8 in descending order.\nAnswer: 8, 7, 3, -1, -12\/7, -7, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*m - 14 = -0*m, 0 = -4*d + m - 6. Let h = 54 - 177. Let j = 153 + h. Is d smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2245 - 370. Let w = -643 + j. What is the remainder when w is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3665730 - 5?\nAnswer: -3665735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 + -47. Suppose 114 = -t + 7*t. What is the greatest common factor of h and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -11*s**2\/2 - 3*s + 3. Let k be (-32 - -2 - 0)*(-2)\/5. Let n(d) = k*d - 21*d + 11*d. Determine n(i(a)).\nAnswer: -22*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 193*k - 44 + 1009. What is the biggest value in k, -2\/33, 2\/7, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 47 + 1 - (3 + (4 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30*63\/(-693))\/(-3)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 537*i**2*t**4 + 3*i**2*t**2 + 2*i**2*t + 1585*t wrt t.\nAnswer: 6444*i**2*t**2 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**2 - 8*p**4 + 7*p**2)*(-2*p + 3*p - 3*p + p - 4*p + p + (-1 - 3 + 6)*(-5*p + 3*p + 0*p) - 3 + 3 - 2*p + 2 + 2*p + 3 - 4).\nAnswer: 64*p**5 - 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.5. Let t = 0.46 + r. Let k = 0.42 + t. What is k rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7813 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1560 divided by 130\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 97 + 33 = 0. What is the remainder when 6 - 3 - g\/2 is divided by ((-16)\/(-6))\/((-2)\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066063 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -909922072210.\nAnswer: -909922072210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -8 + 11 - 24\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 268, 2, -4, 0, 37.\nAnswer: -13, -4, -3, 0, 2, 37, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127726779, -127726787, -127726795?\n\"Answer: -8*f - 127726771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1\/4*o**4 - 4*o + 1\/2*o**2 + 0 + 1\/20*o**5 - 1\/6*o**3. Give h(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-2))\/((-87)\/(-348)) + 1192.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 2*r - 2*r + (6*r**2 + 2*r**2 + 0*r**2)*(-125*r - 119*r + 223*r).\nAnswer: -166*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - 1)\/((-629955)\/52497 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 13*y**2 + 6*y - 125. Is 39 a factor of r(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3 - 3*c - 3*c**2 - 3*c**2 + 5*c**2. Determine o(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 149810*m - 599208.\nAnswer: -2*(m - 74901)*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**7\/70 + 11*l**4\/12 - 25*l**3\/6 + 22*l**2. Let d(q) be the first derivative of f(q). What is the derivative of d(i) wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, 1, -12, -2 in decreasing order.\nAnswer: 18, 4, 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + (-276)\/(-36))\/(3*12\/(-27)). What is the nearest to 2\/5 in -0.21, l, -0.4, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7130.\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 868.4221ml in litres?\nAnswer: 0.8684221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*y + 1320 = -111*y. Solve 4*a + 5*t - 17 = 0, -1 - y = -5*a + 3*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**5 + 836*z**4 - 24*z**3 - z**2 - 32792 wrt z?\nAnswer: -120*z**2 + 20064*z - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1285658 - 991274 = 49*q. Let x = -1757 - q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.15 and -7?\nAnswer: -78.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i - 42. Let b(v) = 2*v - 1. Give -2*b(j) - y(j).\nAnswer: 6*j + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -307309942+27774\nAnswer: -307282168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 64411445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 80289?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 40 = -345*p + 344*p, 0 = 5*b for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-315)\/(-735)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4081626?\nAnswer: 2, 3, 23, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = -2*z, -4*z + n + 2*n = -5. Solve -3*u - z*u = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37373 * 0.528.\nAnswer: -19732.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 27*p + 213 = 0. Let r = 126 - p. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 12*o - 7. Let w = -27 - -16. Let s be q(w). Solve s = 3*v - 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 439376 and 28?\nAnswer: 439376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3401 is divided by 478.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -221*p + 238*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 962723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181\/(-75) + (-103)\/((-95275)\/74)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1305 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*g - 4*g**2 - 47*g + 23*g + 2 to o*g + f + v*g**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/3*(-45)\/(-20). Suppose -t*u + 72 = 3*u. Calculate the greatest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28253 divided by 91?\nAnswer: 28253\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27464 + 27463.7. Let h = 6 - 6.4. What is the nearest to 0.2 in o, h, 10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*1\/(-3)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -127*f**3 - 130*f**3 - 162*f**3 + (-2*f - 2 + 2)*(-2*f**2 + 6*f**2 - 3*f**2).\nAnswer: -421*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 9. Let f be (1\/(-2))\/((-3)\/42). Let n be d(f). Let a(j) = j**2 - 2*j - 6. What are the prime factors of a(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 0.59824\nAnswer: 6.58064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11*f*f\/(f*f\/((f*f*(f\/((f**(-14\/3)\/f)\/f))\/f)\/f*f)))\/(f**(-4\/5))**(-2\/45) assuming f is positive.\nAnswer: f**(4417\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-392)\/(-245))\/((-6)\/(-20) - (-38)\/(-95))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 12400245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(245).\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 76485*i + 917892.\nAnswer: -(i - 12)*(i + 152982)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 82*s. Let a(z) = -8911*z**2. Calculate u(a(k)).\nAnswer: -79405921*k**4 + 730702*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*t = 3*m - 95, 0 = 4*m - t - 55. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 10, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 4*l**3 + 0*l + (4*l**2 - 4*l**2 - 2*l**2)*(-l + 1 - 1) + 5816*l - 5816*l + 328*l**3 to g + t*l + a*l**3 + b*l**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 21. Let c(y) = -y**3 + 11*y**2 + 11*y - 6. Is c(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064315065 to 4 dps.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -587*c + 5. Let j(w) = 117*w - 1. Let t(p) = -10*j(p) - 2*l(p). Let z(b) = 4 - 4 - 3*b. Give t(z(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etqvjqveeqqqte. Give prob of sequence vvj.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/10954177 or -1?\nAnswer: 1\/10954177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r - 96 - 170 = 17*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**7\/42 - 7*i**4\/6 + 56*i**3\/3 + 364*i**2. What is the first derivative of c(t) wrt t?\nAnswer: 20*t**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*t - 200, -2*t - 3*b + 126 = -5*t. Let f = 337\/9 + t. What is the closest to 1 in f, -5, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**2 - 3*f - 36. Let z(k) = -21*k**2 + 8*k + 96. Let q(p) = -8*i(p) - 3*z(p). Let g(s) = 217*s. Give g(q(l)).\nAnswer: 1519*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -a + 3*a - 26790, 5*v - 66990 = -2*a. Round v to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-126)\/(-252))\/(-4 + 11\/3). What is the biggest value in 3, -0.1, p, 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (12 + -2 + 35 + -43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587414831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4211734045 - -3?\nAnswer: -4211734042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21102 (base 3) to base 14\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(2 + (-12)\/(-9)). What is the tens digit of 80\/2 + o + 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7584, 90, 2 in ascending order.\nAnswer: 2, 90, 7584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 138*i**4 + 401*i**4 + 37*i - 35*i + (-7*i + 9 - 9)*(-i**3 + i**3 + 2*i**3).\nAnswer: 525*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*q**2 + 8 + q - q + 127*q**2 to d + b*q + f*q**2 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s + 5*c, 2*c = s + 4*c. Solve -2*z = -s*t + 18, 5*t - t + z = 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14904 - -2027007\/136. What is the common denominator of m and -87\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (40 - (-41 + 35))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x. Let b(m) = -3*m. Let g(q) = -4*b(q) + 7*z(q). Let r(s) = -41*s**2 + 28619851 - 28619851. What is r(g(k))?\nAnswer: -1025*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:32 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/4*(1 - (-70)\/(-54)). Which is the fourth biggest value? (a) -2\/3 (b) h (c) -0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -5*8\/(-20)*(-90)\/(-4) and 303?\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33f8 - 3e?\nAnswer: -3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -10*f - 0*f. Calculate the remainder when 77 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.049, -53?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27290000 rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*b - 865 = b, 2*b - 1060 = 5*v. What is the common denominator of (-738)\/(-80) + 4\/10 and 633\/v + (-2)\/7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2894 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -4, -7\/2 in descending order.\nAnswer: 67, -7\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 87 + 91 - 178.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2*(1 - 2). Let g = -276\/5 - -55. What is the second smallest value in 1, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/12 - 5*g**3\/3 + g**2 + 698*g. Calculate h(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -15 + 0 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from fjffqpqjqfftf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 24. Let z be x(7). Suppose n = -5*b + 19, z*b = 18 - 14. Calculate the remainder when 698 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {r: 1, s: 3, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.4196 rounded to 2 decimal places?\nAnswer: -7.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 7*i**2 + 10*i - 14. Let q be x(8). Solve q = -21*t + 20*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a - 2*a**3 + a**5 + 3*a - a + a + 2*a**5 + 6*a**5 - 2*a**5 - 5*a**5 + (-2*a**2 - a**2 + 2*a**2)*(-4*a**3 + 3*a**3 - a**3).\nAnswer: 4*a**5 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l**3 - 8383*l - 37018.\nAnswer: -9*l**2 - 8383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 2 - (0 + -7). Let f(y) = 5*y - 41. Let i be f(7). Let k be i*4\/(-24) + 1*r. Solve 5*v + c + 11 - 26 = 0, 2*v - 2*c = -k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5301 and 684.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*s - 20, 4*z - 2*s = -0*z + 68. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/6 in 5, 1.423, 14, 14\/5?\nAnswer: 1.423","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:10 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m + 33. What is the least common multiple of m and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5392210 * 3.\nAnswer: -16176630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 23*r - 243. Let t be c(21). Calculate the highest common factor of 105 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(3 + (sqrt(300) - (sqrt(300)*1 + sqrt(300))) + sqrt(300) + -5 - (1 + (sqrt(300) + 2*sqrt(300) + sqrt(300) + -3 + sqrt(300) - sqrt(300)))))**2.\nAnswer: 76800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let b be u*((-222)\/(-72) - 2). Sort 3\/7, b, -2\/13 in ascending order.\nAnswer: -2\/13, 3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (13160\/424 - 19)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-30))\/((-1)\/(-48)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 13*g + 75. What are the prime factors of w(-6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1187, 4, 7, -3, -20, 12 in descending order.\nAnswer: 1187, 12, 7, 4, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67\/3 of a century?\nAnswer: 26800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 2, 10\/9, 4 in descending order.\nAnswer: 4, 2, 10\/9, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 25373262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/6 - 9838*z**4\/3 - 768925*z**3\/6 + 394300*z**2\/3 = 0 for z.\nAnswer: -40, 0, 1, 19715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 2) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 10, -30 = 8*n - 3*n - 4*l. Let h = 5 + -6. Let y be -1*(2 + h)*n. Solve y*p + 2 = -4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36167 and 94459.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 5*k**2 - 3*k + 9. Let j be g(5). Is (40168\/16)\/((j\/4)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {q: 1, h: 2, z: 4, x: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8525196000 rounded to the nearest 1000000?\nAnswer: -8525000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyvvawyaaa. What is prob of sequence yy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-3 - 6\/12 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkkg when four letters picked without replacement from {g: 12, k: 2, w: 5}?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1\/2, -2, 3\/4, 3\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -359 + 365. Let b be (-10)\/d + 160\/24. Let l(g) be the third derivative of -g**6\/120 + g**5\/10 - 7*g**4\/24 - g**3\/6 - g**2. Give l(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + 0.58. Let x be (-1)\/(-3)*586 + -1. Let q = x - 194. Which is the closest to 2? (a) g (b) q (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/2) - (-13 - -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280)*-1 + (sqrt(120) - (sqrt(120)*1 - sqrt(120)))\/sqrt(6))\/(sqrt(64)*1 - sqrt(8)\/(sqrt(12)\/sqrt(6))) + -4.\nAnswer: -7*sqrt(5)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75145 (base 10) to base 6.\nAnswer: 1335521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 87*w = 2838 - 576 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269930 is divided by 1868.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 4, 0, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -438271.9.\nAnswer: 219135.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 480 + -303. Let i = n - 81. Suppose 3*k = -12, -k = -2*l - 4*k + i. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -50. Suppose -3*n + u*n = -33000. What is n rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311500109 a multiple of 507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 32. Suppose 21*o = 25*o - 32. Suppose -o*i - 64 = 8. Is m at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = -0*m. Let u be (m - 3)\/(4 + 5). What is the second biggest value in -2, 2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/(r\/(r**10\/r)))\/r)*r*r*r)**(-8))**(-26\/3) assuming r is positive.\nAnswer: r**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1863 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -55*t + 41. Let v(c) = 82*c - 64. Calculate 7*d(i) + 5*v(i).\nAnswer: 25*i - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -48*n**2. Let h(k) = -k**2. Let d(v) = 2*g(v) - 80*h(v). Let m be (-6)\/(-8)*34*2. Let i(r) = m*r - 102*r + 49*r. Determine i(d(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3) + 4)**2 + sqrt(38)\/sqrt(2)*-5.\nAnswer: 3*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 8) in base 10?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**9\/15120 + u**8\/2240 + u**7\/840 + u**6\/720 + 3*u**4\/4 - 15*u. Let w(v) be the third derivative of m(v). Factor w(b).\nAnswer: b*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - 3*s)*(0*s**2 - 2*s**2 + 7*s**2) + 3*s**3 - 4*s**3 + s + 0*s.\nAnswer: -6*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -72*o + 4. Let t be s(-6). Let u = 435 - t. Let b(c) = 6*c**3 - 2*c**2 - 2*c - 2. Let m(z) = z**3 + z**2 + z + 1. Calculate u*b(i) - 2*m(i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Let c(k) = k + k + 1 - o. What are the prime factors of c(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 21 = -3*n, -2*o = -5*n + 3*o. Find the second derivative of -11*d**3 + d**3 - 5*d + 2*d**n wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 10*t**2 - 15*t + 1. Let d be b(8). Suppose 14*h - 60 = d*h. Solve -h*m = -13*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -838.\nAnswer: -51\/838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 915234.8 years?\nAnswer: 915.2348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5144973 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 - 3 + 7 - 2*z**2 + 30*z**4 - 28*z**4 as a*z**4 + l*z**2 + b*z**3 + t*z + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6552 = 3*p. Suppose -4*q = 2072 + p. Is (-2)\/10 - q\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38772 is divided by 12917.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2245 - 2243. Solve 20 - 22 = t*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 10, 17, 24, 31, 38?\n\"Answer: 7*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -3423.\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/2 - 2\/4. Is t - 1\/(-1) - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412, -471, -558, -661, -768, -867, -946, -993?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + 0)*5.\nAnswer: 10 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 3*z**2\/2 - 8771. Let x(g) = -4*g**2 + 14*g. Give x(p(y)).\nAnswer: -36*y**2 + 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -0.2 (c) -5 (d) 1843\/4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257 - 256.94. What is the closest to 0 in q, 1, 9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (544 - 549) + 0 + -9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**8\/6720 - n**5\/120 - n**4\/24 - 3*n**2. Let k(b) be the second derivative of v(b). What is the derivative of k(u) wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**3\/3 + 5*d**2\/2 + 2. Let l be j(-5). Let l + 2\/3*w**2 - 2\/3*w**3 + 0*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 4*j + 4. Let f be u(-5). What is the common denominator of 125\/42 and (34 + -29)*(26\/105)\/f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2\/5)\/u)*u*u)**(-10\/7)\/(u**(2\/7))**1)\/(((((u*u**(-1\/3))\/u)\/u)\/u*u**(2\/3))\/(u**(-2\/9)*u**(-8))) assuming u is positive.\nAnswer: u**(-827\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18813 + 18819. Let j(z) = 6*z + 17. Let f(i) = -3*i - 9. Let n(m) = -7*f(m) - 4*j(m). Let k(d) = 7*d + 11. Determine w*k(c) + 13*n(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)*m)**(1\/10)\/(m**(-1\/4)*m)**44 assuming m is positive.\nAnswer: m**(-1643\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/4))**(-2\/43) assuming q is positive.\nAnswer: q**(-3\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.602987 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 - -39.29. Let i = 44.570742 - 5.570684. Let v = i - t. What is v rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -350*o**3 + 4*o**2 - o - 8. Let p be x(-2). Suppose -39*f - p = -5*l - 40*f, f = -5. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87769700 rounded to the nearest one million?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*i**2*w - 2*h**3*i*o*w + 31*h**2*o + 2*h*i**2*o + h*i**2*w + 25*h*o*w wrt h.\nAnswer: 6*h*i**2*w - 12*h*i*o*w + 62*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8094.803 - 8089. Let h = 0.003 - g. Round h to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 0. Let x be ((-3)\/(-3))\/(8\/32). Suppose -5*f + 151 + x = k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drr when three letters picked without replacement from {r: 2, d: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-6)\/(-9))*-3. Suppose -y - f*y + 16 = 4*w, -3*y + 17 = 5*w. Solve 4*t + 0 = -y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22203019 is divided by 9868.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 196*v**2 + 26*v + 1. Let t be x(-1). Calculate the highest common factor of t and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49566 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*l + 32 - 34, 5*p + 20 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in -15, -4, -3\/2, 6.2?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2. Let p(f) = -14*f + 78. Let j(s) = -16*s + 79. Suppose -i + 17 = 24. Let l(n) = i*p(n) + 6*j(n). What is y(l(o))?\nAnswer: 8*o**2 - 576*o + 10368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 286.4 - 286. What is the third smallest value in 26, 3, m?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.056 + -0.516. Let i = 9.96 + v. Let f = -6 + i. What is f rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 - 23*h**2 - 5*h - 3. Let u be v(6). Let d = 1\/1001 + 998\/3003. Which is the third smallest value? (a) d (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 716268261?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01114058 rounded to 5 dps?\nAnswer: 0.01114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -6?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*d + g - 4824, -3*d + 3*g = -7239. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*s - 2315049 = -500142. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j, -2*s + 2 + 46 = -2*j. Let f be (-4 - (-176)\/33)\/(2\/15). Solve f*o - 5*o = -s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 316854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, c: 6, z: 4}. Give prob of sequence uuu.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-1456)*(-36)\/(-27)*(-6)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28376 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 + 5*i**2 - 328*i\/7 + 688\/7.\nAnswer: (i - 4)**2*(i + 43)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 156. Suppose -5*d - 205 = -5*m, 2*d + d = -4*m + 136. Suppose -m*r + b*r = 8. Solve 3*z + 2*a = 4*a + 10, 0 = -r*z + a + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4443 + 12816*j + 4443)*(-j**2 + 5*j**2 - 5*j**2)*(-4*j - j + 3*j) to the form y*j**2 + f*j**3 + w + t*j**4 + k*j and give t.\nAnswer: 25632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12850 and 54998?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -39589?\nAnswer: 6\/39589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 85097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (513\/570)\/((-14)\/1176*14)\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from {y: 3, p: 1, j: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/(-4232))\/(2\/(-8))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467756823 to the power of 1\/3, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x. Let h(m) be the second derivative of 149*m**3\/2 - 369*m. Calculate t(h(f)).\nAnswer: -894*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5126 - 5076 + 0*w - w + 3*w. List the prime factors of o(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -218, 4, -5 in decreasing order.\nAnswer: 4, -5, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/(-9)*(-72)\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 + 206347*r**2 + 1650750*r + 2476116.\nAnswer: (r + 2)*(r + 6)*(r + 412686)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58259 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69 times 0.3?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.5008857 nanoseconds?\nAnswer: 0.0000005008857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1854940.497 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33075891 rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -5\/6*t**3 + 0 + 1\/12*t**4 + 5*t + 3\/2*t**2. Let x be l(5). Which is the smallest value? (a) -1 (b) -2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5729 and -153?\nAnswer: 876537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 9 + 13*a + 4 to h*a + n and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 - 4*p**3 + p**4 + p**3 - 3 + p**3 in the form d*p**3 + q + f*p**4 + n*p**2 + k*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22274668?\nAnswer: 2, 13, 29, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 14*m**2 + 3156*m - 12556. Determine x(34).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f**2 + 5*f + 22. Give k(-3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((124\/(-24) - -5)*-6). Solve p = -13*u + 11*u - 2*j - 8, 8 = -2*u - j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 4 - (-5)\/(-2)*-2. Let g(k) be the first derivative of 4\/15*k**5 - 5\/6*k**6 + 2*k**4 - 3 - 2\/9*k**p - 3\/2*k**2 - 2\/3*k. Solve g(f) = 0.\nAnswer: -1, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-120)*-22 - 12\/24. Let p(v) be the second derivative of v**3\/2 + v**2 + 6*v. Let b be p(-2). Put -0.3, b, q, 0.1 in increasing order.\nAnswer: b, -0.3, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geepgpee. What is prob of picking 1 p and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v**2 - v + 7. Let s be u(6). Suppose -81 = -30*z - 2331. Let o = z + s. What is the remainder when o is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 71*f. Let n(g) = -1287*g**2. What is o(n(s))?\nAnswer: 1656369*s**4 - 91377*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4980 - 5152.94. Round d to the nearest integer.\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82030 is divided by 1189.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1777321473 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(sqrt(1872) + ((-2*sqrt(1872) - sqrt(1872) - sqrt(1872)) + 5)**2 + sqrt(1872)).\nAnswer: -299770 + 4560*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s - 47*s = -6645. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 5, -1, 15 in descending order.\nAnswer: 15, 5, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 v when four letters picked without replacement from {v: 3, u: 11}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 2, y: 1, j: 2, m: 2, d: 5}. Give prob of picking 1 j and 1 d.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 - 0.7. Let x be (3 - -7)*-2 + 1. Which is the third biggest value? (a) t (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26042 divided by -2.\nAnswer: -13021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o**2 - 2*o + 10. Let g(w) = -w + 1. Let l(t) = 2*g(t) - k(t). Differentiate l(x) wrt x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466599 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z**3 + 2*z**2 - 2*z - 1. Let a be r(2). Calculate the highest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 + 6 = 0. List the prime factors of -1*24\/(-1) - q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 5*p + 1. Let x(z) = z**2 - 3*z. Let l be x(4). Suppose -l*o = -0*o - 48. Suppose -f - 4*t = 3*f + o, f = 4*t - 13. Give m(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325314 (base 6) to base 7\nAnswer: -142030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-11)*-11*10\/(840\/78).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c**2 - c. Suppose 3*r + 11 = -r - 5*q, 3*r - 4*q = 15. Let i be d(r). Suppose 0 = 17*m + 1309 - 1275. Are i and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdhodddtph. What is prob of picking 1 o and 2 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6\/54)\/((-2676)\/(-6021))*(-1)\/(-13)\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, i: 5}. What is prob of sequence ir?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2882717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16080 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 50959863.3 to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -27. Suppose 0 = -5*z, -5*j + 2*z + 10 = -b*z. Solve j*c - 2*h - 14 = 0, 2*h + 3*h = -c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66475\/22608 + 4\/1413. Find the common denominator of d and ((-1223)\/(-44) + 49\/(-196))*2\/24.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/73 (b) 2 (c) 2004 (d) -5 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*y - 9085 = -5403 - 25606 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 = 9*q - 530. Let i = -2.9 + 2.9. Which is the second biggest value? (a) -0.6 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 1. Let i be w(0). Let u be i\/(-3)*(-9)\/12. Which is the nearest to 1? (a) 0.4 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*m**3 + 1 + 31*m**3 - 32*m**3 + 0*m**3 - 5*m**3 + 4*m**3 + (-1 + 3 + 0)*(-4*m**3 + 2*m**3 + 0*m**3) + (2*m**2 - 1 + 1)*(0*m + 0*m + 4*m).\nAnswer: -28*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/60 + 6*d**2. Let x(o) = 6*o. Calculate x(y(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**3 + 8*q**2 + 11*q + 2. Let z(j) = j**3 - 12*j**2 + 9*j + 17. Let n be z(11). Let d(m) = 3*m**3 + 5*m**2 + 7*m + 1. What is n*a(v) + 8*d(v)?\nAnswer: -v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + 35*g**2 + 16*g - 11. Suppose -f - 5*k = -13, 2*f + 2*k = 221 - 243. What is p(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 8) to base 13\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -15. Which is the nearest to 1\/4? (a) 0 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 (base 8) in base 2?\nAnswer: 11101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 12*b**2 - 12*b - 52. What is the lowest common multiple of 56 and w(10)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80992?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48371 or -48374?\nAnswer: -48371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 84404554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 - 14*z**2 - 26*z + 10. Determine c(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 16 + 10. Solve -m*j - 2*j = -25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5669 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aavv when four letters picked without replacement from vvaaaaavaaaaaaaaaaaa.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -201, -128, -7, 162, 379, 644?\n\"Answer: 24*a**2 + a - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52299?\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.11 - 26. Let d = i + 1.89. Let p = d + -2.1. Which is greater: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(19) - (sqrt(171)*-3 + sqrt(171)) - (sqrt(19) - (sqrt(1216) + 0))).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {p: 3, w: 1, n: 3, e: 1, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -25*t**3 + 65*t**2 + 40*t - 50. Let u = 54 + -49. Let v(i) = -i**3 + 0*i**3 + u - 4 + i**2. Let l(m) = -d(m) + 30*v(m). Determine x so that l(x) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72452267 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2666944 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5 - 705*l**4 - 72578*l**3 - 850282*l**2 - 2190237*l + 3113803 = 0.\nAnswer: -583, -109, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 19*k - 45. Let u be z(-16). Solve 3*h = -u*i - 3, 3*i + 16 - 1 = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*x - 43 - 1 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 + 8 - 8. Let d(x) be the second derivative of 5*x**3\/3 + 27*x. What is m(d(q))?\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1470 and -59\/249340.\nAnswer: 5236140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72, 146, 220, 294, 368?\n\"Answer: 74*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 + 136. Suppose -v = -9*m - 3*m. Suppose 5*b = -4*n - 20, 2*n + 7 + 3 = -3*b. Solve -p = -x, 2*p + 0*x - 3*x + m = b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1141 - 11427\/10. Find the common denominator of i and -145\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -5*b**3\/6 + 5*b**2\/2 - 11*b + 2. Suppose -4*s = -11*s + 77. Let d(z) = -z + 1. Calculate s*d(l) - 2*n(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5 - 383*m**4\/3 - 2507*m**3\/3 - 5197*m**2\/3 - 3880*m\/3 - 268 = 0?\nAnswer: -3, -2, -1, -1\/3, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 671532.4 litres?\nAnswer: 671532400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 89?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1935 - 1933 - 2*t + 3868.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. Let h(a) = 78750*a. Determine w(h(g)).\nAnswer: 157500*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1456\/140*10\/(-12))\/((-2)\/(-3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-8))\/(-17)*(-13)\/(-2)*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 15 - (4 - 3) - ((-1 - -18) + -47).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 4113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/77 and 26\/2365.\nAnswer: 16555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128956\/1299448 + 34\/(-323).\nAnswer: -1\/166","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -35. Which is smaller: 6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 - 3*s**3 + 0*s**3 + (2*s - 2*s + s)*(2*s**2 - 3*s**2 + 2*s**2).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -812347698?\nAnswer: -812347693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5\/4, 2.1, -3, -3\/157, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -10. Let p = 4787 - 4791. Let i(a) = -6*a**3 - 4*a + 2. Let g(x) = 5*x**3 + 3*x - 1. Determine l*i(t) + p*g(t).\nAnswer: -2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71810707.\nAnswer: 53, 547, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111 - -4) + 0 - (-2 - 4)) + -12.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3423.\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/((-842)\/(-16840))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(1 + (-129)\/120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = 360 + 96. Suppose p = -2*b + 30, 5*b + p - 93 = -15. Suppose -4*s + 82 = -2*z + b, -3*s = 3*z + 126. Is z greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-15 - -11 - (2 - 3)). Let h = -108\/533 + 2\/41. What is the closest to g in h, -7, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5*(1 + sqrt(98)) - ((sqrt(98) + -2)*-4 - sqrt(98)))*2)**2 + 5.\nAnswer: 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 15*d - 16*d. Calculate the remainder when (-2)\/8*d - 34\/(-4) is divided by -10*(-2)\/4*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - i - 2. Let z be r(6). Is (1\/2)\/(2\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 11 = -8*h - 5*m, 0 = 2*h - 3*m - 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/(-1309)*5\/10?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 19 = -99. Suppose d + 5 = 3*u. Let a(c) = 4*c + 2. What is the least common multiple of a(u) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -2 + 0*z + z**3 - 1\/6*z**6 + 0*z**2 + 0*z**5 + 0*z**4. Find the third derivative of g(c) wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 4*c - 1. Suppose -3*b + 17 = 2*r, 0 = -0*r + 2*r - 5*b + 7. Let h = -181 + 197. What is the remainder when f(r) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-63)*105\/(-3080)*8?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -370 + 551. Suppose -4*z = -5*t + p, 3*z + 2*z - 116 = -3*t. Calculate the remainder when t is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aec + -b93d?\nAnswer: -c429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171 divided by 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1 + sqrt(363))*2 + ((sqrt(363) - (sqrt(363) + 0))*5 - sqrt(363) - sqrt(363)) + sqrt(363))**2*-5.\nAnswer: -1839 - 220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**3\/3 + 97. Let i(l) = 1. Let c = -136 + 137. Calculate c*i(v) + 3*o(v).\nAnswer: 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -2 + -2 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2 and 55\/159?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.717509 rounded to two decimal places?\nAnswer: -90.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21365 is divided by 64.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t. Let o(v) = 374*v**2. Calculate o(q(m)).\nAnswer: 1496*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -400.38209 minus 105?\nAnswer: -505.38209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 5:58 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.3 - 2.3. Let x = 0.05 + 0.25. What is the closest to 0.2 in o, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2703932 + -36?\nAnswer: 2703896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1811 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -10 (c) -1 (d) -58\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b + 310. Give g(35).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/(q*q**(4\/7)*q))\/((q*q*q*q**6)\/q**(-6))*(q*q\/(q**0*q)*q*q)**(1\/3)\/(q**(-1)*q\/((q\/q**(-2\/7))\/q)) assuming q is positive.\nAnswer: q**(-349\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 1\/2*l**2 + 0*l**3 - 1\/72*l**4 - 1 + 0*l - 1\/90*l**5. Let v(w) be the second derivative of r(w). Factor v(q).\nAnswer: -q*(2*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*i + 226, 73*x - 72*x - 116 = 3*i. Solve -x = 12*u - 47 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4882931, -4882932, -4882933, -4882934, -4882935?\n\"Answer: -n - 4882930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5025)\/(-60) - 2\/16*2. Let p = j + -80. Factor 0 + p*h**2 + h + 3\/2*h**3.\nAnswer: h*(h + 2)*(3*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6403*r**2 + 14254*r wrt r.\nAnswer: -12806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let t = y - 1. Factor -g + g**2 + 1 - t.\nAnswer: g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 5*x - 2*x - 115 + 105 to the form z + w*x and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-123)\/(-2829))\/((-12)\/(-46)))\/(26\/(-18))\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -215?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 584084261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 10*g**2 + 4*g**2)*(4 + 21 + 8).\nAnswer: 396*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2518756?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1579730277.\nAnswer: 3, 263, 401, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 4, g: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430540 and 110210.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*k - 11*u, -5*u + 3327 = 4*k + 3328 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615133949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from wwwjbbwbwvl?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -7. Suppose x + 4*a = s, 2*x + a + a = 22. Suppose -26 - x = -b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*u - 5 = 0, -3*u + 0*u - 15 = 0. Put -8, -5, y, -1 in increasing order.\nAnswer: -8, -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134666132 divided by 2\nAnswer: -67333066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -128691684 by -22.\nAnswer: 5849622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18143 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: Evaluate -3 + -1 + (11 - 24 - -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 225 + -223. What is the third derivative of 219*c**b + 16*c**5 - 7*c**5 + 39*c**5 + 34*c**5 wrt c?\nAnswer: 4920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 4, i: 1, n: 5}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -11*t**2. Let v(g) be the first derivative of g**3 + 61. Determine m(v(n)).\nAnswer: -99*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-7) + (-8)\/14. Let f be (m - 1)\/(3 + -2). Suppose f*n + x = n - 3, -2*n + 9 = x. What is the greatest common factor of n and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - 13?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199 - 72 + 78 - 21 + 177 + 131)*(5*d + 5*d**2 - 5*d).\nAnswer: 2460*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:13 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 13*u**3\/6 + 11*u**2\/2 - 1357*u. Let c(t) = t + 1. Calculate -22*c(g) + 2*k(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 6*r - 23*r + 9*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 16, 3*q + 26 = 5*n - 3*n. Let l be 62*(453\/n - (-8)\/28). Suppose 4*r - 1078 = l. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**4\/4 - 8*b**3\/3 + 7*b**2 + 3*b - 34. Let t be m(6). Suppose t*r - 9 = 6. Solve -r - 9 = -5*s, o + 5*s - 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(9\/21)*-1*-1. Suppose 391 = p*h + 370. Solve h*n + n - 23 = 3*g, -2*g = -4*n + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -173031 and -173030 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1 + q**2 - 5*q**2 + 5*q**2 + 0. Suppose -3*a + 3 = -6. Let z(w) = -2*w**2 + 2. Determine a*b(o) + z(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, -2, 6, -0.1, -4, 2.4, 0.5 in descending order.\nAnswer: 73, 6, 2.4, 0.5, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**3 + 8*s**2 - 2*s.\nAnswer: -2*s*(s - 1)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-13\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 510769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pud when three letters picked without replacement from pxdppxxdupxxxx?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 9 = 20*l. Suppose -l*n = 2*o - 10, -5*n + 3*o + 2 = 1. What is the remainder when 21 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28778, 28799, 28848, 28925, 29030, 29163, 29324?\n\"Answer: 14*m**2 - 21*m + 28785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20947 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2\/5, -1, -391, 0.2 in decreasing order.\nAnswer: 2\/5, 0.2, -1\/4, -1, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 17 - 125*g - 17 + 59 - 8.\nAnswer: -125*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1004 + 2017\/2. Let n = 389\/2 - 193. Factor 6*d + w + n*d**2.\nAnswer: 3*(d + 1)*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4401*z + 1084*z + 1165*z + 1074*z - 304*z**3 + 1078*z.\nAnswer: -304*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)\/m*m\/(m\/(m*m**6))*m**1*m*m\/(m*m\/(m\/(m*(m\/m**(-3\/5))\/m*m)))*(m**1)**(1\/12)*(m*m\/m**(2\/7)*m)\/(m*m*m\/(m\/m**(-1\/2))*m) assuming m is positive.\nAnswer: m**(1249\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1503540 - 1?\nAnswer: -1503541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.70654789 rounded to 2 dps?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiitittti. Give prob of sequence titi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -15*g + 281. Calculate m(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27630, -55317, -83016, -110727?\n\"Answer: -6*b**2 - 27669*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 3*g + 4*g)*(-14 + 26 - 14 + 34*g)*(-3 + 2 + 4) as c + i*g + a*g**2 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 24 = 3*k - 3, 3*d - 17 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56531.\nAnswer: 56531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 4*g**2 - g**2)*(3*g**2 - 17*g + 17*g)*(-3 + 1 + 1)*(-18 - 7 + 3).\nAnswer: -66*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + 3 + -1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 66*s - 9*s**2 + 66*s - 7*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 431 or 48996?\nAnswer: 48996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191595 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 402800*p - 402807*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((-8)\/20 + 6106\/15340). Let o = s - -779. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**6\/45 - g**5\/10 - g**4\/9 + 4*g**3\/3 - 8*g**2\/3 + 32*g. Factor c(s).\nAnswer: 2*(s - 2)**2*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*a + 14652 = -201*a. What is the greatest common divisor of 33 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -52. Suppose -k + 7 = j. Let z = 200 - 197. Solve d + 2 = 3*r + j, -3*r - 3 = -z*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -293*m**4 + 13*m**2 - 11*m**3 + 0*m**3 + 2 + 278*m**4 + 11*m = 0.\nAnswer: -1, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 2874.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 8*u**2 - 8*u + 7. Let n be 23\/1 - (-2 + 4). Suppose 3*k - 6*k = -n. Let w be z(k). Sort 2, -5, w in descending order.\nAnswer: 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v. Suppose 0 = -6*w + 16 - 4. Solve v*u + w = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -17)*(-5)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*p - 18 = r, -5*r = 3*p + 36. Let l(i) = -7*i - 4. Let k(n) = n. Let a(f) = 2*k(f) + l(f). Let o(d) = d. Let b(g) = r*o(g) - a(g). Calculate b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 781.\nAnswer: 78.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*g - 709*g - 564*g + 4 + 2*g - 4 + (3*g + g - 5*g)*(0 + 3 - 5) + g + 0*g + 0*g + 2*g - 4 + 4)*(1 + 2 + 2).\nAnswer: -6915*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -263, -4, 389, 2 in decreasing order.\nAnswer: 389, 2, -3, -4, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -2\/3*r**3 + 0 + 0*r**2 - 6*r. Let f(k) = -k**2. What is f(h(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6571 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -219*d**2 - 2*d - 1. Let v be j(-1). Calculate the common denominator of v\/(-30)*21\/14 and -29\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -88*j**7\/35 - 63*j**3 + 232*j**2 - 2. What is the first derivative of f(r) wrt r?\nAnswer: -2112*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18373636*x**5 + x + 40804651?\nAnswer: -367472720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 14*s - 28 = -0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 189240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 221 - 3756\/17. Is c at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 7\/3*m**3 + 5*m + 40 + 2*m**2. Let b(h) = -6*h**2 - 3*h - 4. Give -5*b(z) - 4*o(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*j + 99*j = 356. Let b(u) = u**3 - 3*u**2 - 2*u - 6. Let a be b(6). Do j and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 7:45 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 309*y. Let u(q) = -345*q**2 - 6*q - 6. Let i(m) = 59*m**2 + m + 1. Let a(g) = -6*i(g) - u(g). Determine z(a(p)).\nAnswer: -2781*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 7:44 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4470, 4486, 4516, 4566, 4642, 4750, 4896?\n\"Answer: b**3 + b**2 + 6*b + 4462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2 = -3*d - 7, 2*d = 7*i + 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145074501 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92902749 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 20708*w\/9 + 423640\/9.\nAnswer: -4*(w + 595)*(9*w - 178)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4352024913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -90, -136, -190, -258?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 2:20 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 36620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = 5*j, 0*d - d + 1 = j. Let z(k) = -k**2 + 2*k + 6. Let i be z(5). Let m = -5 - i. Solve -25 = 5*o + d*t, -4 = -o + m*o - t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38073 (base 13) to base 15\nAnswer: 20953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/((-8)\/(-32)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56.68 and 95.74?\nAnswer: -5426.5432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 3*f**2 - 5*f. Let h be y(-4). Let r be (h\/14)\/((-4)\/(-28)). Factor -2*q**4 + 4*q**3 + 4*q - 6*q**2 - 4*q + 4*q**r.\nAnswer: -2*q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 2. Let m = -7 - -4. Suppose -25*y = -28*y + 42. What is the remainder when y is divided by a(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 6*m - 13. Determine v(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Let c(o) = 7 - 2*o**m - 7. Let v(x) = 4*x. Determine c(v(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 6*o**2 + 4*o + 4. Suppose -4*l + g + 1 - 4 = 0, 4*l - 4*g = -12. Let s = l - 5. What is the units digit of n(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 165375*c**2 - 1260*c + 12\/5 = 0.\nAnswer: 2\/525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 586916 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.425 + 3.425. Sort 1, v, 9\/17.\nAnswer: 9\/17, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0708*40.\nAnswer: -2.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -188 + -7?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*x**4\/17 + 38752*x**3\/17 - 1393442*x**2\/17 - 350178*x\/17 - 21924\/17 = 0 for x.\nAnswer: -1\/8, 42, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19342 - 13163*a - 17272*a + 19342.\nAnswer: -30435*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 95. Is ((-323)\/a)\/((-39)\/117) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -52 - 11*y + 17*y - 15*y + 4. Let r be z(-5). Which is the fourth smallest value? (a) 0 (b) r (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -7*k**5\/5 - k**4\/12 - k**3\/6 + k. Let y be t(-1). What are the prime factors of y\/6*75\/10?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -60*u - 2. Let t be x(-1). Let m = 133 + t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (15 + (4 - 6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 396*g - 793*g + 14 = -396*g, 0 = -2*t - 5*g + 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x - 2. Let f(t) = t**2 + 74*t + 834. Let d be f(-14). Let g(w) = -26*w + 6. Determine d*g(y) - 17*q(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 15*t - 164. Calculate q(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 2*k**2 - 3*k + 2. Suppose u = -2*u, 5*u - 9 = 3*d. Let y be x(d). Let m = 3 - 2. Which is bigger: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 40. Let x(j) = -4*j**2 + 4 - 4*j**3 - 3*j**2 + 3*j**i + 3*j**3. Let v be (3 - (3 - 2)) + -6. Give x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from yxyyyyyyyxy?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245405003 + 4?\nAnswer: -245404555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 6. Determine q(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9.66 (b) -2\/5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2977797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212825?\nAnswer: 3, 5, 103, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.999 - -0.001. What is the fourth smallest value in 0.5, j, 0.1, 0.05?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10569 = -5*q, 6*h - 3*h + q - 7924 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 103878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027470480813 rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1897 + 46*w**2 - 611*w**2 + w + 1903 in the form r*w**2 + k*w + g and give r.\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - -5 - -11 - -11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -7. Let n = 0 - w. Do 0.1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -35. Let q be (z + 3)\/(1 + 1). Let a be 28 + q\/((16\/(-12))\/(-4)). Solve -i + 5*d + 20 = -2*i, -a = -4*i + d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*5 - 0?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 5273.\nAnswer: -5, -4, 5273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 13*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -3 + 3 - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9622229ng in kilograms?\nAnswer: 0.0000000000009622229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**5 + 6943583*d**4 + 28612*d**2 + 16*d - 3.\nAnswer: 540*d**2 + 166645992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -2) + 2 + 1. Factor -2*j**3 + 9*j**2 + 6*j**2 - 14*j - m*j**3 + 4*j.\nAnswer: -5*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.4. Let l be (-2 - 150\/(-80))*-8. Let f be ((-2)\/(-36))\/((-1)\/4). What is the nearest to f in l, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, d: 4}. What is prob of picking 4 d?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((4 + -4)*3\/(-3))\/(-2). Does 3 divide f + 57 + (-9)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10464.4 and -0.2827?\nAnswer: -2958.28588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 78183, 78179, 78175, 78171, 78167, 78163?\n\"Answer: -4*x + 78187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cd (base 15) to base 2.\nAnswer: -1010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 8*r**2 - 12*r - 13. Let c be k(-9). Let h = c - 1. What is the remainder when 38 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*g + 142, 3*b + 2*g = 2*b + 38. Let q be 4 + b\/(-1 + -3). Let f = 139\/5 + -28. What is the second smallest value in q, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c - 0. Let k be 2*(3*6 - c). Let w = 69 - k. Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/11 + 58*b**3\/11 - 138*b**2\/11 - 442*b\/11 - 248\/11 = 0.\nAnswer: -31, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-18) - (-2)\/(-6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + -5 + 11 - (-1 - -6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/2*195\/3250. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-65)\/(-10)))\/(10\/(-4))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -14. Let s(t) = 7 - t**f - 10*t**2 + 9 + 8*t + 3*t. What is the tens digit of s(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 943881372225*c**2 + 0 + 0 - 2*c**3 - 943881372225*c**2 + 0.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4985\/3 greater than -1663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 9.0072. What is c rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h**(2\/21)*h)\/h)\/h))\/(h*h**(2\/9))*(h**(2\/9)\/h)\/(h*h\/(h**(-2\/13)*h)))**23 assuming h is positive.\nAnswer: h**(-14122\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15618770?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 5453?\nAnswer: 27265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -1\/2, 5, -2\/7, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:37 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/125, -2, 67, 0.3, -4 in increasing order.\nAnswer: -4, -2, 2\/125, 0.3, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 1\/29 (c) -5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**3 - 1947*i**2 - 2710*i + 2340. Determine b(-388).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*(-20)\/(-360)*18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 53*t - 72. What is the remainder when s(3) is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -402.6 - -402.1. Let x = -3 - 1. Which is the closest to -10? (a) x (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) - (sqrt(1539) + (sqrt(1539) - 3*((-2 + sqrt(1539) - sqrt(1539)) + sqrt(1539))))) + sqrt(1539))**2 + 5 - (-1*sqrt(1539)*1 + -5).\nAnswer: -315*sqrt(19) + 13897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34221 is divided by 100.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let t(o) be the first derivative of -6*o**2 - 6 + 6*o**2 - 13 - o**3. Give q(t(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyf when three letters picked without replacement from {y: 2, k: 8, f: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**3 - j + j)*(-j - j + j + (1 + 2 - 5)*(3*j - 3*j + j) + 2*j + 0*j - 4*j - 4 + j + 4 - 6 + 6 - 3*j).\nAnswer: 42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*n + 0 - 2 + 2 as q*n + v and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -22?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 17796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 113*h - 432. Calculate j(5).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 26*c + 86. Let g(p) = 5*p + 17. What is 16*g(y) - 3*k(y)?\nAnswer: 2*y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 805664?\nAnswer: 805666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/7 + 139812*k\/7 - 56181827\/7.\nAnswer: -(k - 139409)*(k - 403)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/(-6) + (-8)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -131. Suppose 4*q - m - 215 = 0. Suppose -5*b + q = -2*k, 2*b + 3 - 15 = -2*k. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2372*z - 22776. What is p(-9)?\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20074986247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -23. Suppose 46 = y*t - 92. Suppose 4*p - 25 = -4*h + 7*p, 5*h - p - t = 0. Which is bigger: h or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 20\/7351?\nAnswer: 20\/7351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 587087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 = 0, 3*c - 7 = -t - 0*c. List the prime factors of (-450)\/20*(-56)\/t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 5. Suppose -4*h = 4*i + 24, -3*i - h = -i + 13. Let k(g) = -5*g + 16. Let b(n) = i*j(n) - 2*k(n). What is the tens digit of b(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/6*224\/(-10). Suppose -v*x + 54*x + 554 = 0. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-44)*12\/9. Suppose -406 = -11*a - 417. Let f be (6\/(-15))\/(a*(-2)\/10). What is the second biggest value in f, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154413.\nAnswer: 13, 88801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -8.908.\nAnswer: -12.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -82. Let g = 19 + p. Suppose -3*q + 2*q - 3*c = 5, -2*q + 2 = 2*c. Solve 0 - q = g*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 407 + -404. Solve -1 + 5 = -o*y - 4*d, -2*y - 1 = d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -91 (b) 0.4 (c) -3\/8 (d) -11 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k - 5. Let i(p) = -2*p - 4. Determine -6*i(v) + 5*o(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 507 + -489. Let n = 12 - 18. Let a = n + l. Solve u + a = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 + 3*m - 1. Let y be o(3). Let t be (4\/(-25))\/(4\/(-10)). Let p = 0.05 - 0.35. What is the closest to 2\/5 in p, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 11. Let j be w(10). Let h = 11 + j. Find the second derivative of 6*q**2 - 4*q + 0*q**2 - 5*q**h wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 3*g**2 - g**2 - g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 4 - 4 + (13*t - 12*t - 4*t)*(4 - 3 + 1) to the form w + s*t and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1 + 11*u + u - 11*u + 5. Determine g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - ((-9 - -10) + 9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 50. Suppose -2*x + 3*s + g = 2, 0 = -x - 5*s + 12. Suppose 5*z**3 - 11*z - 12*z**2 + 23*z - x*z**3 = 0. What is z?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 9274230?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1624390 - -961990. Round s to the nearest 10000.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20365 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**2 + 488*w**6 + 2*w**2 - 498*w**6 wrt w.\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*h**4 - 40*h**2 + 28*h**2 - 6*h**3 - 2 - 28*h**4 - 31*h**2 wrt h.\nAnswer: -72*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 - 13591212*p**2 - 11545072022412*p - 11545058431204 = 0 for p.\nAnswer: -1698901, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -11. Let h = l + 3. Let v = 4\/101 + -222\/505. What is the nearest to v in h, 0, 1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 + 35*b + 81.\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674 - 650 = 3*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o*v**2 - 10159*o + 1109*v**2 wrt v.\nAnswer: -4*o*v + 2218*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 1809 = 89*l. Let w(j) = j**3 - j**2 - 6*j - 1. Calculate the remainder when w(5) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f - 1 + 13*f**2 - 8*f**2 + f**3 + 4*f**2. What is the remainder when 78 is divided by c(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 250\/8469 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10110000001001010 (base 2) to base 11\nAnswer: 61838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 16 + 9 - 6 = -2*g, 0 = 2*f - 2*g - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2378207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*v**4 - 91717*v**2 - 271239711 with respect to v.\nAnswer: -316*v**3 - 183434*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/5*(-85)\/(-2). Let b(h) = -h**2 + 7*h + 2. Let x(g) = -g - 2. Let a(t) = b(t) + 3*x(t). Let p(q) = 6*q**2 - 23*q + 23. Determine k*a(l) - 6*p(l).\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5470 is divided by 211?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 19*h**2 + 19*h + 15. Let n be g(18). What is the highest common divisor of 22 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 5*q**2 - 2*q - 5. Let w be m(-5). Solve 6 = -4*z - 4*r - 6, w*r + 6 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/93)\/((-2)\/8))\/(9*44\/(-594))?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffdd. Give prob of sequence dd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/68*24*2\/(-8)*(-8)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/460)\/(21\/714). Let c = h - -32\/23. What is the second smallest value in 0.3, 0, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -13.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42\/13*n**2 + 18\/13*n**3 + 38\/13*n - 2\/13*n**4 - 12\/13.\nAnswer: -2*(n - 6)*(n - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(2*3\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/18*(-243)\/6. Let f = -23 + d. Solve 0 = f*a - a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*b - 30*b + 66*b - 1)*(6*b + 0*b + 5*b).\nAnswer: 66*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-20 + 22 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1916083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -359 + 367. Let t(s) = -2*s + 19. Let h be t(10). Let a be -2*9\/6*h. Solve -15 = u*b - a*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*o = -45, -3*d + 40 - 5 = 5*o. Let f be 336*5*(-75)\/d. Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.26, 5, 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 600, 4719, 15904, 37689, 73608, 127195, 201984?\nAnswer: 301509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1028642*t**3 - 2*t**2 + 100*t - 12814?\nAnswer: 6171852*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70399 and 22517?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 12*f. Let q(b) = 413575*b + 1. Calculate q(m(l)).\nAnswer: 413575*l**2 + 4962900*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.95 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132\/22917931 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-105)\/200 - (520\/(-64) - -8). What is the third smallest value in 2\/15, -2\/3, r, 31?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60714 + 60714 - 9*b**2 - 4*b**2 + 3*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1301302 - 1?\nAnswer: 1301301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 241*w - 12540. Determine y(51).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21616.\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*c**2*f*h + 16*c**2*f + 2*c**2*h*z + 24*c**2*z + 2*c*f*h*z - 20*h wrt f?\nAnswer: -69*c**2*h + 16*c**2 + 2*c*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 500, 910, 1520, 2324, 3316, 4490?\n\"Answer: -x**3 + 106*x**2 + 99*x + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/3 + 4*r - 1. Let s be k(0). Let h(n) = -3*n + n**2 + n**3 - 6*n**2 + 9*n - 5. What is h(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/5 + 16*f**3\/5 + 14*f**2\/5 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*g - 961 + 1026 = 0, -5*k + 34 = -3*g. What is the nearest to k in -2\/7, -11.8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 1. Suppose -3*u = -p, -4*q + 7*q - 8 = 2*u. Let k(n) = n + 1. Is k(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -14 - (0 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19019 or -19061?\nAnswer: -19061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/965 or -10.5?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p**3 + 7*p**2 + 5*p + 5. Let f be 4*(-2)\/(-3)*(-12)\/(-8) - -4. Let d(z) = 15*z**3 - 11*z**2 - 8*z - 8. Give f*t(b) + 5*d(b).\nAnswer: -5*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1063689 and 56375517?\nAnswer: 56375517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -410 + 597. Calculate the smallest common multiple of k and 204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 17, 6, -4, 687 in increasing order.\nAnswer: -4, 6, 7, 17, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 7 + 85. Suppose 4 = 9*p - m. What is the units digit of 3\/6*534\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120302 (base 4) to base 14.\nAnswer: -37c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 w, 1 k, and 1 u when four letters picked without replacement from wfewkzu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20022274361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - -1)\/(-1 + (2 - 3)). What are the prime factors of ((-2)\/(-14) - 1)\/(w\/(-357))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2741 + -2524. Do k and 215 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4083619.\nAnswer: 4083619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = 520 - 454 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 68, 673, 2322, 5537, 10840, 18753, 29798?\n\"Answer: 87*x**3 - 4*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (-39 - -91) + -66?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t = 15. Suppose 7*u = t*u + 96. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 15*b**2 + 3019*b + 9726. Give k(-198).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Let p(g) = -2*g + 42. Let b be p(19). Differentiate 2 + r**b + 0*r**c + 2*r**4 wrt r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p - 23*p + 22*p - 1037 = 0 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000101 (base 2) in base 10?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 444253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 314065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123399496?\nAnswer: 2, 11, 1402267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1131 + 104?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 7*y**2 + 36*y - 262. What is p(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -723 - -3*((-6)\/9 + 0). Let q = -483 - o. Let l = -135 + q. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 85920*p**2 - 612255516*p + 42031612464.\nAnswer: -3*(p - 68)*(p + 14354)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 6, -2\/59 in ascending order.\nAnswer: -2\/59, 2\/23, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -189987.194 and -1006.\nAnswer: -190993.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, 0, -3 in descending order.\nAnswer: 17, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**2 - 123*s - 63. Let r be y(32). Solve -87 = 2*k - r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 - 54*l - 8. Let p(z) = -2*z**3 + 55*z + 6. Give -3*o(b) - 4*p(b).\nAnswer: -b**3 - 58*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 487?\nAnswer: -1461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 199200\/11 (c) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/7)\/(-1))\/(7590\/(-21252)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15632\/51 + 119407\/102. Let v = m + -1485. Calculate the common denominator of v and -93\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1 + (2 + 15 + 8)*(-2 + 3 - 2) + 4 - 1 - 2)*(c + 4*c - 2*c) - 4 + 4 - c)*(6 - 5 - 3) - 2 - c + 2.\nAnswer: 151*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425 and 12410.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 6 + 1. Let s be -2 - (p + 0 + 6399997). Round s to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*sqrt(156)\/(sqrt(12) + (sqrt(12) - -3*sqrt(12) - sqrt(12))).\nAnswer: -3*sqrt(13)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 2*o - 2 - 2*o + (-4 + 1 + 2)*(3*o + 89 - 89) to the form x + y*o and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**7\/105 - 7*c**5\/30 - 9*c**2\/2 + 2. Let z(h) be the second derivative of r(h). Find the third derivative of z(w) wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2033778 and 9420.\nAnswer: 20337780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 18*k - 29. Let t be l(-16). Solve t*g + 4 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210012.54 rounded to the nearest one hundred?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -26*r**3 + 1. Let f be 0\/11 - (-1 + 0). What is c(f)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 3011*l - 20 + 3010*l - 6025*l to z + f*l**2 + n*l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4566 + -3530. What is the greatest common factor of 2220 and a?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s, 5*q + 5*s = 17030. Let d = -20375\/6 + q. Calculate the common denominator of -121\/6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**7\/840 + 2*r**6\/45 + 3*r**5\/20 - r**4 - 5*r**3\/6 + 27*r. Let x(q) be the second derivative of b(q). Is x(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2. Let r(j) be the first derivative of -162*j**3 - 40 + 161*j**3 + 8. What is v(r(h))?\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 19 = 44 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5586 * -28.\nAnswer: 156408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1)*(141 + -138).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 2. Let s be v(-2). Let f(d) = 110413*d + 10*d**3 - 110413*d - 3*d**2 + 1. Calculate the remainder when f(s) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 10*w - 9. Let i be t(7). Solve 2*a + i = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 6 + 2*c**3 + 1 + 10 in the form i*c**2 + w*c + t*c**3 + v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6337 = -2*x - 3*c, -15 = -13*c + 16*c. List the prime factors of x.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/9))**47 assuming m is positive.\nAnswer: m**(235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5676 + -5676.3. Which is the closest to -1\/5? (a) -2\/5 (b) -7 (c) -2\/17 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34.4 and -0.61?\nAnswer: 20.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/240 and -163\/90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 43. Let w be l(22). Let g = -66 - w. What is the least common multiple of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 222.8 + -0.4.\nAnswer: 222.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/41 - 35\/82. Let u = 5\/12 + -3\/4. Is u not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t**2 + 16*t + 9. Let v be k(3). Let x be ((-2)\/(-1))\/14 + (-2)\/(-14). Let a be (0 - (-3)\/(-2))\/(-6). What is the nearest to a in v, 1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Let l(r) = -1 + 0 - h*r + 2 + 4 - r**2. Let n be l(-5). Is n at least as big as 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4632 divided by -7.\nAnswer: 4632\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1428 - -1440. Solve -4*i + 4 = 3*y - 10, 2*y + 4*i - a = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - p + 3. Let i be l(2). Which is the biggest value? (a) i (b) -4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 4*t - 13)*(-152*t - 132 - 100 - 148 + 146*t - 99).\nAnswer: 24*t**2 + 1916*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 - 177. Solve 6 + g = 6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {g: 1, x: 2, r: 2, h: 1, p: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2987938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13914*o**3 + 3*o**2 - 52044 wrt o?\nAnswer: 41742*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/(-1824)*(-12)\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/38 + (-78)\/6*1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-5 - (-8 + -2)). Let g be (p - -1)\/(-8) + (-26)\/(-2). Let q(h) = 3*h + 2. Let y be q(2). What is the highest common factor of g and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110011 (base 2) in base 8?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7983 is divided by 733.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbblbb. What is prob of picking 2 b?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131.5 + -131. Which is the nearest to 9? (a) 0.3 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9 = 7. Suppose 2*j + 3*l = 254, -c*j + 526 = 2*l - 5*l. Find the second derivative of 116*s**5 - j*s**5 - 2*s + 11*s wrt s.\nAnswer: -280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/6 and 29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (6 + 8) - ((-17 - 2) + 15).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367524377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11)\/15 + (-6)\/(-18). What is the nearest to -0.3 in d, 5, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - r)*(383*r**2 - 678*r**2 + 348*r**2).\nAnswer: -53*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgbeebblllelbeelll. Give prob of sequence eeb.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 8*x - 18. Let a be l(-7). Let q be 5\/1*(-4)\/(-5). Suppose -q*y + a = v, -v - y = -15 - 12. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (675\/125)\/(-3*1\/(-10)). What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 - 3*u**2 + 5*u**2)*(-2*u - u**2 + 2*u) - u**4 - u**4 + 3*u**4 + 4298*u**4 + 19*u**2 - 4286*u**4 - u**2.\nAnswer: 15*u**4 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-700)\/(-15)*(-12)\/(-10). Let r = -46 + 48. Let h = 9 - r. What is the greatest common factor of t and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097914 to the power of 1\/2, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1980)*1 - 4*(sqrt(1980)*2 - sqrt(1980)))\/(sqrt(11)*3*-1 - sqrt(99)\/(sqrt(18)\/sqrt(2))))**2.\nAnswer: 2205\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 14, -0.1, 6\/11, -14 in ascending order.\nAnswer: -14, -1\/4, -0.1, 6\/11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21603499, -43207003, -64810507?\n\"Answer: -21603504*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2025 = -26*s + 11*s. Let m = s + 138. Suppose 4*f - x = x + 3144, -3154 = -4*f - m*x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:06 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - -11. Are f and 98 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 780778337, 780778336, 780778335, 780778334, 780778333?\nAnswer: 780778332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 55, -1\/4, -17?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42311 or -42309?\nAnswer: -42311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 25*d**3 - d**4 + 30*d**3 - 3*d - 3 + 3 + 0 to r*d**2 + v*d + x + s*d**4 + w*d**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 122760 divided by -93?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4*k**(-2\/7))\/((k*k**(-1))\/k)**25)\/((k**(-2\/7))**50\/(k**(-4\/3)\/((k*k**(-2\/15))\/k))) assuming k is positive.\nAnswer: k**(209\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2504989*k**2 - 1252482*k**2 - 1252500*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 7*z - 9. What is c(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5)*(-30)\/12)\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 6, n: 3, g: 3}. Give prob of picking 1 l and 2 s.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245245313 to the power of 1\/3, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -28*k - 52. Let i be o(-2). Let t(q) be the first derivative of -i*q**2 + 9*q**4 + 0*q + 19 - 28\/3*q**3. Solve t(z) = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 2*p**2 + 2. Let d(h) = h**2 + h - 1. What is -4*d(k) - 2*i(k)?\nAnswer: 4*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -45*p**2 + 3*p - 4. Let i(a) = a**2 - a + 1. Let o be ((-2)\/(-30) + 10\/(-25))*3. Let q(j) = o*g(j) - 3*i(j). List the prime factors of q(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from xyyryayyxyzx?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*j - 5, -2*j + 4*r + 20 + 10 = 0. What is the remainder when 7 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*o - 7 - 8, -2*o = f + 6. Let s(t) = t**2 - 5*t - 3. Is 21 a factor of s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 127, -2\/67, 0 in decreasing order.\nAnswer: 127, 0, -2\/67, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 16*i + 21. Let p be v(-9). What is the closest to -0.1 in 4, p, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 101*o**2 + 358*o + 6376. Calculate w(-98).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 48 = -5*q. Suppose 3*n - 32 - 4 = 0. Let w = q - n. Solve 3*d - 5*r + 10 = -10*r, w = 2*d + 3*r + 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 of a millimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -0.35*-4427\nAnswer: 1549.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8075*o = 4*q - 8080*o + 231, 2*q + 233 = 5*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 388 + -390. What is the smallest value in 1\/10, z, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(3*(sqrt(10) - -2*sqrt(10))))\/(-5*(-1*sqrt(192) - sqrt(192))).\nAnswer: sqrt(5)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 8*f + 2. Give p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 x, 1 q, and 1 i when four letters picked without replacement from {q: 2, x: 2, i: 1, o: 6}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21614, 20813, 20018, 19223, 18422?\nAnswer: 17609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 6. Let x = t - 6. Let s = 3 - 3. Is s at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198382*h - 595712*h + 198958*h + 198382*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + o - 1. Let y(j) = j**3 - 7*j**2 - j - 3. Let h(f) = 2*u(f) - y(f). Determine h(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -78417.\nAnswer: 4\/78417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (92 - 17 - 32)*(-h - 3*h + 2*h)*(2*h**2 - 2*h**2 + 16 + h**2) in the form v*h**2 + j*h + z*h**3 + m and give z.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12*40\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-6) - (-2356)\/(-285))\/10 and 51\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4250 + -2?\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1993683.5983 - -1992147. Let t = b + 1546.49. Let u = 9.9 - t. Round u to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91903 * 0.4\nAnswer: -36761.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + (-1 - 5) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20263587 by -3.\nAnswer: 6754529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*(9 + 59 + -16 + 10).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32581 and -963005.\nAnswer: -995586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.18 - -0.82. Sort -4, p, 4, -1\/10.\nAnswer: -4, -1\/10, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 151, 169, 187, 205, 223?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + v + 2 = 3, 3*v = 2*x - 17. Suppose 2*g - x = 18. Calculate the highest common factor of 88 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -117241? (a) -3 (b) -4\/5 (c) 1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 18 = 4*g. Suppose 11*m = g*m + 20. What is the second derivative of 27*c**4 - 26*c - 11*c**m + 9*c**4 wrt c?\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 91*p**6\/120 + p**5\/60 - p**3\/6 - 215*p**2. Let m = 3 + -2. List the prime factors of g(m).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 19098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 25. What is the third derivative of 17*j**2 - 12*j**s + 25*j**3 - 13*j**3 + 55*j**4 wrt j?\nAnswer: 1320*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a + 1. Let f be s(-2). Let u(v) be the first derivative of v**3\/3 + 7*v**2\/2 - 3*v + 2. Let t be u(f). Put 4, t, -1 in descending order.\nAnswer: 4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + (-477)\/(-70) + (-16)\/(-56) and (-2)\/(-8) + (-2)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/5*t + 4\/5*t**2 + 0 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z)**16*z**(-5)\/z*z*z\/(z*z**(-2\/17)\/z) assuming z is positive.\nAnswer: z**(206\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/869 and 37\/948.\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*p + 2173 = -61*p - 67*p for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 881502551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*u - 6*u + 4*m - 60, -4*u - 4*m + 48 = -24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 + 3*o**2 + 560*o - 140*o.\nAnswer: 3*o**2 + 420*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/11, -9432, -5, 22?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/11)\/m)\/(m*m*m\/(m**(-5\/3)*m*m)))\/(m**0*m\/(m\/m**(-2\/3))) assuming m is positive.\nAnswer: m**(-35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 plus 3909?\nAnswer: 3910.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 81*a + 564. Calculate q(-6).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 1, j: 3}. What is prob of sequence uqj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 7*c - 7. Let x be i(4). Let q = -1 - x. What is the lowest common multiple of q and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(54))**2 + sqrt(32)*-3.\nAnswer: -12*sqrt(2) + 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10)\/i**(5\/7)*(i**10\/i*i)\/(i\/i**(1\/3)*i) assuming i is positive.\nAnswer: i**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38732.0130696 - -38732. Let n = -0.0128 - i. What is n rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r. Let v be m(1). Suppose -4*t + 4*z = v, 0 = -2*t + 4*z + 2. Is 12\/t + 5 + 1604\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**3\/3 - 2*h**2 - 4*h - 3. Suppose 2*z - 3*z + 1 = 0. Let i be z - -1 - (0 + -1). Determine d(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6))**9 assuming p is positive.\nAnswer: p**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4293\/(-252) + 17)*3*(-8)\/(-6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 4*z**2 - 2*z + 1. Let p(a) = -a**3 + 3*a**2 - 2*a + 1. Suppose 0 = -23*h - 2 - 67. Calculate h*l(s) + 4*p(s).\nAnswer: -s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -2.15880138095\nAnswer: 2.05880138095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1920, 4279, 6628, 8961, 11272, 13555, 15804?\n\"Answer: -p**3 + p**2 + 2363*p - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15192 and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 - 4*f**3 - 208*f**2 - 752*f - 720 = 0. What is f?\nAnswer: -10, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2336 = 3*y + 841, -2*f = 4*y - 1998. Find the third derivative of 2*k**6 + y*k + 4*k**3 - 4*k**3 - 24*k**4 - 503*k + 13*k**2 wrt k.\nAnswer: 240*k**3 - 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/457 - 150754\/3199. Let t = -48 - h. Is -2 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:36 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Suppose -p - p + 6 = d. List the prime factors of (2\/p)\/(4\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/5052 and -67\/6.\nAnswer: 5052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -452 - -452. Let t = -1672405\/297 - -5631. Which is bigger: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3681*q. Let d(x) = -x. Give p(d(j)).\nAnswer: 3681*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 + 6*o**2 + 9*o - 5. Let p(x) be the first derivative of -x**4\/4 + x**2\/2 - x + 14. Let f(q) = l(q) - 5*p(q). Find h, given that f(h) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.43 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3030 (base 14) to base 16.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172 or 1031\/6?\nAnswer: 1031\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9237 divided by 1160.\nAnswer: 9237\/1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 3 = -32*m. Let u(y) be the first derivative of -4\/5*y**5 - 2 + 0*y**m - 3*y + 0*y**4 + 0*y**2. What is the derivative of u(o) wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 2. Let p(f) = 32*f**2 + 1. Let i be p(r). Suppose 0 = -0*o - 5*o + 55. Calculate the highest common divisor of i and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103055610563 - -47.15.\nAnswer: -103055610515.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/((-900)\/10))\/((-12)\/(-288))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2 + 1. Let a be y(-1). Let u = 71 - 55. Let d = 21 - u. Put 0.2, d, a in decreasing order.\nAnswer: d, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -45\/2. What is the nearest to -1\/2 in 0.4, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**5 + 0*x**5 + 398*x**4 - 396*x**4 + (-5*x**3 - x**3 + 5*x**3)*(-5*x**2 + 5*x**2 - 3*x**2).\nAnswer: 7*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8.5 * 2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 - 11*p**4 - 31*p**3 - 21*p**2.\nAnswer: -p**2*(p + 1)*(p + 3)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 6. Let q(l) = -l + 3. Let m(w) = -3*o(w) + 5*q(w). Let t be m(0). Let a = 18 + t. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*h - 0*y + 39, 0 = 5*y + 10. Let w = 8 + h. Solve 26 - w = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340411 + -2?\nAnswer: 340404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 21*v - 23*v = -160, -11*v + 841 = 9*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmee when four letters picked without replacement from {w: 4, m: 1, e: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 - -1?\nAnswer: 0.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9.56 - 10\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 1 l when three letters picked without replacement from {c: 1, l: 8, k: 2, f: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*r - 838 + 167 + 171 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -28183701600 to the nearest one million.\nAnswer: -28184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15 = 9. Let m be 1 - (4\/(1 - -1))\/u. Suppose -l + 72 = 4*z, z - 18 = -m*z + 5*l. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/120 + b**5\/6 - 7*b**4\/8 - 33*b**3\/2 + 8*b**2 - 1. Let h be k(-5). Is 1\/5 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1097*n**2 + 169*n - 2370. Let v be y(18). Round v to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*v - 0. Let k = 4 - v. Let n = -117 - -119. Solve k*a + 1 = -n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(-21 - -19). Does 5 divide x\/(7\/(-98)*(-2)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -25, 3, -209?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(104)\/(sqrt(16)\/sqrt(2))))**2 + -5 + 3.\nAnswer: -54*sqrt(13) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 21*n. Suppose -10*f = -12*f + 150*f - 296. Let l = -3 + 5. Let y(s) = 15*s**f - 27*s**2 + 11*s**l. What is h(y(d))?\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2224 or -5253?\nAnswer: -5253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 21 = -4*d, -3*m + 8 = 3*d - 10. Suppose m*j + j = 36. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 47 - 8*j)*(-86 + 3*j + 2*j**2 + 86).\nAnswer: -16*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**5\/20 - o**4\/3 + o**3\/6 + 3*o**2\/2 - 2*o. Let z(h) = -2*h**2 - 8*h - 12. Let d be z(-2). Give k(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**6\/24 - r**5\/60 - r**4\/24 + r**3\/6 + 75*r**2 - 6*r. Let s(h) be the first derivative of n(h). Determine s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = 5*q - 3, 0 = 2*q + 4*f + 16. Suppose u - 21 = -6*u. Suppose 4*x - 2*b - 403 - 629 = 0, q = -u*x - 5*b + 787. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-56424)\/22*(-759)\/46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j - 660 = 660. Let r = -21 + 43. Calculate the highest common factor of j and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 826 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -301 - -867. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -861*g**2. Let z(x) be the first derivative of x**2\/2 + 949. Calculate z(r(t)).\nAnswer: -861*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 518 + -181. Let j = -228 + y. Let i = -108.27 + j. What is i rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127584631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + j - 6. Let l(y) = -y + 2. Let x be l(4). Let b = 10 + x. Let v = 8 - b. What is z(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 2. Let h be f(4). Let p(g) = 19*g - 1. Is p(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-12))\/((-2)\/(-8)). Let b = -70 + 65. Let v(k) = k**2 + 1. Let s(r) = -6*r**2 - 5. Give b*v(t) + c*s(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 3*z**4 + (1 + z**3 - 1)*(99*z + 27*z + 348*z) + 1 - 1 - 2*z**4 to n*z**2 + h*z + c*z**3 + b*z**4 + l and give b.\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4925 - 769 - 5024 - 4966 + 1665 - 620)*(-4*t + 2*t + 0*t) to o + p*t and give p.\nAnswer: 29278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*2*-3 + sqrt(756) + sqrt(756))\/((sqrt(189)\/sqrt(7) - sqrt(3)) + sqrt(3) - (sqrt(24) - sqrt(96)\/sqrt(4))\/sqrt(8)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 88?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78)\/429 - 1544\/(-22). What is the greatest common divisor of i and 5810?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/480 - a**4\/64 + a**3\/24 - 6*a**2. Solve k(u) = 0 for u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121732221*y**3 - 216994037?\nAnswer: 365196663*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-1 - -34) + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0 (c) 4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:30 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfg when three letters picked without replacement from ffghffzgzyzfffzggzg.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 2)*41\/2. Let g be -3*3\/(-9) + p. Suppose -13*r + 17*r - 84 = 0. Calculate the highest common factor of g and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.72 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433226 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 93*c**8\/4 - 347*c**5\/12 - c**4\/12 - 375*c**2 + c + 3. What is the third derivative of q(h) wrt h?\nAnswer: 468720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325 divided by -41.\nAnswer: 325\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2196154803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -49b7?\nAnswer: 49c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2422394915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2 + 61260*x = 0.\nAnswer: -12252, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.084 * -0.5\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**1)\/v)\/v)**(-1\/23)\/(v*v*v*v**(-3\/2)*v**(-3\/7)*v*v))**(-1\/18) assuming v is positive.\nAnswer: v**(961\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**5\/k)\/k))\/k*k)**(-4\/3)*(k\/k**(2\/25))\/(k*k*k**(11\/4)*k) assuming k is positive.\nAnswer: k**(-649\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-204)\/(-28) + 2\/(-7). Let q(z) = -z + 13. Let d be q(a). Let c(g) be the first derivative of g**3\/3 - 4*g**2 + 6*g - 1. Give c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-18)*2*-6 + 1443. Let l = z + -328. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*s + 22. Let m = -7 - s. Let p be (-597 - 3)*m\/(-10). Round p to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 27*o - 21. Let r be k(1). Suppose 0 = -r*d - 510 + 516. Which is bigger: d or 3\/79?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 - 8*q**2 - q + 4. Determine y(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/450274 and 65\/1350822?\nAnswer: 1350822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 8*w**2 - 8*w + 1. Let t be l(9). What is the greatest common factor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/33*(9\/2)\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 3*j + 16, 4*j + 883 = -4*w + 851 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, t: 4, i: 2, y: 4}. What is prob of picking 2 e and 1 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 5*v**3\/6 + 2*v. Let s be (6\/(-16) - (-304)\/128)\/(1 + -2). What is i(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 2)*(-2 + 2 - 1)*(-32*r + 32*r - 26*r**2).\nAnswer: 130*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-51)\/14 - -4) + -3 and 7\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let b(t) = -640*t**2. Calculate l(b(u)).\nAnswer: 1280*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, 1 o, and 1 a when four letters picked without replacement from oayyayyxoxaaaoy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izedwddeeeeeddeee. Give prob of picking 1 e and 1 d.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*x - 4*j - 22, -x = -5*j + 2. Let b be 6\/x*(-7 - -3). Let l = 7 + b. Solve -12 + 4 = l*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -80. Let g = 2 + k. Suppose -2*d - 2*u + 12 = 2*u, -g*d - 5*u + 30 = 0. Solve l = -5, -5*q + 3*l = d*l + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 659*i**2 - 2082*i - 63540. Calculate s(-662).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + 28*x**2 - 8*x + 668. Let h(r) = 11*r**3 + 105*r**2 - 30*r + 2671. What is 4*h(i) - 15*z(i)?\nAnswer: -i**3 + 664","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-21) + (-36)\/28)*-59. Suppose 0 = -5*q + l - 24. Suppose 3*v - 59 = -2*t, 97 = 2*v + 3*v + 4*t. Calculate the greatest common factor of v and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611223.7 nanoseconds in microseconds?\nAnswer: 611.2237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 362 - 356. Let q(u) be the first derivative of 0*u - 9\/2*u**2 - r. Let d(j) = 2*j**2. Give q(d(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*r - 5 = 0, -g + 3*r - 16 = -0*g. Let d = 23 - g. What is the highest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v - 202*v - 7761 = -51*v for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.22 (b) 0 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i. Let s(j) = j + 0*j + j. Calculate v(s(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*x - 0*x. Let m = x - 10. Solve 0 = -3*i - 12 + m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - 2.5. Let y be (-22)\/30 + (-18)\/(-45). Which is the third biggest value? (a) -0.5 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449466?\nAnswer: 2, 3, 23, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 168, 310, 452?\n\"Answer: 142*f - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884712860?\nAnswer: 2, 5, 29, 1525367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a factor of 208082941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (11\/(-33) + (-16)\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 + 125. Let c = p - 29.8. What is the fourth smallest value in c, 1, 0.4, -1.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w = 0. Suppose 2*k = -3*z - w*k + 4, 0 = -z + 4*k + 20. What is the least common multiple of (56\/12 - 4)*18 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - 3*w - 2. What is c(5)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3258142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-4))\/(4\/8 - 1). Suppose -106 - 39 = -5*r. Let v = r - u. Is v at most 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355952 rounded to the nearest one thousand?\nAnswer: 356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 639 by 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 460171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.672591 milligrams to micrograms.\nAnswer: 2672.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + (3 - (3 - 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -632 (base 9) in base 5?\nAnswer: -4030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Suppose -3*f + 140 = 31*f - 6*f. Let q = 6 + -6.4. Which is the closest to 2? (a) f (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6447.553 weeks in minutes?\nAnswer: 64991334.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.1. Suppose -2*h - 1 = -u, -3*h - 6 + 1 = -5*u. Let o = -2 - 1. What is the biggest value in h, o, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5307*r - 178 - 2656*r - 2652*r as h*r + j and give j.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -12*p + 407. Suppose -p + 76 = 13*l. Solve 3*u + 3 = -4*t, 0 = -10*t + 5*t - l*u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a + 572 = -820 - 82. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.47 - 0.03. Let c = 893\/45 + -97\/5. Put 0.46, j, c in descending order.\nAnswer: 0.46, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11088243 and 762?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*a - 4 - 2 = 0, a = 2*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0*g**2 + 0 - 6*g + 0*g**3 + 7\/4*g**4 + 11\/20*g**5. Find the third derivative of h(x) wrt x.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -10*h**2 + 80*h + 3. Let z be l(8). Solve -k - 1 = -z*y, 5*k + 3*y - 5 = 7*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 9:41 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.08, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151144135 (base 6) in base 2?\nAnswer: 1011111110100011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 413 - c - 334 + 5*c. Let b be a(-19). Solve 3 = -3*g - 5*s, b*s + s = -5*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 1. Suppose -5*x - 14 = 2*d, -5*x + 2*x - 2*d = 10. Calculate the remainder when (4 - 2) + 29 + x is divided by h(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233567779 - 35167779 = 20*o. Suppose 22*g + o = 30*g. What is g rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (1 + 2*sqrt(272))*4*2)*4 + -3)**2.\nAnswer: 8704*sqrt(17) + 1114401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22879 smaller than -160143\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 598331 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 3*l - 6*l)*(-l**2 - 2*l**2 + l**2) + (2 - 36*l - 2)*(5*l**2 - 5*l**2 + 2*l**2) in the form c*l**2 + z*l + v*l**3 + h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = 8*w + 34. Which is the closest to w? (a) -2\/15 (b) 2\/3 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 24*o - 4*o - 2 - 8*o - 4*o.\nAnswer: 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15610 - 682 = -217*u - 919*u + 203*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 4 - (24 - (-5 + 16))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 9 + 72 + 8*b**2 - 8*b**2 to the form a + m*b**2 + x*b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 divided by 21.\nAnswer: -74\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3144\/407 or 8?\nAnswer: 3144\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -2 - 2*j**2 + 0*j**5 + 0*j + 1\/3*j**3 - 17\/30*j**6 + 7\/4*j**4. Find the second derivative of u(s) wrt s.\nAnswer: -408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3037207, 12148701, 27334523, 48594673, 75929151, 109337957, 148821091?\nAnswer: 194378553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000546925 rounded to 5 dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51118 is divided by 213.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -127d + 6a?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 23. What is the highest common divisor of b and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1040 - 1091.1. Let g = h - -51.2. What is the third biggest value in -8, 0.4, g, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24668531567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 60292 = -3*s, 2*s - 2663 = 3*i - 42875. Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 3 = 16*g. What is the units digit of 2*g\/(-2) - (4 + -65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35b + -64?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = j + 2, 0 = 2*r - 4*r + 6. Solve -w - 8 + 10 = -5*f, j*w + 16 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 + 5*f - 5*f)*(0 + 0 - 9*f + (-f + 3*f - f)*(-3 + 3 + 1) + 127 + 151*f - 79*f - 73*f) in the form v*f**2 + b + i*f + k*f**3 and give v.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 6282.\nAnswer: 12564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2386 + 2404. Solve 4*w - 10*w - q = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + w**2 - 4. Let m(g) = -g**3 - 7*g**2. Let r(k) = -5*k**3 - 38*k**2. Let f(v) = -11*m(v) + 2*r(v). Calculate -3*f(o) + z(o).\nAnswer: -o**3 - 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9))\/(3*(-300)\/54).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k**2 + 87 - 87)*(33*k + 50*k - 98*k) + (5*k + 6*k - 6*k)*(-2*k**2 + 2*k**2 - 3*k**2).\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeiitreeieerieeeii. What is prob of picking 1 r, 1 t, and 1 i?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 287550?\nAnswer: 287550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n**2. Let p(v) = 46*v. What is p(f(x))?\nAnswer: -460*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*4249\/35 - (-8)\/10?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at least as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 4\/(1*-2). Let h be 1\/(-2) + (-7)\/x. Suppose -d - 2*q - 10 = 0, -7*d + 8*d = 2*q + 10. Which is the nearest to d? (a) 0 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6952?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**5*h))\/(h*h*h*h\/(h*h**(-5\/3))))**(-27))**(-21) assuming h is positive.\nAnswer: h**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -12*g**3 - 6*g**2 - 20*g - 30. Let m(n) = -n**3 + n**2 - 2*n - 2. What is -10*m(a) + v(a)?\nAnswer: -2*a**3 - 16*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184809 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 207760702 and -0.3.\nAnswer: 207760701.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28441, -56870, -85299, -113728, -142157, -170586?\n\"Answer: -28429*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 50 - ((64 - 35) + 1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.093 in 0.22, 3, -2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11641712 by -247696.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 814 - 809. Let r be (-2)\/6*(-2 - -3). What is the nearest to r in -1\/3, 2\/9, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {l: 3, x: 1, u: 7, y: 5}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383247683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 170? (a) -3 (b) 80\/59 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822.2279cm to nanometers.\nAnswer: 8222279000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from lqyqwlywww.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 51, 84, 123, 168, 219, 276?\n\"Answer: 3*i**2 + 18*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**3 + 5*t**2 - 6*t - 4. Let j(w) = 4*w**3 + 3*w**2 - 3*w - 2. Let h(f) = 5*j(f) - 3*u(f). Calculate the least common multiple of 2 and h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 12:47 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 2. Let a(p) be the third derivative of -p**5\/60 - p**3\/6 + 18*p**2. Give -5*a(o) + 2*z(o).\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 13 = l + 10*q, 2*l = 3*q - 29. Let d be (-2)\/l - 10\/14. Which is the nearest to -1\/4? (a) -4 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1269441\/23165 - -1\/23165. Let g = i - 55. Which is smaller: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -15. Let f = 37 - n. Let p = f + -5. What is the lowest common multiple of 6 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -4. Let v = -1.92 + 1.62. What is the third smallest value in v, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g - 17. Let z be s(-4). Let d = z - -15. Calculate the remainder when 48 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**4 - 60*p**3 - 172*p**2 - 7127. Factor l(c).\nAnswer: -4*c*(c + 2)*(c + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1078 * 2\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4\/5 (b) -3\/5 (c) 609\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from hrrrurhrrruu.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 + 7*g + 37 + 37 - 90 to x + j*g and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + 5*r. Let t be v(-2). Suppose -2*p - 4*s - 6 = 0, -18 + 1 = -p + 3*s. Solve -t*l + 3 = -2*w - p, -3*l = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l + 276 + 846 = 1796 + 2518 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = l + 14, 18 = 1154*l - 1157*l + 3*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 8*b + 693. Let t = b + 106. Let i be 2 - 0 - -3 - 2. Solve -3*s - t = z, -2*s - i*z - 2 = -9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 27 = -k, -5*p - 4 = 5*k - 19. Suppose -4*x + p + 0 = 0. Let d = 27 + -27. Solve 6 = x*t - d*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 2*v - 4*v. Let b(y) = 5*y**2 - 3. Let z = 2 - 5. Let q(t) = 24*t**2 - 14. Let o(a) = z*q(a) + 14*b(a). Calculate u(o(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 + 219. Suppose 0 = -r + i + i + 27, 5*r - b = 5*i. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -10*z - 58. Let t be b(-7). Suppose 52 = 8*y - t. Solve 9 = y*s - 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/3 + 273988*j\/3 + 9383678018\/3 = 0.\nAnswer: -68497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 963590600 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 907.9?\nAnswer: -363.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 6*g - 5*g + 15*g. Let z(c) = -2*c - 68. Give z(d(f)).\nAnswer: -2*f - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) - -3*sqrt(495)) + sqrt(495))\/sqrt(11).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*l**3 + 4 - 7 in the form h*l + v + m*l**2 + a*l**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2622 and 4.\nAnswer: 1.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -810 + 834. Let k(s) = 2*s + 10. Let m be k(7). What is the greatest common factor of m and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 64. Suppose -y = -31*v + 26*v. Suppose -5*u - 237 - 916 = -v*t, -3*u = -4*t + 1530. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32, -44, -66, -104, -164?\n\"Answer: -l**3 + l**2 - 8*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 + -0.18. Which is the closest to 1\/3? (a) -0.04 (b) -2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 35, 44, 53, 62?\n\"Answer: 9*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 1584.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - 80. Let i = n + 174. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4158 and 139\/2970?\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*a**2*r**3 - 5*a**2*r*t**2*z - a**2*r - a**2*t**2 + a*r**3*t*z - 2*r*t**2 wrt z.\nAnswer: -5*a**2*r*t**2 + a*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 11) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1.6, 0.0311 in decreasing order.\nAnswer: 1.6, 0.0311, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 3:54 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 469.87 times 2.7?\nAnswer: 1268.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = 2*r + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8, -8 = -4*o - 3*b - b. Let d = -7\/60 - 2\/15. What is the third smallest value in d, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 10*p + 2. Let k be l(9). Let g be (5\/(-4))\/(-5) - (-102)\/(-120). Which is the nearest to k? (a) -2\/9 (b) 1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7523 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16913, -16902, -16867, -16796, -16677, -16498?\nAnswer: -16247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0 + 28. Let u(a) be the first derivative of -a**3\/3 - 7*a**2\/2 - 4*a - 1707. What is u(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 74*d**4 + 4*d**3 + 8*d + 49. Let p(m) = -75*m**4 - 3*m**3 - 6*m - 49. Let o(i) = 4*p(i) + 3*s(i). Find the first derivative of o(u) wrt u.\nAnswer: -312*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -65. Solve -5*s = d*k - s - 16, -3*k - 5*s = -16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 32*k + 267 - 18*k**2 - 5\/3*k**3. Factor f(b).\nAnswer: -(b + 8)*(5*b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93397 + -93397.0372516. Let k = 0.0375 + t. Round k to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**(10\/11)*(f**3\/f)**(-4\/13) assuming f is positive.\nAnswer: f**(-134\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 200110 (base 3) to base 9\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6292\/(-47190)*(-1770)\/(-4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/238 and 10\/221?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 136*q**2 + 132*q**2 - 542*q**2 + 132*q**2 + 134*q**2 + 0*q.\nAnswer: -8*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3*-3*0. Suppose -h = -q*h. Solve -3*l = h, 0*l = -2*u - 2*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 5*j**2 + 4*j - 6. Calculate r(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y. What is the units digit of -1 - (-1 - y)*(23 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0648 and 0.14?\nAnswer: -0.009072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4837327 and 308110?\nAnswer: 48373270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -31*o + 690. Let z be (1 - 2) + -20 + 0. Let d = z + o. Solve 1 = -d*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.022 - -0.022. What is the third smallest value in 0, 2\/19, y, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 94, 330, 786, 1534, 2646, 4194, 6250?\nAnswer: 8886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 37656?\nAnswer: 263592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - 3.1. Let w = 1303.07 - 1304. Which is the second biggest value? (a) 1 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -350.1 + 389. Round j to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379499.\nAnswer: 379499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64961 divided by -291.\nAnswer: 64961\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58\/33 - -12\/11. Let k(s) = 2*s**2 + 24*s + 22. Let r be k(-11). Let v be (3\/4)\/(21\/(-7)). What is the closest to -2 in v, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3627877 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -98*c + 76. Let t be b(-6). Let l = 1070 - t. List the prime factors of l.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 48 - 24. Suppose 76 = -b + d, -1218*b + 1223*b + 4*d = -344. Does 39 divide u*6\/(b\/39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 76*u - 72. Let n be q(1). Suppose v - w = -3, 0 = w - 2 + 1. Let y be 4\/3*3\/v. Sort n, y, 3 in descending order.\nAnswer: n, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632\/9792*-2*(-3)\/(-9)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*h + 3 = -9, -9 = -w - h. Suppose 0 = w*y - 7*y - 20. Let r(b) = 6*b + 12. List the prime factors of r(y).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34676750965.889897 - -34668545492.19. Let a = 8205497 + w. Let u = a + -23.3. Round u to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -19. Sort 3, c, 0 in ascending order.\nAnswer: c, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 + 5 = 0. Let w be n*(2 + -1)*-1. Let j = 4 - 4. Is w bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 3*u**5\/20 + u**4\/2 - u**3\/2 - 3*u**2 + 3*u. Solve x(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y + 6. Let m(z) = z**3 - 5*z**2 + 19*z - 90. Let u be m(5). Let j be u\/(-15) - 133\/y. Calculate the greatest common factor of 66 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -19*a**3 + 16*a**2 + a + 1. Let u(y) = 6*y**3 - 5*y**2. Give 2*h(k) + 7*u(k).\nAnswer: 4*k**3 - 3*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152512 (base 7) to base 15.\nAnswer: 8c37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3912604?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**30)**(19\/6)*((j**(2\/53)\/j*j)\/j)\/(j*j\/j**(2\/47)) assuming j is positive.\nAnswer: j**(-1416179\/14946)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -269272, -538512, -807658, -1076662, -1345476?\n\"Answer: 8*s**3 - s**2 - 269293*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1410676 centimeters in nanometers?\nAnswer: 1410676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h - 220. Give l(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*r - 13, 21 = -39*w + 42*w + 2*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 80\/11 (b) -0.2 (c) -1\/3 (d) -1\/7 (e) -3\/437 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/280)\/(17\/(-10)*7)?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2. Suppose -i - 2 = -3*x, -x - 9 = -2*i - 3. Let j be d(i). Suppose 4*u - 21 = -5*h, 5*h = 2*h - 2*u + 11. Is j > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)*-5)\/(sqrt(72)\/(sqrt(6) + sqrt(54)\/sqrt(9))).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11373 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - s**3 + 8*s + 2*s**3 - 5*s + 4*s + (-5*s**2 - s**2 + 2*s**2)*(3*s - s + 2*s) to r*s**3 + i + l*s**2 + h*s and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = o - 4*o - 6, -13 = 3*m - 4*o. Let n be (5\/m - -1)*-9. Find the third derivative of 5*h**n - 8*h**2 - 3*h**6 + 7*h**2 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0*h - 1\/4*h**4 - 26*h**2 + 0 - 1\/2*h**3. Let t be (-6)\/(-2) - 7 - -2. Let k(b) = 7*b + 4. Calculate t*k(c) - 3*r(c).\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:22 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 45*h**2 + 1697 - 1696 - h + 2*h. Give b(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 + 115. Put -2, t, -0.3 in increasing order.\nAnswer: -2, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 5*y + 4. Let m be t(4). What is the highest common factor of m and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/6 + (6 - 1). Calculate the remainder when 2\/c*1*18 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -10*t + 18. List the prime factors of s(-13).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*i**2 + 108*i**2 + 868*i**3 + 22*i - 9*i - 201*i**2 wrt i?\nAnswer: 5208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323933918 + 323933918 + 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2019 + 0.7981. Let y = -7 + 6.7. What is the nearest to y in g, -0.02, 0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2181697210 to the nearest one hundred thousand.\nAnswer: -2181700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -274965.51 plus 255?\nAnswer: -274710.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*m - 12334 + 1434 = -104*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**0))\/w)**(2\/21)\/((w*w**(-2\/5))\/(w*(w**(-2)\/w*w*w)\/w*w*w))*((w*w**(2\/7)*w)**(2\/39))**(10\/17) assuming w is positive.\nAnswer: w**(8672\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -27. Let j = p - -28. Let i = j - 19.5. Sort 5, -7, i in descending order.\nAnswer: 5, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**5\/20 - u**2\/2 - 5*u. Let t(d) = -d**3. What is -g(v) - 2*t(v)?\nAnswer: v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b = -164*b - 78*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58 + 5286?\nAnswer: 5227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 6*j - 19. What is the hundreds digit of w(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30011400 + -115?\nAnswer: -30011515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/85)\/(1062*20\/1200)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a)*(-5 + 2 + 0) - 13 + 18 + 10 - 5*a.\nAnswer: a + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - -18. Let o = q - 40.99837. Round o to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-420)\/63*249\/(-166)*1\/9*9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**5\/60 + c**4\/6 - c**3 + 3*c**2\/2 - 1. Let x(r) be the second derivative of s(r). Is 13 a factor of x(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.768726g?\nAnswer: 1768.726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76260437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/347, 2\/5, 5, 0.5 in descending order.\nAnswer: 5, 0.5, 2\/5, -5\/347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**2 + 26*q - 19*q + 5*q**2 + (-3*q + q + 4*q)*(-q + 0*q + 3*q) - q**2 - 4 + 4.\nAnswer: 2*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*q**2 + 1\/2*q**3 + 0*q + 2.\nAnswer: (q - 2)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -160 and -2.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-335)\/(-201)*(-72)\/8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*q - 33*q + q**2 - 2*q**6 + 57*q - 3*q**4 + 26*q - 13*q**6 wrt q?\nAnswer: -1800*q**3 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7ab45 - 0?\nAnswer: -7ab45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -665042?\nAnswer: -9\/665042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0 + 7\/2*s**2 - s**3 + 3*s + 1\/3*s**4. Let m(f) = 11*f**2 - 17*f + 20. Let c = 12 + 5. What is c*i(a) - 6*m(a)?\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/90 + 0 - (708\/20 - -5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/12 - 2\/4. Let r = 4 + -1. Suppose r*o + m*b = 86, 5*o - b = 6 + 145. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00883289875 rounded to 4 decimal places?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6. Suppose i = -2*v - 7 + 37. Suppose v - 6 = s. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1041 = 7*y + 1150. Let k = y + 450. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, j: 6, k: 2}. Give prob of picking 1 j and 1 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/4 of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 4*k**2 + k. Let y be (-76)\/(-6) + 2\/(-3). Let q be (y\/(-10))\/(3\/(-10)). Let u be (-2)\/((8\/3)\/q). Determine b(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) + (-3)\/(-4). Suppose 2*f - z = 3. Solve 0 = f*v + 9 - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*z = 207 - 276, -3*n + 2*z - 37 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 1:29 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c. Suppose 5*a - 2*a = 42. Let j(b) = -b + 5*b + 0*b - b. What is a*j(k) + 5*m(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/55 + (-44)\/(-20) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 665309 - 1?\nAnswer: 665308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*j - 4*l + 6, -4*l + 16 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 264\/(-288) + (-105)\/(-20) + -6. Which is the closest to 8? (a) q (b) 4 (c) -2\/11 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6411196, -6411197, -6411198?\n\"Answer: -l - 6411195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -96*y - 78. Let j(d) = -d + 1. Let h(r) = 6*j(r) - o(r). What is the derivative of h(x) wrt x?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317387391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71552681 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k + 219. Let n = -655\/9 - k. Factor 2\/9 + n*i**2 + 4\/9*i.\nAnswer: 2*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, d: 2, a: 1, k: 2}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*i - z = 76*i - 62598, -7*z - 104382 = -5*i. What are the prime factors of i?\nAnswer: 2, 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2*x + 16677186*p**2 + 2557*p*x + 489*x wrt p?\nAnswer: 6*x + 33354372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2745)*-61)\/(5\/250)*(-66)\/4.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 4*j - 44. Let b = j + -11. Suppose 0 = -4*a + 12, o - 5*a - 72 - 544 = b. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2323 (base 4) to base 3.\nAnswer: -20221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 375, 293, 211, 129, 47?\n\"Answer: -82*q + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 3*n - 4*r, n + 2*r + 354 = 6*n. Suppose 8 = 4*q, -4*k + 3*q = -7*k + n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**4\/6 + v**2. Let b(p) = 3*p. What is a(b(d))?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2 = 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36493, 36646, 36801, 36958, 37117, 37278?\nAnswer: 37441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*c**2*h**2*r + 244*c**2*h*r**2 + 9*c**2*h*r + 7*c**2*r + 38*c*h**3*r**2 + 8*c*h**3 wrt r.\nAnswer: 488*c**2*h + 76*c*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 82. What is the remainder when 66 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d**2 + 19*d + 89. Let u(f) = -29*f**2 + 51*f + 235. Let c(a) = -21*q(a) + 8*u(a). Give c(14).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(3\/5)*v))\/v**7 assuming v is positive.\nAnswer: v**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 4*n. Let k be (n - 1) + 5\/5. Solve -4*z - 4*p - 12 = k, -5*z - 36 + 7 = -2*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31864 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 242257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 + 3*n - 2*n**4 - 2 + 0*n**4 - 3*n in the form d + x*n**4 + y*n + u*n**2 + z*n**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736*l - 74 + 2*l**3 - l**3 + 627*l - 34*l**2 = 0 for l.\nAnswer: -2, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -5*(1 + -3 + -1*sqrt(847)*-1 + (sqrt(847) - (1*sqrt(847)*1 - sqrt(847)))) + -5)*2)**2.\nAnswer: -7920*sqrt(7) + 339124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 f, and 1 o when four letters picked without replacement from {x: 2, f: 2, p: 2, n: 8, k: 1, o: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*a**3*h**2 + 303*a**3*h + 2*a**3 - 3*h**2 wrt h?\nAnswer: 84*a**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7 + 67.3. Let q = l - 61. Which is the closest to 0? (a) 2\/9 (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*h**4*p - 27345*h*p - 16939*p + 4 wrt h?\nAnswer: 28*h**3*p - 27345*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9837563*w**5 - 14646124*w**2?\nAnswer: -590253780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266 + 6*i**3 - 2*i**3 - 2*i**3 + 189 - 455.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c + 5*c)*(-c + 0 + 0 + (1 - 3 - 3)*(7*c + 24 - 24) + c - 2*c + 2*c).\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:14 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - z - 1. Let l(g) = -6*g - 3. Let q(r) = r**2 - 12*r - 5. Let a(i) = 5*l(i) - 2*q(i). Give a(v) - 6*j(v).\nAnswer: 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003 - -1200312?\nAnswer: 1132303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -13*f**5\/20 - 5*f**3\/6 + 8*f. What is the second derivative of w(o) wrt o?\nAnswer: -78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2335*u - 21 + 1 - 2329*u. Determine r(10).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {i: 3, g: 8}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 60. Suppose 495 = 3*s - t. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -3, 0.02, 1\/427, -0.06, -1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 9*o - 33. Let c be d(12). Let j be (-2)\/(-8) + (-11)\/(-4). Let w = 1 + j. Put w, c, -4 in ascending order.\nAnswer: -4, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (585\/10)\/9 - ((-2)\/4)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -29*r + 0*r + 12 - r**3 + 2*r**3 + 11*r**2. Let q be (1014\/(-117))\/((-2)\/(-3) + 0). What are the prime factors of y(q)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 12:56 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/255 - (-33)\/90. Let v be 0 - (0 - 2 - -2). Determine m, given that m**4 + v*m**2 - y*m**3 + 0*m + 0 - 1\/2*m**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**28*w*w\/(w**(-34)*w) assuming w is positive.\nAnswer: w**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 6, t: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/4 of a week?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/9 - -3)\/(3844\/2883).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(605) + 1)**2 + (-1*sqrt(245))**2 + 5.\nAnswer: 22*sqrt(5) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + -5 + 2 + (sqrt(352)*-1)\/(sqrt(32)*2))*-1)**2.\nAnswer: 45*sqrt(11) + 999\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 4 (c) 32 (d) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + sqrt(68)\/sqrt(4) + (1 + sqrt(1377))**2*6.\nAnswer: 109*sqrt(17) + 8262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, 2, 1, -240, 10 in decreasing order.\nAnswer: 10, 2, 1, 0, -15, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**5\/3 + 11*h**4\/3 + 264*h**3 + 3724*h**2\/3 + 5824*h\/3 + 960 = 0.\nAnswer: -20, -2, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**9\/90720 - r**8\/30240 + 3*r**5\/20 - 9*r**2. Let u(q) be the third derivative of z(q). Factor u(y).\nAnswer: -2*y**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 650 - 647. Factor -1\/3*b + 0 + 1\/6*b**y - 1\/6*b**2.\nAnswer: b*(b - 2)*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -4, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1820, -1832, -1854, -1886, -1928, -1980?\n\"Answer: -5*s**2 + 3*s - 1818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277*r = -1299*r - 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2 + 2)*((2 - 3 + 2)*(2 - 1 - 2)*(-1 - 2 + 5) + (-3 + 0 + 1)*(-2 - 5 + 0)).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 49913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/5 and 5\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 - -1)*(-2)\/(-8) - -1. Let j(b) = b**3 - 4*b**2 + 5*b - 3. Let w be j(3). Solve 9 = 3*u + 2*q, -w*u - 2 = a*q - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 182. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01453 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o. Let t(z) = 2. Let a(s) be the third derivative of s**5\/60 + 5*s**3\/6 - 21*s**2. Let d(m) = -2*a(m) + 5*t(m). Determine d(h(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/801, 0.3, 9498, -3, 1?\nAnswer: -1\/801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1)\/(2 + 0). Suppose q + q + 2 = z. Let j = q - -1. Solve j = -2*t - 3 - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 28. Let w = 8 + r. Suppose 2028 = 4*j + w*s - 4241, -15 = -3*s. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508, -518, -544, -592, -668?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000051441746 to 7 decimal places.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/5, -444?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*q - 125*q - 2*u - 32, 3*q - 2*u = 11 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -115 in descending order.\nAnswer: 0, -8, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3286, -2633, -1544, -19?\n\"Answer: 218*n**2 - n - 3503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 60*t**2 + 35*t + 35. Let i(n) be the second derivative of 3\/2*n**2 + 23*n + 1\/2*n**3 + 0 + 5\/12*n**4. Determine 3*c(a) - 35*i(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 26 (c) 0.59 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - c + 2 = 0, 2*j + 5*c - 6*c = -2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o - 16. Suppose 3*m - 2*i = m + 14, 0 = -o*m + 3*i + 31. Suppose -5*f = -4*n - 10, 2*n - 5*f = -5 - m. Solve -4*l + 7*z - 3*z = n, 0 = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56479 - -132812. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*o + 117 - 112, 2*o + 4*y = 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28527547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - g + 718 = 719, -2*j + 4*g = -4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 112752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6162959 meters in centimeters?\nAnswer: 61.62959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 640*m**3 - 6*m**2 - 3*m - 6. Let l be a(6). What is l rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 - 4*y**3 + 8*y**3 + 3*y**3 + 8*y**3 + 18*y**3.\nAnswer: 46*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -210, -359, -514, -681, -866, -1075, -1314?\n\"Answer: -w**3 + 3*w**2 - 151*w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2587 is divided by 301?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -68*c**3 - 2*c**2 - c - 1. Let x be l(-4). Let a = -2523 + x. Suppose 4*z - 3*y = -a, -2*y - 2*y = 0. What is z rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672078.4 years to decades.\nAnswer: 67207.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 828467, 1656939, 2485411?\nAnswer: 3313883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41 - -20.56.\nAnswer: 20.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/4)*o**(-6) assuming o is positive.\nAnswer: o**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*f + 2*q, 841*f - 836*f + 3*q + 21 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*x - 3*x + 0*x - 4 in the form p + u*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00907314133 rounded to six dps?\nAnswer: -0.009073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:58 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 463744854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71344 and 3085628.\nAnswer: 12342512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 17 - 2 - 3*p + 3*p as c*p**2 + u*p + x*p**3 + a and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 26, -0.12, -5\/2, 2\/3.\nAnswer: -5\/2, -0.12, 1\/3, 2\/3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -7. Let h = -2996 + 2996. Let q = -71 + 425\/6. Which is the nearest to z? (a) 5\/4 (b) h (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004538582 to 5 dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n + 40 = 0. Let y = 127 + -125. Let p(h) = -13 - 9*h**3 + 8*h**3 + 2*h + 30*h**2 - 20*h**y. What is p(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952131508.\nAnswer: 2, 37, 1021, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, y: 4, k: 3}. Give prob of picking 2 k, 1 y, and 1 v.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2231*i + 12785. Determine w(6).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s - 6. Let k(t) = t + 1. Let h(m) = 5*m + 5. Let i(q) = h(q) - 4*k(q). Let r(l) = -6*i(l) + z(l). What is r(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((8\/(-40))\/((-6)\/20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25304, 101008, 227172, 403790, 630856, 908364, 1236308?\nAnswer: 1614682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*h = -105, -2*j - 2*j - 3*h = 84. Let i = j + 25. Solve -6 = -i*n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 8586?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 147*l**2 - 145*l - 164. What is i(-48)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10964 and 0.1.\nAnswer: 1096.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-5) + 1\/5. Suppose u*x + 15156102 = 2*x. Let i = x + 1752034. Round i to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)\/(v*v**(-4)*v*v*v))\/(v**(2\/3)*v\/v**(-3)) assuming v is positive.\nAnswer: v**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40c (base 13) in base 15?\nAnswer: 30d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5746\/4 - ((-126)\/28)\/(-3). What is the highest common divisor of 35 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/48*(-252)\/231\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 + 17*i**2 - 34*i + 9. Let r be p(2). Let h be (42\/(-8))\/(1\/(-4)). Let n = r - h. Solve 2*b + n = 6*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 17748.\nAnswer: 88740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - 32)\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*p**2 - 100*p**2 - 99*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 16415.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + l**2 - 2*l - 7. Let s be i(-3). Let k = s - 33. Suppose k*m + 516 = 6*m. What are the prime factors of m?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 139.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-105))\/((-244)\/(-12)). Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**5 - 15*q**4 + 21*q**3 - 9*q**2 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 15\/8*t + 3\/8*t**2 + 0 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -14.1. Let b = -5 + s. Let m = -13 + b. Sort m, 1\/6, -3 in descending order.\nAnswer: 1\/6, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-44))\/3*(-13 + 12)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 34, -39, 4, -6, 1, -1 in descending order.\nAnswer: 34, 4, 1, -1, -6, -14, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 218, 325, 430, 533, 634, 733?\nAnswer: 830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10641489241 and 0.026?\nAnswer: 10641489241.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9802, 19604, 29406, 39208, 49010, 58812?\n\"Answer: 9802*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -215*t**2 - 13*t - 2.\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:56 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8895923\/25 - 355378. Let u(z) = -114*z - 3. Let i be u(4). Let k = r + i. Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -60518 (c) -4 (d) -9 (e) 0.5 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1110111000101111100110 (base 2) to base 12\nAnswer: 1382432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)\/v)\/v)**(-3)*v**(-1\/17)\/v*v**12 assuming v is positive.\nAnswer: v**(271\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 23*o**2 + 335*o - 70. Give i(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 45 = 5*f, -d - 2*f - 894 = -912 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*f**2*h**2 + 11714*f**2*h - 65*f*h**2 - 7*f*h - 2*h wrt h.\nAnswer: 162*f**2 - 130*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242 by 2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121857298 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**8\/840 + o**6\/120 - o**3\/6 - 3*o. Let p(i) be the second derivative of y(i). Find the third derivative of p(s) wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/8)*b**(-10)\/b)\/((((b\/(b*b*b**(-2)*b*b)*b)\/b)\/b*b)\/b)**(11\/6))**(22\/5) assuming b is positive.\nAnswer: b**(-407\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 526*m**3 + 12*m**2 - 6*m + 967. Let r(i) = i**3 - 2*i**2 + i + 4. Let l(j) = a(j) + 6*r(j). Differentiate l(y) with respect to y.\nAnswer: 1596*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 - ((-6 - 11) + 2) - -13.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.1 (c) 0.5 (d) -94 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from aqqaa?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:15 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let t(m) = -4*m**3 - 29*m. Let c(z) = 5*z**3 + 28*z. Let h(w) = 2*c(w) + 3*t(w). Let u(n) be the second derivative of h(n). What is u(d(p))?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.42 - 6263811.\nAnswer: -6263811.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 0, -53 in descending order.\nAnswer: 5, 0, -7, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -229 - -3?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.4 (c) -8.4 (d) 10\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/2 (b) 5 (c) -6 (d) -6.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 531, 1051, 1575, 2103, 2635, 3171?\n\"Answer: 2*r**2 + 514*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 64c5 (base 15) to base 5\nAnswer: 1140320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c*l*m**3 - c*l*m**2*s - 6038*c*m**3*s + 4*c*m**3 + c*m*s - 17*c - 24*l*s + m**2*s - 9 wrt m.\nAnswer: -60*c*l - 36228*c*s + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09654 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -35, 0.4, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.78 + -0.7451. Let k = 0.039 - b. Round k to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -107, -114, -125, -140?\n\"Answer: -2*x**2 - x - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*k - 25 = 383*k + 5*b, -4*k + 4*b - 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.6 + -27. Let p = k + -0.3. Which is the third smallest value? (a) -5 (b) p (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 33*w + 91 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*n + 12 = 180*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21882370?\nAnswer: 2, 5, 2188237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13589 is divided by 106.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, o: 2, u: 2, h: 3}. What is prob of sequence oto?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 184\/44 + 24\/(-132). Solve -p*o = 10 + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p + 0*p**2 - 3*p**2 - 9*p + (-2*p + 2 - 2)*(2 - 2 - 2*p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**10\/5040 - n**6\/90 + 5*n**3\/3 - 3. Let y(x) be the third derivative of u(x). Find the third derivative of y(i) wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -120312.\nAnswer: -11\/60156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*t + 25 = t, -4*t - 20 = 0. Suppose -4*u - u + f = 0. Solve -h = -y + 5, 0 = -3*h - 2 - u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 854337 and 627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - 11621702?\nAnswer: -11621702.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 728823600 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/720 - k**5\/180 - k**4\/36 + 2*k**3\/9 - 17*k**2. Factor u(i).\nAnswer: (i - 2)**2*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-6 - -2 - (-1 - -3 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1235*n - 390 = 1040*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 859012*b**3*z**2 - b**3*z - 1811469*b**2*z wrt z?\nAnswer: 1718024*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375067203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -5, -56, 11 in decreasing order.\nAnswer: 11, -2, -5, -9, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275\/1722 + 2\/287. Let q(k) be the second derivative of -k + 0*k**3 - m*k**4 + 0 + 0*k**2. Let b(n) = 3*n. Calculate q(b(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/86 and 1 - (3 - (-5)\/((-250)\/(-145)))?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 15) + 20 + (31 - (3 - -3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -470 - -823. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 268 and 14?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*o - 721*o**2 - 11*o - 24*o to the form q*o + f*o**2 + d and give f.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 626295, 2505130, 5636513, 10020438, 15656899, 22545890?\n\"Answer: -c**3 + 626280*c**2 + 2*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3703 by 71.\nAnswer: 3703\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 4*y + 1. Let b be t(3). Suppose -7 = n - b*i + 2, -2*i = -6. Solve n*x - 2*x - 5*q + 20 = 0, 30 = 5*x + q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 - 1 + 2 + 0 + 1 + (3 - 3 - 3)*(-1 - 2 + 4))*(z**4 - z**4 - z**4) to the form f*z**2 + p*z**4 + r*z + j*z**3 + d and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 16 = -2*k. Let p = -0.07 + 3.07. Let q = 2.9 - p. What is the nearest to q in k, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/315*(-6)\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7953*l + 7957*l - 44 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-725) - (-98)\/(-1850)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.714305306 rounded to 4 dps?\nAnswer: -0.7143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2870744*x**3 - 10*x - 35197 wrt x.\nAnswer: 17224464*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 + 0. Let h = x + -64. What is the lowest common multiple of h and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 + 4 = 0. Suppose 2*o - 2*n - 224 = 0, s = n - 0*n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(6*r - 14*r - 15*r)*(2*r + 4*r - 5*r)*(-r - 2*r**2 + r).\nAnswer: -46*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -110001101?\nAnswer: -110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 260.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (43\/5)\/(5\/(-380)*4). Which is greater: -162 or w?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w + 3. Let f(i) = 5*i + 2. Let a(m) = 9*f(m) - 4*j(m). Let z = 37 - 33. Let s(g) = -2*g - 13. Calculate z*s(h) + 9*a(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - g - 2. Let o(v) = -4*v**3 + v - 2. Give o(c) - w(c).\nAnswer: -4*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 - -163. Which is the closest to 2\/3? (a) y (b) 0 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 4*h**5 + 5*h**4\/4 + h**3\/6 + 109*h - 96. Let z(g) be the first derivative of v(g). Find the third derivative of z(f) wrt f.\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 5*q**2 + 4*q**2 - 3*q**2 + q**2 + (-3*q - 2*q - 2*q)*(-3 + 3 - q) to d + k*q + p*q**2 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwwkk. What is prob of picking 2 w and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 68*f**2 + 156*f + 4. Let o be g(-7). Suppose 13*h - 9*h - o = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-1 - (-3)\/(-15)). Let p = -4 - q. Let l be 3*(1 - (-5)\/3). Solve 0 = -p*v + 6*v - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -41, -83, -145, -233, -353?\n\"Answer: -m**3 - m**2 - 18*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301765.\nAnswer: 5, 167, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 40414.2.\nAnswer: 444556.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6008620 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 5) to base 14\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*c + 62 = 0, 3*c + 0*c - 26 = p. Let j = 81 + p. Calculate the remainder when j is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 111343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47902 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 95 + 38. Let n be (0 - 0 - -1) + 2. Suppose -41 = -n*v + 187. What is the greatest common divisor of k and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 350*n. Let q(x) be the second derivative of 14*x - 6 + 0*x**2 + 1\/3*x**3. What is q(p(v))?\nAnswer: 700*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 678*p + 955*p + 886*p as s + h*p and give h.\nAnswer: 2519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 9*o + 9. Let a be f(6). Let q be 3*2*3\/a. Let h be q*-1*(-561)\/(-6). What is the highest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3516754.\nAnswer: 2, 59, 29803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*n*o - 62180*g**3 - 2*g**2*n**3 + 72*g*n**3 + g*n*o + 874*n**3 wrt g.\nAnswer: -12*g*n*o - 373080*g - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -493 + 494. Sort 0.5, k, -0.97, -1\/3 in decreasing order.\nAnswer: k, 0.5, -1\/3, -0.97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08653334 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75734 + 380344\/5. Let x = v - 26679\/80. Calculate the common denominator of 35\/66 - (-2)\/6 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 31. Factor 4\/5 - 2*r - 14\/5*r**z.\nAnswer: -2*(r + 1)*(7*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495955?\nAnswer: 5, 299191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 108164 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44563676 and 105164.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3*p**2 - 37*m**3*p*u + m**3*p + 274*m*p**2 - 1087*m*p*u + 12*m*u + 5*p**2*u + 2*p**2 wrt p?\nAnswer: 4*m**3 + 548*m + 10*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134862849, -134862848, -134862847, -134862846?\nAnswer: -134862845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 9*b + 6. Let s be i(-8). Let n = -9 + s. Let m(f) = -f**3 + 4*f**2 + 6*f + 12. What is the units digit of m(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8741130 to the power of 1\/2, to the nearest integer?\nAnswer: 2957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/890 and 87\/200.\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25176.1 + 25176. Put v, -2\/1055, 0.4 in descending order.\nAnswer: 0.4, -2\/1055, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269\/29 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*u - 390, 2*p - 16 = -5*u + 140. Calculate the highest common factor of 507 and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 5, 245, 16\/5, -0.04, -2\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:24 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1637 and -4.\nAnswer: -6548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3837, 3839, 3841?\n\"Answer: 2*r + 3835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.156 - 0.419. Let y = -1.075 - j. Which is the closest to 0? (a) y (b) -0.4 (c) -45 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.03, -2283, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 511658 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 179, 5, -0.3304.\nAnswer: -4, -0.3304, 5, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4\/15 (b) 0 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 832 and 20288.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.017 and -4879.\nAnswer: 82.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, v: 2, i: 2, c: 3, h: 1, d: 6}. What is prob of sequence hdv?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 u when three letters picked without replacement from {p: 2, y: 1, u: 3, h: 4, r: 9}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177010021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1066983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 656628 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-308)\/(-66))\/(2*2\/(-6)). Let p = 679\/45 + -134\/9. Which is the nearest to 0? (a) r (b) p (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/95 (b) 3\/11 (c) -1325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295995 is divided by 2295985?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let t(r) = 11*r**2 + 13*r - 7. Let w = 6 - 0. Let p(g) = w*d(g) + t(g). Let k(c) = 6*c**2 + 10*c - 4. Let u(h) = -7*k(h) + 4*p(h). Factor u(i).\nAnswer: 2*i*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224\/140)\/(7*2\/35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/9 and 5 + -4 + (-19)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**7\/2940 + s**6\/1260 - s**3 + 6*s. Let p(h) be the second derivative of z(h). Factor p(x).\nAnswer: -2*x**2*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/(3\/36). Let x = d + -3. Factor -3*c**3 + 0*c**3 + 6 + 0*c**3 + x*c - 4*c**2 - 2*c**2.\nAnswer: -3*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.3. Let z = -10.2222 + 7.2222. Which is the nearest to q? (a) -32 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/2 (b) 0.3 (c) -3\/4 (d) 0.36 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(-3 - 2*n + 3) + 2*n + 3*n + 0*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16297, 58489, 100681, 142873?\nAnswer: 185065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68283, -136569, -204855, -273141, -341427, -409713?\nAnswer: -477999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 12.71527 grams?\nAnswer: 0.00001271527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*k - 59346 = 19350 for k.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 3*l - 1. Let a be d(-2). List the prime factors of (-12)\/9*a*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-246)\/(-4) - 61)\/((-2)\/(-44))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 124*q**3\/3 + 10*q + 7819. Let a(v) = -v. Calculate w(a(x)).\nAnswer: 124*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t. Let g(m) be the second derivative of m**3\/3 + 11*m. Calculate 10*g(w) + 2*n(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 7:05 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057 + 195040?\nAnswer: 195039.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 18*g - 47. What is the remainder when r(5) is divided by 1\/(-1 - 6\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 50\/7, 0, -1\/6, 2\/9, -449 in decreasing order.\nAnswer: 50\/7, 2\/9, 0, -1\/6, -3, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.04, 0.25, -0.4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(13) + sqrt(13))*-3 - (-2 + (sqrt(468) + -1)**2).\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 4*y + 2 - 4*y)*((3 - 1 + 0)*(4 + 0 - 3) + 1 - 1 - 1 + 273 - 552 + 258 + 2 - 6 + 2) in the form f*y + u and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 288a86 (base 11) to base 15\nAnswer: 8da3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268, 181, -26, -359, -824?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 2412?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*k**4 - 36*k**4 + 27*k**4)*(0*k - 2*k + 3*k + (0 + 2 + 0)*(-1 + 1 - k) + 0 - k + 0 - k + 0*k - k).\nAnswer: -56*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2411651 (base 8) to base 16\nAnswer: -a13a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.99 - 0.01. Let k = 92.788 - -0.212. Let u = -93.2 + k. Is u less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgmfmzzof. What is prob of sequence ffod?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.418.\nAnswer: 0.1254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:10 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218\/621 + -10\/27. Let w = 12221\/414 + t. What is the common denominator of 55\/8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 + 11*c + 11. Let t(d) = -d - 4. Suppose l + 5 = -2*k + k, 3*k = -9. Let h be t(l). Let x(o) = -o**3 + 2*o + 2. Determine h*u(g) + 11*x(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.4. Let u = -39 + 38.8. Which is the nearest to u? (a) -0.04 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/571683 and 109\/1633380?\nAnswer: 11433660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0393 - -0.0607. What is the biggest value in -19.6, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*y + 20 = 0, 69*k + y = 67*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose 5*s - 1 - 40 = -4*t, 2*s - t - 6 = l. Suppose s*h = -k + 22, -4*h + 5 = 6*k - k. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -337?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 - 109*x - 177. Let u be y(-25). Calculate the greatest common factor of 4496 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let p(x) = -4*x. Let g be p(-2). Let t = g - 26. Let o(n) = -21*n. Calculate t*h(a) - o(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82432*n + 44429*n + 45194*n to s*n + z and give s.\nAnswer: 7191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80911192 is divided by 6742598.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v - 4. Let h be i(3). Let j(q) = 11*q + 1. Let s be j(1). Suppose 5*m + 3 = -s. Put m, h, 5 in descending order.\nAnswer: 5, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/11)\/(h\/(h**(-1\/3)*h))*(h*h*h**(-1\/2))**46 assuming h is positive.\nAnswer: h**(2272\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/37 - -17\/185. Let h = -6\/55 + 274\/495. Let y = 7 - 6.7. What is the third smallest value in y, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4486225, -8972489, -13458731, -17944939, -22431101, -26917205, -31403239, -35889191?\nAnswer: -40375049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -776*r**3 - 775*r**3 + 4*r**2 + 1552*r**3 - 12*r = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 659, 996, 1333, 1670?\nAnswer: 2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -13*x**6\/120 + 7*x**4\/24 + 2*x**2. Find the second derivative of o(n) wrt n.\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r. Let q(l) be the first derivative of -l**4\/12 + 17*l**2 + 4. Let o(p) be the second derivative of q(p). What is -6*f(a) + 22*o(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44701 divided by -66?\nAnswer: -44701\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9))**(-18))**(2\/9) assuming b is positive.\nAnswer: b**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.49335 and 0.03035.\nAnswer: 2.5237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3)*-3*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2315, 4627, 6939?\nAnswer: 9251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-50)\/(-4) - 4\/8. Which is smaller: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)\/(-1) - -3. Suppose 0 = -1180*h + 1175*h + 840. Suppose 0*s = -n*s + h. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-6) - 22\/(-44 + -22). Solve -10 = 12*v + z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*212\/(-16)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1302 and 83514.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -11*m**3 + 2*m**2 + 15*m - 21. Let c be b(2). Is -141\/2 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:55 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 13*s + 29. Let m be x(12). Let z = m - -30. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/11128 and 31\/32?\nAnswer: 44512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 3*x**2 - 3*x + 8. Give u(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 105?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42 - 39)\/(6\/22). Suppose -3*l = -w + 65 + h, -w + 4*l = -71. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*q**2 + 98*q**2 - 1 + 1.\nAnswer: 57*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a - 965 - 211. Let s = a + 52. Solve -5 = 3*j - 8*j - 2*f, 3*f - s = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/20 and (-8)\/480*(582\/(-4) - 0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 * -1001032\nAnswer: -31031992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*k + 62*k + 7*k)*(0*k**2 + 0*k**2 - 6*k**2).\nAnswer: -786*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 6*r + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -512231 + -1560?\nAnswer: -514121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 15*k - 22. Let d be c(-6). Let x be d\/(-7)*(-69)\/(-4). Let q(h) = 276 + 48*h - x. Let t(n) = 2*n**2. What is q(t(b))?\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44982 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -53*w**3 - 9*w**2 + 9*w + 9. Let i(g) = 27*g**3 + 4*g**2 - 4*g - 4. What is -9*i(z) - 4*p(z)?\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = 14*v - 312. Let h = -1 + 5. Calculate the highest common factor of v and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 9*a + 5. Let q be f(-10). Let i = 122 + -117. Sort 1, i, q.\nAnswer: q, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -2, -1\/4, -8\/371 in descending order.\nAnswer: 110, -8\/371, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 - 3*v - 5*v**2 + 3 + 3*v - 4*v**3 + 12*v**2 to i + x*v + h*v**2 + z*v**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**3 - 27*t**3 - 17*t**3 + (-1 + t**2 + 1)*(-1 + 1 + t) + 8*t**3 - 9*t**3 + 10*t**3 + (8 + 15 - 14)*(t - t**3 - t).\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(-5 + sqrt(5445)*3 - (sqrt(5445) + (sqrt(5445)*-4*1 - sqrt(5445)) + sqrt(5445)))**2 + 0.\nAnswer: -1980*sqrt(5) + 196048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from llnbullglu?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -150. Let i = 148 + u. Let h = i + -46. Sort 3\/4, h, 2.\nAnswer: h, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnen when four letters picked without replacement from wjtennhej?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -67\/3, -96\/19, -7\/4?\nAnswer: -96\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19954*z**4 + 54306*z**2 wrt z.\nAnswer: -478896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00104029 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 9*q - 60. Suppose 4*x - 30 = q. What is the highest common factor of x and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 4:08 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2559 + -2550. Which is the third smallest value? (a) n (b) 0 (c) -3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 1, -7, -106, -272, 0 in decreasing order.\nAnswer: 1, 0, -4, -5, -7, -106, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -5743?\nAnswer: -574.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 722996221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k**3*k)\/k))\/k)**(1\/8)\/(k**(-2\/11)\/k)**27 assuming k is positive.\nAnswer: k**(1393\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + y**2 + 2*y**5 - 2*y**3 - 2*y**5 + 2*y**3 + (0 - 2 + 1)*(4 - y**5 - 4) + 2 + 322*y**3 - 322*y**3 + 2*y**5.\nAnswer: 3*y**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/25 + 109\/75. Let y = -11.5 + 12. What is the smallest value in -0.4, s, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35716*t**3 - 178588*t**2 - 40*t = 0 for t.\nAnswer: -5, -2\/8929, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 1. Let d(a) = -3*a**2 - 4*a + 4. Suppose -3*i - u = 7, 4*i + u + 15 = -i. What is i*j(t) - d(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/21*36*(-42)\/72.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146431453983*o + 146431453983*o + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -355596 or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(60)\/sqrt(5))**2 + -6*2*sqrt(3).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -5 in ascending order.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j*j**(-4))))\/j*j*j)**(-26)\/((j\/j**22*j)\/(j*j\/j**(2\/3)*j*j*j)) assuming j is positive.\nAnswer: j**(151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-6)*c\/c**(-3\/4))\/((c**(-2\/17)*c)\/(c**16*c)) assuming c is positive.\nAnswer: c**(1691\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1564 - 1555. Let s be (22\/(-10) + -1)*-105. Suppose 13*t = w + k*t - s, 4*w - 1428 = -5*t. What is the greatest common factor of 44 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1302 = -4*f + 6*n - 1274, -18 = -2*f + 5*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6546 - 102692?\nAnswer: -96146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -2 (c) 25 (d) -1141 (e) 0.04 (f) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*p - 504 = -220*p. Let o = p - -194. Solve -2*k - 17 = 2*k + j, 4*k + o = 2*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26090\/9 + -130459\/45. What is the nearest to 0.08 in -0.3, -2\/5, 45, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5154871, -5154924, -5154979, -5155036, -5155095?\nAnswer: -5155156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 48773 (b) -0.6 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/2)*h)\/(h*h**(-1)*h)*(h**8*h)\/(h\/h**(-3)) assuming h is positive.\nAnswer: h**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbpe when four letters picked without replacement from pbppppbbpppppebppbpp.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(16)\/sqrt(32).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-9)\/((-63)\/14)))\/((-1)\/(-8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**3 + 6*s**2 + 4*s. Let t(k) = 11*k**3 - 13*k**2 - 9*k. Suppose -m - 20 = -6*m. Suppose -16*h = -15*h + m. Give h*t(c) - 9*l(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by 889.\nAnswer: 24\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - w + 1. Give h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859382909 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 2*p - 4*p + 0 + 7. Let s be j(6). Let n = s - -30. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*h**4 + 50462*h**2 + 1134431 wrt h?\nAnswer: 272*h**3 + 100924*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 5*s**3 + 5*s**2\/2 + 4*s - 10. What are the prime factors of x(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273295.\nAnswer: 5, 11, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.304949, -0.2, -2, -0.5?\nAnswer: 0.304949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/17 - 428*a\/17 + 2090\/17 = 0.\nAnswer: 5, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 15030?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 6:40 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17195090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.051, 0.4, 88, -2\/17 in descending order.\nAnswer: 88, 16, 0.4, 0.051, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5*-5 + 22. Is 4 a factor of 16\/r + 44\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) -0.2 (d) 2\/47 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 6*x - 4*x + 31*x - 10*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (1 + -10 + 3). Let q = -3 - -5. Suppose q*n - 6 = -0*v + 2*v, 0 = c*n - 5*v - 5. What is the smallest value in 2, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3245, 4792, 6339, 7886?\nAnswer: 9433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*f - 223*k + 226*k, 13 = -2*f + 5*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55905 (base 13) to base 6.\nAnswer: 3155020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -40. Suppose s*y + 8 - 200 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/2)\/(2\/4). Let c = -7 + s. Calculate the greatest common divisor of c and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 15*n + 408. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + j = 8*k - 12, 30 = 5*k - 5*j. What is the common denominator of (-2 - 135\/(-50))*(-2 + k) and 2\/(-5) - 324\/(-40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74375, -73104, -71833, -70562, -69291?\nAnswer: -68020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**6\/80 + 17*n**5\/240 - 9*n**4\/32 + n**3\/6 + 418*n**2. Factor s(l).\nAnswer: (l - 1)*(l + 4)*(6*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**5 - 10*p**4 + 45*p**3 + 10*p**2 - 40*p = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-2\/9)\/x)\/(x*x\/x**(-4\/15)))**(1\/37))**(17\/6))**(-20) assuming x is positive.\nAnswer: x**(5338\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*b**2*w + 66*b - 2*w + 2 wrt b.\nAnswer: -332*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*z + 19*z - 6*z - 5*z to s*z + x and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71334 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27210303 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 2*x, -3*n = 2*n + 3*x - 17. Let k be (-1 - 1)*16\/(-32). Which is the second biggest value? (a) k (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Let t(h) = 3*h + 4. What are the prime factors of t(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*1 + 3 - (1*sqrt(1008) + sqrt(1008)).\nAnswer: -23*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.6 - -2.4. Let g = -3 - c. Let y = 0.047 - 0.047. Sort y, 0.3, g.\nAnswer: y, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 17\/10883?\nAnswer: 17\/10883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/2 + -1. Suppose 170*q + 115 = -5 - 50. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15\/7 - -17\/21. What is the fourth biggest value in 2, -3\/2, w, 0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3\/3 - 132440*b**2\/3 + 3047732*b\/3 - 5566344 = 0. Calculate b.\nAnswer: -33133, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56887912 and 224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 774 divided by 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u, 0*s = 5*s + 4*u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -660992.964 rounded to the nearest 100?\nAnswer: -661000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15681 divided by 3\nAnswer: -5227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.2238548ns in weeks?\nAnswer: 0.000000000000245079125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20031023132 (base 4) to base 8\nAnswer: 10151336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9178, 36722, 82646, 146956, 229658?\nAnswer: 330758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23bca91 + -1?\nAnswer: -23bca92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 + -135. Sort y, 3, -5, -3 in increasing order.\nAnswer: -5, y, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 733 divide 125563307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 45377068?\nAnswer: 136131204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 6. Let f(l) = -5*l - 5. Let m(o) = 3*f(o) + 2*x(o). Let v be m(-2). Solve -r = -0*r - v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {i: 3, z: 4, q: 3, b: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**21\/(y\/y**(1\/29)) assuming y is positive.\nAnswer: y**(581\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0*n**4 + 2*n + 1\/25*n**6 + 0*n**3 + 0 + 0*n**2 - 1\/25*n**5 - 1\/105*n**7. Factor y(b).\nAnswer: -2*b**3*(b - 2)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1475*l + 2 - 2 + 5873*l as w + i*l and give i.\nAnswer: 7348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 15 - 2) + -4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, c: 3, u: 6}. What is prob of picking 3 n and 1 u?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -r + 20, 4*r - 5*n - 15 = 13. Let u be (156\/42)\/13 + (-24)\/(-14). Suppose 0*w - 2*p = -5*w + 12, 7 = 4*w + p. Solve r = -w*d - u*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2502595?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3580, 35, 5 in increasing order.\nAnswer: 5, 35, 3580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -29 (c) -8\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-15 + 22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -1. Let m(y) = 5*y**2 + 5*y - 5. Let z(u) = -u**2 - u + 1. Let t(x) = -6*m(x) - 33*z(x). Let o(k) = k**3 + k**2 + k - 1. Give l*t(w) + 3*o(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 2\/17 (c) 4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -0.301 (c) 2 (d) -0.5 (e) -2\/7 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15034562?\nAnswer: 2, 17, 442193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -963 + 983. What is the lowest common multiple of 1626 and z?\nAnswer: 16260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 222*l - 8. Determine c(74).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 11) to base 8.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 1218 = -1128 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112 (base 3) in base 8?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5 + 50*d**4 - 226*d**3 + 182*d**2 + 224*d - 232 = 0.\nAnswer: -29, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 + c?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26670.\nAnswer: 2, 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r**5 - 2*r**5 - 5*r**5 + (-2 - 2*r + 2)*(r**4 - 5*r**4 + 2*r**4) - r**3 + r**3 + 2*r**5 + 2*r**5 + 3*r**5 - 3*r**5 - 2*r**5 + 3*r**5 - 2*r**5.\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000580727 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 12:34 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 14*g - 9 = 13*g, 5*x = -2*g - 52. Let v be 45\/x*(-15 + 13). Solve 4*d - d = -v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4 + (-132)\/(-8). Suppose x = 2*p - 18. Let m be (12\/(-4))\/(6\/(-8)) + -4. Solve 4*j + 5*c - p = 0, -j + 4*c = 6 - m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 + -178742538.747.\nAnswer: -178742538.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**2 - 66*v - 38. Determine a(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -70. Differentiate -11 + 7*z**2 - s - 6092*z**3 + 6089*z**3 wrt z.\nAnswer: -9*z**2 + 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*r - 49, 447*f + 2*r - 46 = 449*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1 - 5 - 5 + 3 + (1 + 0 - 2)*(-4 - 2 + 5))*(-2*k**2 + 2*k**2 + 2*k**2).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337095*l - 593545 with respect to l.\nAnswer: -337095","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - 0.010369?\nAnswer: -0.020369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3562.599 years?\nAnswer: 3.562599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 7*g + 4. Let p be o(7). Suppose j - 10 = -3*y - p, -3*y + 6 = -j. Let q be 2*(15\/(-9))\/(-5). What is the third biggest value in q, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 6*j**2 - 3*j + 16. Let c be b(-5). Calculate the remainder when 97 is divided by 1001\/52 + c\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002338520957 rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 + 3527*q**4 - 3*q**3 + 10*q**2 - q - 235?\nAnswer: 120*q**2 + 84648*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26134 - -26142. Solve -n*q - 11 = p - 5*q, -1 = 5*p - 3*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + 2 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*g = -261*g + 323*g + 894 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 15*a - 12. Let c be v(-16). Suppose 53 = 3*t + c*g - 0*g, 95 = 5*t + 5*g. Solve 4*d + 3*n = 0, d - t = 5*n - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - 9*l**3 - 11*l + 0*l.\nAnswer: -9*l**3 - 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 - -212. What is the third derivative of 73*a - a**2 - g*a - 9*a**5 wrt a?\nAnswer: -540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*a + 0 + 2 - 36*a + 61*a - 30 + 14 + 13 - a + 0*a + 2*a + a + 2 - 2 + (-2*a - 2*a + 5*a)*(-3 + 4 - 3) + 0*a - 2*a + 0*a.\nAnswer: 39*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3423754 (base 8) to base 16.\nAnswer: e27ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -80*u - 251. Is m(-42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 590?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -604*t**2 - 4*t - 101. Let n(f) = 16*f + 4. Calculate z(n(o)).\nAnswer: -154624*o**2 - 77376*o - 9781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/3 + -13\/6. Let z = 81.5 + -160. Let v = z + 79. What is the smallest value in w, 0, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81748444 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 6*c**2 + 248*c - 3034. Determine w(10).\nAnswer: 2046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, e: 1, b: 1, i: 2, f: 1}. Give prob of sequence bfi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8689359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -12*d**5\/5 - 119*d**4\/4 + 4*d**3\/3 - 15*d**2\/2 - 3*d + 6002. What is the third derivative of i(b) wrt b?\nAnswer: -288*b - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6772\/6 - ((-578)\/51 + 12).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = 0, t + 2*s - 242 = s. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851.5322 centimeters to micrometers.\nAnswer: 8515322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 smaller than -3331395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.01401704?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 - 16*f + 15. Let s(h) = h**2 - 8*h + 7. Let y(l) = 4*l**2 - 40*l + 35. Let a(g) = -11*s(g) + 2*y(g). Let w(z) = 9*a(z) + 4*v(z). Give w(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*j**4 - j**3 + 180*j**2 + 11*j - 756631.\nAnswer: -1104*j**2 - 6*j + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - (-18 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*h + 39 = -1319 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -71*h - 244. Does 3 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30108723 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8506 - -9006. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16096?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, r: 1, z: 7, b: 1}. Give prob of picking 1 b and 3 z.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + y + 4 + 2*y**2 + 11 - 5 to s*y + d + r*y**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 20 = -4*y, 15*y - 10*y - z = 22. Sort -12, y, 4\/7, -4 in decreasing order.\nAnswer: y, 4\/7, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1754696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1496 (base 11) to base 14\nAnswer: -9b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000904 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34918208, 34918198, 34918188, 34918178, 34918168, 34918158?\n\"Answer: -10*j + 34918218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*s, -4*i - s + 96 = -23. Let g = 46 - i. Suppose -3*d + 24 = -21. What is the greatest common factor of g and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 4. Let h(k) = 3*k - 9. Let q(t) = -5*t + 16. Let g(c) = -7*h(c) - 4*q(c). Determine -2*g(m) + v(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -489*g**4 - 45*g**2 - 16929 wrt g?\nAnswer: -1956*g**3 - 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2347*b*f*h - 45*b*h**2 + 4*b*h - 883*f*h**3 + h**3 + 2*h**2 + 57 wrt f.\nAnswer: 2347*b*h - 883*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 568, 1116, 1664?\n\"Answer: 548*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -617*m**5 + 32*m**2*p - 6*m*p + 7*m + 26*p - 2 wrt m?\nAnswer: -12340*m**3 + 64*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182936 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, b: 7, x: 7}. Give prob of sequence aax.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -44*d - 74. Let b be c(14). Is ((-3)\/2)\/(3\/b) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -1.818, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -18, 0.1, -0.61 in increasing order.\nAnswer: -18, -0.61, 0.1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*j = 267, -5*o + j - 4*j + 246 = 0. Suppose 4*c + 0*c + m = 107, 2*c = -m + o. Let k be 7\/c - 1\/4. Solve -5*a + 14 + 1 = k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:51 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15849 and 1686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a - 17. Let d be c(-5). Suppose -2 = -g, 3 = 5*k - 2*g - 23. Let r = k - d. Solve -r*t = -12, -3*t - 2 = 2*o - t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3*-6)\/4*4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*t - 7*t. Suppose -m = f + t*m - 30, -4*f + 4*m + 40 = 0. Calculate the greatest common divisor of f and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99489006 and 6858?\nAnswer: 99489006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6238 (base 11) in base 12?\nAnswer: -4951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1029, -1030, -1031, -1032, -1033?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0981*-137\nAnswer: 13.4397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {f: 1, i: 1, x: 1, g: 2, q: 1, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33226 is divided by 96?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 16.\nAnswer: -7, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 481*g**2 + 70*g - 2 wrt g.\nAnswer: 962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -3, 5, 1, 6, 21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*u + 38 - 33, 27 = 4*f + 5*u for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 531\/45 + (-8)\/40*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 4:02 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -2*h**7\/105 + h**6\/10 + h**2 - 3*h. Factor g(p).\nAnswer: -4*p**3*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**2 - 635*j - 640 = 0.\nAnswer: -1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 17. Let r be i(-9). Which is the nearest to r? (a) 4 (b) 1\/9 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124367.011 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -382 + 8. Let z = -314 - g. What is the lowest common multiple of z and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22245 + -19359. What is the remainder when s is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2. Let n(q) = -299536*q**2. Determine z(n(p)).\nAnswer: 448609076480*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 909 and 11481.\nAnswer: 3478743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1078097 and 1078098 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4335326 is divided by 137.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 6513.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = 3*n + 22, -4 = -4*a + 3*n. Let k(y) = -905*y**3 - 7*y**2 - 10*y + 3. Is k(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 2. Let q(u) = u**2 - 1. Determine h(s) - 2*q(s).\nAnswer: -2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1065.6 times -197\nAnswer: -209923.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3044516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -109 - 1a8d?\nAnswer: -1b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*t, 2*l = t + 3*t + 18. Solve -4*r + 7 = -3*k - 0*k, 0 = -l*r - 3*k - 21 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 34 + -84 + 13.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003477 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 507 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -391643*t**2\/10 + 1879886*t + 96\/5 = 0. What is t?\nAnswer: -4\/391643, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 45912*u + 175659312.\nAnswer: 3*(u + 7652)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.1, -5, 2\/9, 44 in descending order.\nAnswer: 44, 1\/4, 2\/9, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31214211 (base 5) to base 15.\nAnswer: -51421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 64 - 1 - ((27 - 4) + -15 + -25 + 10)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18287296 divided by 2608\nAnswer: 7012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 - 2*y + 929. Let l(u) = -5*u. Calculate s(l(r)).\nAnswer: 75*r**2 + 10*r + 929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-339*u + 421*u - 643*u)*(-u**2 - u + 0*u**2 - u).\nAnswer: 561*u**3 + 1122*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2293, 2622, 2985, 3382, 3813?\nAnswer: 4278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -a95?\nAnswer: a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdz when three letters picked without replacement from {z: 2, s: 2, x: 1, w: 1, d: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129980854 to the nearest integer?\nAnswer: 11401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 + -0.1. What is the third smallest value in n, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2710161 - 536?\nAnswer: 2708524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + k - 4*k**2 + 9 + 0*k**2 + 2*k**2 - 3. Let j(w) = -14*w**2 + 3*w + 17. Calculate 8*d(l) - 3*j(l).\nAnswer: 2*l**2 - l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 377.2689 litres?\nAnswer: 377268.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + n**3 - 3*n**3 + (-5*n + 2*n + 5*n)*(4*n**2 - 3*n**2 + n**2) + (5*n - 2*n - n)*(-20*n + 4*n**2 + 20*n) + 0*n**3 + 4*n**3 - n**3.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/7, 1\/2, -16?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 2:32 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 8202?\nAnswer: 57414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 50 - 10. Let j = 23 - 20. Let t be 5*(-14)\/105 + b\/j. Solve -3 = -m + t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3502 and -347.481.\nAnswer: 3154.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-2 - (20 - 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 101215416?\nAnswer: -101215414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 59*t + 2680 = 0. Let s be 512 + 0 - 67\/t. What is the greatest common divisor of 57 and s?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*d**3 + 22 - 1516*d**2 + 31 + 1516*d**2 with respect to d.\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3 - 13. Suppose -g*v + 6*v - 76 = 0. Suppose 0 = 4*z - v - 49. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7866\/(-184))\/171*(-4)\/(32\/(-6)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -106167 + 330567. Round k to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 66*h - 18. Let v(g) = 7*g - 2. Let d(w) = -f(w) + 9*v(w). Let l(a) = -a**2 + 96*a. Determine d(l(b)).\nAnswer: 3*b**2 - 288*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -39*r**2\/2 - 81*r + 112. What are the prime factors of d(-10)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*l - 6, 2*g - 7*l + 2*l - 15 = 0. Let k(r) = 2*r**2 - 2*r + 224. List the prime factors of k(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**3*v**2 + 5295*r**3 - 84*r**2*v**2 - 45*r*v**2 wrt r.\nAnswer: -12*v**2 + 31770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 266*m**3\/3 - 1870*m**2 - 6408*m.\nAnswer: 2*m*(m + 3)*(133*m - 3204)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/((-840)\/(-70)))\/((-2)\/41*(-9)\/18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**(8\/7)\/(n*n\/(n*(n\/((n\/(n\/n**(-1\/5)))\/n))\/n*n))**(-2\/7) assuming n is positive.\nAnswer: n**(188\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = u - 1082. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34763877301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.5061 minutes in microseconds?\nAnswer: 18870366000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3486 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(225)*3 - sqrt(225) - (sqrt(225) + (sqrt(225) - sqrt(225)*-2*2)))\/((-1*sqrt(12) + (sqrt(3) - 2*sqrt(243)))*6).\nAnswer: 5*sqrt(3)\/114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 42 + 9628*k**2 - 9644*k**2.\nAnswer: -16*k**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -295*g**4 + 293*g**4 + 2 - 20*g - 4*g in the form k*g + b*g**2 + i + w*g**4 + r*g**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*(-1)\/(-24)*(-32)\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 24. Let j be q(-7). Suppose n = -5*p + 23, -j*p + 8 - 5 = -3*n. Solve 5*v - 6 = n*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(12\/13))\/(57\/(-171))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1787922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4948 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.15929 and -153?\nAnswer: 152.84071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*a + 3)*(1 - 921*a**2 + 204*a**2 - 726*a**2 - a**4).\nAnswer: -3*a**5 - 4329*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.8 minus 12.2?\nAnswer: 142.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*t + 37*t - 15*t)*(-6*t + 3*t + t) as y*t**2 + k + g*t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.051 times 9657202\nAnswer: 492517.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 8*l + 8*l + 4*l - 2*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6376 divided by -110.\nAnswer: -3188\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62558 * -36.\nAnswer: 2252088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.24468nm in millimeters?\nAnswer: 0.00007924468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 2 - 0) + 2. Suppose -2*i - m - 2 = 0. Suppose 4*l = -2*f - 26, -2*l = 3*f - l + 19. Sort i, f, 1 in ascending order.\nAnswer: f, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 17.9. Is f < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122035539 and 3174?\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41656626 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 8. Let m be 1\/((-5)\/(-6))*-5. Let u be y(m). Is 12 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59332.\nAnswer: 2, 7, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 174165, 174178, 174191?\n\"Answer: 13*n + 174152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 456, 0.3, -33 in increasing order.\nAnswer: -33, 0.3, 0.7, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 0.01 (c) -4 (d) -9 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*z**2 + 3987*z**2 - 1332*z**2 - 1324*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1242 by -414.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 855, 1874, 3295?\nAnswer: 5118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(693))\/sqrt(11) - (((sqrt(315)*-2)\/sqrt(5))**2 + sqrt(189)\/(sqrt(12)\/sqrt(4))).\nAnswer: -252 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/159*(-2)\/((-44)\/6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9ec3d4 (base 16) to base 3\nAnswer: -201120121201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 101*p**3 - 391*p**3 + 0*p**2.\nAnswer: -290*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 8*r + 5*r + 2)*(-4*r**3 - 4*r + 4*r) - 4*r + 4*r + r**4.\nAnswer: -63*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.194 + 1.144. What is the second smallest value in -2, v, 6, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3554997 to the power of 1\/2, to the nearest integer?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:16 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a - 274. Let q be b(-24). What is the third derivative of 2*n - 159*n**4 + 134971 - 134971 + q*n**2 wrt n?\nAnswer: -3816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 - 3*c**2 + 7. Let k(a) = 21*a**3 - 14*a**2 + 38. Let x(n) = -2*k(n) + 11*q(n). Let u(r) = -r**3 - r**2 - 1. Determine -u(b) + x(b).\nAnswer: 3*b**3 - 4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 5) in base 10?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {d: 1, j: 1, v: 2, n: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/2, 2.3935?\nAnswer: 2.3935","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/9 - 2590\/(-15). Let g = 120 - k. Let c = -34 - g. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -t + 5*f, -18*t = -14*t - 2*f - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6484 - 5?\nAnswer: 6479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3*(-5 + (0 + sqrt(567) - sqrt(567))**2) + (2*sqrt(567)*5 - (-2*sqrt(567)*2 + sqrt(567)))).\nAnswer: -60 + 468*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*y - 13 = 0, 3*p = 2*p - 5*y + 21. Let i(t) = t**3 + 5*t**2 + 3*t - 1. Let b be i(p). Let k = 3 + b. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 671.2856 micrometers?\nAnswer: 671285.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*y**2 - 2*y**3 + 829 - 829)*(1 - 1 - y) to a + f*y + u*y**3 + v*y**2 + w*y**4 and give u.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/4 + 0 + -1. Let u(c) = -c**2 - 7*c + 34. Let z be u(-10). Let n be ((-6)\/(-8) + -1)\/(20\/80). Sort 5, z, n, v in descending order.\nAnswer: 5, z, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z + 12 = 0. Let a = 16 + z. Suppose -3*p + 8*p = 4*l + 47, -3*p + 12 = 3*l. Sort p, a, -5.\nAnswer: -5, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -60.1. Let f = 5.1 + -5. Sort j, -0.4, f.\nAnswer: -0.4, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 92*r - 809. Calculate g(11).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137.8 - -138. Which is the nearest to 10? (a) k (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 15) to base 5.\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3025284 by 12.\nAnswer: 252107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6127961 divided by -30187\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 18 = -o + 10, 3*l + 68 = 5*o. Suppose 4*h + 0*h = o. Suppose -h*i = i. Solve -5*m - 3*a + 15 = 0, -4*m + 12 = -a - i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1111167 and 15556338.\nAnswer: 15556338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 12 = 0. Suppose -v - s*c = 8, 13 = v - 2*c + 3. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232661463 divided by 232661463.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsxhwzn. Give prob of picking 1 x, 1 z, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.25 (b) -190\/3 (c) 5 (d) -0.3 (e) -1\/2 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101726*z - 378 = -101705*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 12. Suppose 57 + 111 = i*p. Suppose -4*h + 2*h = -d - 32, -3*d = -3*h + p. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 + 2303*x**2\/3 - 1320176*x\/3 - 6658580\/3.\nAnswer: -(x - 1154)**2*(x + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.02 + 10.72. Which is the biggest value? (a) y (b) -0.4 (c) 3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + b + 15 = -0*q, -q = 2*b + 16. Suppose -3*f + 9*t = 4*t - 160, 25 = f + 4*t. Let i = q + f. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20541 - -20538. What is the closest to 1\/2 in 5\/2, v, -0.1, 14\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 9*r**2 + 11*r + 7. Suppose 4*y - 4*b = -44, 4*y + 589 - 545 = 5*b. Let a(u) = 2*u**3 - 5*u**2 + 6*u + 4. What is y*a(j) + 6*g(j)?\nAnswer: -4*j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.36457ml in litres?\nAnswer: 0.00736457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.2, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + -23. Let h = -31.667 - -1.487. Let g = h - o. Round g to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 + 14*y + y**2 - y**3 + 218 - 4*y**2 - 105 + 6*y**3 in the form l + p*y + h*y**2 + v*y**3 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201 - 28. Suppose -3*q + 94 = -z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 32*u + 3. Let i(k) = -21*k + 262. Let b(o) = 21*o - 350. Let q(y) = -3*b(y) - 4*i(y). Give 8*q(s) - 5*t(s).\nAnswer: 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233 + -233. Let r be (-350)\/(-245) - 1*(w - -2). Which is the third biggest value? (a) -2\/9 (b) -1 (c) 2\/45 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 0*y**3 - 4*y**3 + 2*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -10. Let m = v + -4. Put -3, m, 3 in decreasing order.\nAnswer: 3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.9 + 0.9. Let r = 10 + i. What is the nearest to -2 in 2, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*y - 280. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 721530 by -1.\nAnswer: -721530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((sqrt(99) + 4 + sqrt(99))*-2)**2 - 6*(sqrt(99) + 1)**2))*-2 + 5.\nAnswer: -2089 - 312*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 + 0*c**4 + 7*c - 10*c - 1 + 4*c + 9*c**3 - 10*c**3 to j + h*c**3 + z*c**2 + b*c + w*c**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14210907, -14210906, -14210905, -14210904, -14210903?\n\"Answer: c - 14210908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7743469313?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33651391847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lldlllll. What is prob of picking 1 d and 3 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -105*c. Let m = 2 - 3. Let u be j(m). Let q(h) = 16*h - 1. Let i be q(1). Calculate the highest common factor of u and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4981 is divided by 239?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 3 + 0*j**3 - 7*j**3 + 250*j**2 + 250*j**2 - 501*j**2.\nAnswer: -7*j**3 - j**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386723817 - 30*v**3 - 386723817 + 24*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010 - 10111000111100?\nAnswer: -10110101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -f - 2*f + 4*l, -1 = 3*f - l. Let k(c) = -c**2 + 2*c - 2. Let z(b) = -b**2 + 2*b - 2. Let w(g) = f*k(g) + 3*z(g). Let p be w(2). Sort p, -3, 2.\nAnswer: -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73408 and 23680?\nAnswer: 734080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 282416921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (25\/45)\/(4\/(-16)) + 2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/7 - 260450*i**4\/7 - 2083472*i**3\/7 = 0.\nAnswer: -130217, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 97542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -4222.\nAnswer: -126.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sbcc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 282958 and 2793.\nAnswer: 790301694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -105, 2, 0.3 in ascending order.\nAnswer: -105, -2, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 774338.876 rounded to the nearest ten thousand?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164 divided by 6?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109626427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 33373366?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/4 - 71239*c**2\/4 - 71245*c\/2 + 142482 = 0.\nAnswer: -4, 2, 71241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -8. Suppose 124 = 3*j + 49. What is the remainder when j is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (87849\/390440)\/(15\/(-32))\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30810351, 30810352, 30810353, 30810354, 30810355, 30810356?\n\"Answer: i + 30810350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 + 68958*x + 1033695 = 0. What is x?\nAnswer: -22971, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*w**3*z**2 + b**2*w**2*z - 3350*b**2 - 2*b*w**3*z**2 + b*w**3*z + 3*w**3 - w**2 + 121*z**2 wrt b.\nAnswer: 4*w**3*z**2 + 2*w**2*z - 6700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2. Let a(z) = -8*z**2 - 4. Let h(m) = 2*a(m) - 4*g(m). Let r(j) = j. Calculate r(h(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 905717551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010110 + 101110?\nAnswer: 1111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4024 is divided by 1310?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - -7 - (-9)\/4. Suppose -5*h - 4*g + 665 = -933, -5*h = -5*g - 1580. Let t = h + -316. Which is bigger: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.040335 minutes?\nAnswer: 542420100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -60, -480, -886, -1272, -1632, -1960, -2250?\n\"Answer: k**3 + k**2 - 430*k + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(-16 + 5 + 1)*(-5 + 6 + 2)*(9*q - 1 + 1) as n*q + g and give n.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.173541 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-378)\/112 - (-3)\/8. Let a be -220*(600\/o)\/(-2). Round a to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2. Let l(x) = 116*x**2. What is l(d(z))?\nAnswer: 464*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 56 - 97) + 1\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*c - 9*t + 4*t, -t = 2*c - 36. Calculate the remainder when 665 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13136683\/11 - -1194245. Find z such that -2*z**2 + 8\/11*z**3 + 0 + l*z + 2\/11*z**4 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5473633 - 0.5.\nAnswer: -5473633.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 18*i + 43. Let u be z(-20). Suppose 0 = 4*q - 3*a + 5, 0 = -0*q - q + u*a + 1. List the prime factors of 2*q\/8 - 436\/(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 2, g: 9, y: 1, n: 5}. What is prob of picking 2 n?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-2) - (-138)\/115*15\/(-6). Which is smaller: -1\/14715 or c?\nAnswer: -1\/14715","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/11))**50*(k\/k**(-31)*k)\/k**(3\/19) assuming k is positive.\nAnswer: k**(4014\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 636\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(21\/(-6) - -1). Let w = 2580.4 - 2580. What is the closest to c in 1, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 25*j**2 - 18*j + 41. Suppose -d + t + 22 = 0, 4*d - t = 13 + 87. List the prime factors of a(d).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 133. Let w be (-1)\/2 + (-114)\/(-4). Let i = w - x. What is the highest common divisor of i and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p\/p**(-14\/3)*p*p))*p\/(p*p\/p**2*p)*p assuming p is positive.\nAnswer: p**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 878025 by -4.\nAnswer: -878025\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 11*s**2 + 17*s + 33. Let z be h(-9). Suppose -3*w = 3*m - z, 0*w = -m + 2*w + 8. Solve -5*u = -2 + m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3277508 from -145.\nAnswer: -3277653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/27 (b) 0.1085 (c) -3\/5 (d) -1\/8 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 + 2*p - 7. Let v be m(-3). Let c = -20 - v. Solve -6*r + 3*r + c = -4*o, 4 = -2*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**4\/24 - 156*s**2 + 2. Let f(z) be the second derivative of z**4\/4 + 11*z**3\/6 + z. Calculate f(y(g)).\nAnswer: 3*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus 0.22?\nAnswer: 8.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*-1*((2*sqrt(119)*3)\/((-1*sqrt(77))\/sqrt(11)))**2.\nAnswer: -5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -291*m + 468. Is f(-43) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*n**3 + 215*n**2 - 215*n**2)*(-n**2 + 10 - 10) - n**4 + n**5 + n**4.\nAnswer: 69*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 10:07 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Let m = -13 - -4. Let q = 14 + m. What is the third smallest value in -0.4, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 80. Is 13 a factor of k\/3*3 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*a**4\/7 + 1056*a**3\/7 + 9090*a**2\/7.\nAnswer: 6*a**2*(a + 15)*(5*a + 101)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 10*h + 4. Give b(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -242 + -1146a5a?\nAnswer: -11471a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510 and 1530?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.070406 decades in centuries?\nAnswer: 0.8070406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4240145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8\/32 + (-33 - -2))*80\/(-60)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2 - 14*q + 4. Let b(a) = -8*a**2 + 15*a - 5. Give -4*b(f) - 5*t(f).\nAnswer: -3*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2255406 (base 7) to base 10.\nAnswer: -282834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iipiiiiiipipii. Give prob of picking 1 i and 1 p.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090 < 3092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10402528*c**3 - 2658465.\nAnswer: -31207584*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2053 in 34, 0, -2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45128 is divided by 66.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 0 + 1*-1. Let g = -195.3 - -195.6. Which is the smallest value? (a) 3 (b) 0.1 (c) g (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115698376 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*u**2 + 30*u - 5.\nAnswer: -5*(u - 1)*(5*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1023663 - -1?\nAnswer: 1023664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 5*c**2 - 2*c - 3. Let d(v) = v - 1 - 3 - 1. Let f be d(0). List the prime factors of n(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-one halves of a day?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.31 - 0.01. Let y = 0 + x. Suppose 8*g + 1 = 7*g. Sort g, -2, y in descending order.\nAnswer: y, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9623? (a) 4 (b) 2\/7 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*n + 109510 + 211940. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3. Let b(y) = -4*y**3 - 3*y - 19. Let x(m) = b(m) - 6*v(m). Find the first derivative of x(a) wrt a.\nAnswer: 6*a**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c3138b - -2?\nAnswer: -1c31389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 - 411*b - 4586. What is p(-11)?\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-225)*3)\/(12\/30)*35?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*-211485.\nAnswer: 7613460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9719737l to millilitres.\nAnswer: 971.9737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 5*x + 177 - 241 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*q - 79*q - 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*s**4 - 3 + (-2*s**3 - 4*s**3 + 4*s**3)*(-2*s + 4*s - s) - 4*s**4 + 7*s**4 + s**4.\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 3*j**4\/4 - j**2\/2 + j. Let u(g) = -2*g + 1. Let y be u(1). What is the units digit of k(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-24) - ((-4)\/(-6) + -1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2 = -5*c, 4*r - 4*c + 4 + 4 = 0. Let j = -2 - r. Let t(m) = -4*m + 9. Let u be t(j). Solve -u = 4*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.4. Let m = j - -0.7. Let l = m - 1.5. Put 0.3, l, 2\/5 in ascending order.\nAnswer: l, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9948.0000006323 + 9948. What is v rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9066817 a multiple of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, 8, 1\/22, 2\/3?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 141.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**6\/36 + 67*b**5\/30 - 65*b**4\/8 + 193*b**3\/18 - 16*b**2\/3 + 375. Let z(h) = 0. Calculate h.\nAnswer: 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = b + 2*z - 14, 4*b + 3*z - 23 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + c)*(-2*c - 2*c + 5*c) + c**2 - 8*c**2 - 23*c + 21*c in the form o + x*c**2 + w*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*f - 1 + 14*f**3 + 2*f**3 + 0 - 33*f.\nAnswer: 16*f**3 + 122*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -32. Suppose j + 9 = r - 2*r, 18 = -p*j + 2*r. Let b be j\/(-2) + -1 + 5. Solve -4*l - 3 = -b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2947*c = -2936*c - 5764. List the prime factors of c.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162023, 162343, 162875, 163619?\nAnswer: 164575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/44*2\/(-15))\/((-39)\/1430)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158864\/21 + 7567. What is the common denominator of -76\/9 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 22*b - 29. Calculate z(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -7.5. Let z = a - 3. What is the second biggest value in -0.5, z, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5 or 2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.8 - 11.8. Which is the closest to n? (a) 7 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26923 + 39035. Is (-2)\/17 - (l\/34)\/(-2) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x - 94. Let a be m(34). Let c(h) = h + 1. Let t be c(2). Find the second derivative of 5*v + 20*v - 8*v**t - a*v wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 56?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1276 = -3796. Suppose -3*m + 417 - 76 = -5*u, -w = -5*m - 4*u. Suppose -3*r = -64 - m. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Let u be (-1 - 1)\/((-2)\/(-5)). Let n = 40 + -36. Let i be 2 + (-4)\/(0 - n). Let q(p) = -7*p. Calculate i*q(d) + u*b(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004178745 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (62 - (121 + 81))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 1)*(-5 + 5 - 2)*(449 + 393 - 1684 + 592 + 16*k).\nAnswer: -160*k + 2500","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125707570*c**2*w**2 + 4*c*w**2 + 5*c*w + 3*w**2 + 9932 wrt c.\nAnswer: 251415140*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 104*a + 2474. Calculate q(-67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, e: 7, b: 4}. Give prob of picking 3 e and 1 b.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 u when three letters picked without replacement from uuerurerr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -438668210*b**2*h**2 + 32*b**2 - 16*b - 11148 with respect to h.\nAnswer: -877336420*b**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1689*i + 1497*i + 6445*i = -2828*i - 635409 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 727008 or 727006?\nAnswer: 727006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21147?\nAnswer: 3, 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14883 + 2?\nAnswer: -14881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -389971*z**6 - 45885*z**2 wrt z?\nAnswer: -46796520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 - 2*s - 2. Let f be j(-3). Let m = -10 + f. What is the second derivative of -37*l**2 + 69*l**2 - m*l**2 + 11*l wrt l?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2629 - -3792. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 44 - 16 = 0. Let h be (q\/(-21))\/(2\/(-9)). Put h, 2, -1 in decreasing order.\nAnswer: h, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 218396 and 4614.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(0*w + w - 2*w) - 6*w + 4*w + 4*w + (3*w - w + 0*w)*(2 + 0 + 0) - w + 2*w + w + 13*w + 4 + 1 - 8.\nAnswer: 24*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13416, 0, -35, 2, 2\/17, 5, -4\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7567308 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2165 + -2253.7. Let x = -80.7 - l. Which is the second smallest value? (a) -3\/4 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.75257 days to hours.\nAnswer: 714.06168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(272) + sqrt(272) + (-3 + (sqrt(272) - (1 + sqrt(272))))**2 - (sqrt(1088) - (sqrt(1088) + (-2 + sqrt(1088))*1 + sqrt(1088)))**2)*-6.\nAnswer: -78120 + 1296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296)*2)\/(sqrt(48)*-4))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/((l**(-13)\/l)\/l))\/(l*l\/(((l\/l**(-2\/3))\/l)\/l*l)))**(-8\/5))**(5\/2) assuming l is positive.\nAnswer: l**(-200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/537 and -32\/4707.\nAnswer: 842553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 3, u: 3}. Give prob of picking 2 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 7 = 5*y + o, 3*y - 1 = 2*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -363, -372, -393, -432, -495, -588, -717?\n\"Answer: -d**3 - 2*d - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 171\/(-76)*16\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1906c - -82?\nAnswer: 190ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (11 + -3 + -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-9) + -1 + 288\/432.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 23*g**3 + 31*g**3 + 6*g**3 - 8*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -4, -0.2, -1\/7, -2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = w + 4*w + 4*y, -62 = -4*w - 3*y. Suppose 5*x = w + 421. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30313111333 (base 4) to base 10\nAnswer: -3372415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*q - 29*q - 32*q - 25*q - 25*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69.6 + -74. Let l = -4.9 - z. What is the nearest to 0.1 in -4, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3*4\/18)\/((-2)\/30))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -61. What is the highest common divisor of f and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.07, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-68) - (-1795)\/204 and 7\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3324 divided by 554?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-945)*(-3)\/(-4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgrvgvrkgagavavvgvvv. Give prob of sequence rgw.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 849486 to the power of 1\/2, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 - 5*s**2 - 2*s - 7. Let p be (-14 - -5 - -12)\/((-3)\/4). Let a(u) = -2*u**3 + 3*u**2 + u + 4. Give p*z(t) - 7*a(t).\nAnswer: 2*t**3 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2776, 5522, 8268, 11014, 13760, 16506?\nAnswer: 19252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2614, -5272, -7930, -10588, -13246?\nAnswer: -15904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3972183505 to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/7)*i*((i\/((i**(4\/3)\/i)\/i))\/i)\/i)\/(i*i**(-1)\/i*i**(-2\/7)\/i))\/((i\/(i*i**0))**(-1\/74)*((i**(-1)*i)\/i)**(-3\/28)) assuming i is positive.\nAnswer: i**(299\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-8))*u*u**(-4\/5)\/u*u)\/((u\/u**(-3\/2)*u)\/(u\/(u*u**(-22)))) assuming u is positive.\nAnswer: u**(107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - k - 1. Give l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71897804 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*l + 2, -4*l - 2 = 3*g - 2*l. Let d be 4\/(g + (-44)\/(-20)). Let f be -4 + (6 - -2) + d. Calculate the greatest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25061395?\nAnswer: 5, 37, 135467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -17.8. What is r rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93806 divided by -89\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 196 * -21.52.\nAnswer: -4217.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*h - 2. Suppose -4*l + 2*l = -12. Suppose -5*v - h*b = 1 - l, 0 = -3*v + b + 14. Do 3 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5185*d = 6022 - 37132 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = 6*s - 1250. Let o = -88 + s. Suppose -o = -12*l + 8*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36382 by 10.\nAnswer: -18191\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + y. Determine c(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 84168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2 - 1 - 2). Let r = 5.4 + -5. Suppose -4*m + 9 + 11 = 0. What is the nearest to k in r, m, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + y + 1267. Let i be u(0). Suppose -8*t = -15*t + i. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**8*o)\/(o**12*o))**(-36) assuming o is positive.\nAnswer: o**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15980?\nAnswer: 2, 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505 - 505 + 95*j - 64*j.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - f**4 + f**4 + (-f**2 + 5*f**2 - 3*f**2)*(4*f**3 - f**3 - 2*f**3) + f**5 + 0*f**5 + f**5 - 8*f**3 + 8*f**3 - 5*f**5 - f**5 + 1 - 1.\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 63\/18)*20\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppz when three letters picked without replacement from {p: 6, z: 6, k: 6, w: 1}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 408627528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 2*w - 4. Let x = -11 - -15. Let m be h(x). Let o be 0*(18\/(-4) + m). Solve -l = -f - 0*f + 8, o = 2*f + 2*l + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 3. Let c be j(9). Suppose -15*q + 117 = -c*q. Calculate the highest common factor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -41*t**3\/6 + 176*t. Let b(p) = -15*p**2. Calculate c(b(s)).\nAnswer: 615*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = -4*h + 6, h + 5*c = -8. Solve h*z + 1 = -5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-88)*28 + -2086. Round w to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**3)**26\/(u**(-1\/2)*u*u\/(u\/((u*u**14)\/u))))**(-3\/5))**(-25) assuming u is positive.\nAnswer: u**(2685\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 8*b - 5. Let d be (-6)\/(2*(-2)\/6). Is r(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2286962273 to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, w: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 8*p + 59*p.\nAnswer: 77*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o. Let l(j) = -12*j**2 - 2*j + 9. Let q(k) = -7*k**2 - k + 4. Let v be 7\/(28\/(-12))*3. Let x(n) = v*q(n) + 4*l(n). Give x(m(s)).\nAnswer: 135*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 12*m + 24. Let y be a(10). What is the remainder when (y - (-7)\/(-2)) + (-156)\/(-8) is divided by 4 - (2 - 18\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 24 = 4*w, -9*w = -5*w + 8. Solve 43 = -k*s + 51 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = 4*g, -3*p - 4*g + 22 = 6. Let o be (18 - (-2701)\/(-148))*16\/(-3). Factor -16\/3*i**2 + 0*i**3 + o*i**4 + 0 + p*i.\nAnswer: 4*i**2*(i - 2)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14697 and 13662.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c*c*c*(c*c\/(c\/((c**(7\/4)*c)\/c)))\/c*c)*c*(c\/(c\/c**(3\/10)))\/c assuming c is positive.\nAnswer: c**(-109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4607111827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggyyy. What is prob of picking 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -235*a - 6. Let t be o(-6). Let f be (0 + 1)\/((-6)\/t). Let v = -93 - f. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 317433 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/50 - 1\/25. Suppose -6*l + 0*l = -18. Suppose 0 = -5*n + l*n. What is the closest to y in n, 0.5, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3178 is divided by 105?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1990 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -90976073.2 rounded to the nearest one hundred thousand?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 17 = 3*h - 2*y, h + y = 12 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 795071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (23 - 13) + -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24419050 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-98)\/(-245)*20\/(-4). Let m be 2\/(-3)*1\/(-4). Which is the third biggest value? (a) -18 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, g: 5, t: 1}. Give prob of picking 1 c and 2 g.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.7643 from -0.5.\nAnswer: 2.2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 290824 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 27748?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/485915 and -103\/4710.\nAnswer: 2915490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4.6. Let y = -0.4 + 0.2. Let k = c + y. What is the third smallest value in k, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/5 + 30*h**3 - 1288*h**2\/5 + 3288*h\/5 - 2656\/5 = 0. Calculate h.\nAnswer: -83, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43826 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 449 + -440. Solve 2*j - f = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lawlllcala. Give prob of picking 2 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 8, d: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(405)*2.\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.197 - 0.247. Suppose 2*x = -3 - 5. Let q be 0\/x - (-2)\/5. What is the smallest value in g, 1\/9, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-30)*2*-5. Let f be 3\/6*(-10 + 8). Let x be f*3*l\/(-9). Solve 3*w - x = -16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14*r + 40. Let c be i(-2). Suppose -c*o = -16*o + 12. Solve 0 = -o*l - l + 4*j + 28, -16 = -l + 4*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 256, 4, 0.1 in decreasing order.\nAnswer: 256, 4, 0.1, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3629 = 2808*r - 51365 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 883.628 + -886. Let g = j - -2.2683. Let l = -0.105 - g. Round l to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crr when three letters picked without replacement from {i: 3, r: 3, c: 6, a: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2122200111 (base 3) to base 6\nAnswer: -1041534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3 - 400278*x**2 - 13546239876*x - 12919250774664 = 0.\nAnswer: -66222, -982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(22)\/sqrt(2)*-1).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -6*s + 10*s - 28, -5*d + 18 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -621 + 26356?\nAnswer: 25535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 - 100*k**4 - 895*k**3 - 1350*k**2 = 0. What is k?\nAnswer: -5, -2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(13))*6)**2 + 0 + sqrt(39)\/sqrt(3) + 3.\nAnswer: -11*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + q = -0*i + 46, 5*i = 5*q + 100. Let r(b) = -582*b**2 + i - 10 + 9*b + b. Let l be r(-6). Round l to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 + -146. Suppose -n = -6*r + 9*r - 1617, t = n - 3. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26853001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 + 41*n + 13. Calculate r(8).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/6579 and 19\/8177697?\nAnswer: 8177697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3384*a - 2636*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-1\/36)\/((f\/f**(-2\/3)*f*f)\/f**(-7))*((f*f**6*f*f*f*f)\/f*f*(f**(3\/8)*f*f)\/f*f)\/(f**0*f*f**(-1)) assuming f is positive.\nAnswer: f**(193\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -31*o - 2. Let w be 6\/2*(-100)\/(-30). Let a be (-4)\/2*5\/w. What is the units digit of v(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*k + 3 = 0, 5*v + 18 = -2*k + k. Let w(y) = y + 11. Let h be w(v). Find the second derivative of h*u - 13*u - 21*u**2 - 5*u - 13*u wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*n + 0*n - 14*n**3 - 4*n**2 + n**3 - n**3 wrt n.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 8*s**2 + 5*s - 5*s. Let y(b) = 21*b**2. Give y(c(p)).\nAnswer: 336*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0 + 0*z**3 + 0*z + 2*z**2 - 1\/24*z**4. Let k(p) = 8*p - 3*p - p. Give k(u(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141796 and -167.\nAnswer: -23679932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 137910042 a multiple of 2906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3*1\/(-15)*(-22913)\/2083\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m**2 - 2. Let x(w) be the first derivative of 0*w**2 + 10\/3*w**3 + 27 + 2*w. Give 7*v(d) + 6*x(d).\nAnswer: -3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/7*(-385)\/110.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*r, -9 = -3*j + 3*r - 2*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (124\/(-124))\/((-1)\/(-7)) + 6\/2. Let d(h) = -6*h**2 + 7*h + 5. Let o(f) = 7*f**2 - 8*f - 5. Let i(m) = -6*d(m) - 5*o(m). What is i(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v**3 + 7003*v - 7003*v + 2.\nAnswer: 27*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-4 + -42)) + (-13 + 15 - (12 - 12))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-8 + 9 + 1 - 12)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**3\/6 - 1300*p. Let c(z) = 142*z - 14. Determine c(d(q)).\nAnswer: 142*q - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 + (5625\/(-216))\/(-5))*(-5)\/(-6) and -151\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**2 - 1. Let b(f) = 10*f**2 - 2. Let x(t) = 3*b(t) - 4*c(t). What is the first derivative of x(v) wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = l - 0*l - 2*f, -4*f + 44 = 2*l. Let o = 26 - l. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - (-6)\/4. Let p be (-3)\/2*x\/(-3). Calculate the common denominator of 1 - 166*p\/(-8) and -21\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 1. Let u(l) = -28*l - 10. Calculate -u(a) - 10*v(a).\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5156396?\nAnswer: 2, 7, 184157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**4*r + k**3*r + 26*k**2*r**2 - 14*k*r**2 - k*r wrt k.\nAnswer: 24*k**2*r + 6*k*r + 52*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 1428 = 17197. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 8) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9391 + 3*p**2 + 9391.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, 3, 374 in descending order.\nAnswer: 374, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - 145. Let a(i) = 13*i**2. Determine a(x(f)).\nAnswer: 52*f**2 + 7540*f + 273325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 1159?\nAnswer: -6\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a + 14*a - 2699*a**2 - 44*a + 637*a**2 + 13*a.\nAnswer: -2062*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 10*f**2 + 40*f - 16. Let t be s(13). Put -2, -4\/13, t in descending order.\nAnswer: -4\/13, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*x + 2*x. Suppose x*q + 2*k = 18, 4*q - 5*k = -q + 25. Suppose 22 = 3*o + q. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 5*c + 26, 2*c - 5 = -5*z - 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 27*k - 182 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -73 + 17. Sort -1, 6, o in descending order.\nAnswer: 6, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*f + 46*f - 11*f as y*f + h and give y.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310497056 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201 - -405. Let r = a + -188. Solve -14*c = -r*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 22*y**2 - 110*y - 28. Let k be v(14). Solve 17*t + 22 - 5 = k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1860 and 1*((-2)\/(-8) - 4\/16) - -2945.\nAnswer: 35340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 19. Let g be v*(-476)\/(-16)*-4. Let b = g - 15. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6716004 months in millennia?\nAnswer: 0.0000559667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, m: 3, c: 3, t: 2, i: 6}. Give prob of sequence mmci.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 43. Let h(n) = 8*n**2 + 2*n - 1. Let x(b) = -15*b**2 - 4*b + 2. Give f*x(l) + 11*h(l).\nAnswer: -2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 10*w**2 + w**2 - 4*w**2 - w**2 + 4*w**2 + 2*w**2 + w**2 - 5*w**2 + (-2 + 3 + 1)*(3*w - 3*w + 2*w**2))*(-w**2 - 3*w**2 + 2*w**2).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 961 - 1122.4. Let m = j - -184. Let y = m - 47. What is y rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4 = p - 0, 2*w + 2 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1 - 2*o)*(-1 + 5 - 2)*(45*o - 11*o + 25*o).\nAnswer: -236*o**2 + 354*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 14*x - 3080 = -8976. Sort -1, 5, x in decreasing order.\nAnswer: 5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 20. Let x be l(21). What is the highest common divisor of 242 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a + 9 = 3*m, -3*a = 2*m - 1. Solve -m*s + s - 2*f = 0, -4*s - f = -14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 18.5 (b) -1\/8 (c) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -551 + 550. Is d at most as big as 2\/965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 9:40 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 5733.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 40*t**3 - 3*t + 26*t**3 - 40*t**3 + 29 + 41 to the form i*t**3 + j*t**2 + x*t + k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iahhjajhjhhahaa. What is prob of picking 1 a, 1 i, and 1 h?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-5) - 2\/(-5). Suppose -7*n + 70 - 658 = 0. Let k = -83 - n. Calculate the highest common divisor of k and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/54*(3\/10)\/((-12)\/60)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 13 = -3. Let h be q*3\/12*-10. Suppose -5*t + 55 = 5*o, 0 = h*o - 2*o + 2*t - 35. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -5, -17, 515\/4.\nAnswer: -17, -5, -2, 0.2, 515\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1050, 1053, 1056, 1059, 1062, 1065?\n\"Answer: 3*s + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659754 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 1:26 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -124 and -46.\nAnswer: 5704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 45024.\nAnswer: 585312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 8*c + 15*c + 10*c + 7 - 44*c + 12*c. Let v(m) = 4*m + 29. Calculate 18*j(s) - 4*v(s).\nAnswer: 2*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/185 and 46\/1965.\nAnswer: 72705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - -0.8. Let i = -75 - -75.8. Let b = i - j. Is 2 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*c + 3 + (3 - 433 + 54)*(2*c + 0*c + 0*c) + (5 - 3 + 0)*(0*c - 2*c + 0*c) + 3*c - 2*c + 0*c + (-2 + 2 + c)*(-1 + 0 - 2) - 2*c + 4 - 4.\nAnswer: -762*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796 = -192*j + 356. Solve -j*m = -5*t - m - 35, 0 = -t - m - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 804776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82900 - 51999. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-5) + 5 - 0. Let z = -1.3 + 0.3. Which is the closest to 0.1? (a) v (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(153) + sqrt(153) + -4*sqrt(153) + sqrt(153))*-4)\/((-3*sqrt(63))\/sqrt(7) - sqrt(9)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(4\/32*4) - -2. Solve b*m = -6 - 2, 3*m = 2*f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -4, 7\/5, -3, 2\/13, 38?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 113 = 59. Calculate the remainder when (-4113)\/(-7) + 12 - 3\/(-7) is divided by r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11602 divided by -18461?\nAnswer: 11602\/18461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -794 + 810. Solve -21*z + 13*z - x = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188957 - 12*a + a**3 - 188957.\nAnswer: a**3 - 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10093 divided by -367\nAnswer: -10093\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-810)\/252*(-49)\/(-42)*(-1)\/(-3)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 6, 17, -165?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122265213*b**4 - 19*b**2 + 2013*b - 454.\nAnswer: -2934365112*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/888 and -161\/2886.\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.093 + -60.093. Let v = m - -123. Let s = 63.00000046 - v. What is s rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12755286329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-4))\/(77\/(-198)*(-48)\/(-112))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.021 + -34.04. Sort a, -2, -0.3, 4.\nAnswer: -2, -0.3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -5*r, r - 13 = -0*r - 4*y. Calculate the lowest common multiple of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 5*n - 5. Let u be (4\/(-8))\/((-3)\/(-6)) - -9. Let b(r) = -8 - 6*r**2 - 8*r - 2*r**2 + u*r**2 + r**2. Give -5*b(h) + 8*q(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 11360?\nAnswer: 11360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.888 - -0.112. Let v = 8 - h. Which is the closest to v? (a) -0.3 (b) -1\/2 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107925*u**3 - 53030*u?\nAnswer: 647550*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1603 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 28, 57, 102, 169, 264?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + b - 3*b + 0*b.\nAnswer: -2*b + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 638039219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -148720, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/2)\/(3\/4). Let q be 12\/(-18) - l\/(-3). Let k = q + 1. Is -2 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3332 - -3332.15. What is the second biggest value in -86, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 444 and 445 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -274\/231 or -2?\nAnswer: -274\/231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 3*x - 5. Let q be (-63)\/(-9) - (1 - -1). Determine b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 292253?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*g - 500*g + 960 - 11760 = 0. What is the lowest common multiple of g and 1260?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4343334 - 104302?\nAnswer: -10003141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*b**2 - 23*b**3 - 246*b**2 + 86*b**3 - 915.\nAnswer: 63*b**3 - b**2 - 915","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*(m**(-2\/15)*m)\/m*m)**(5\/4) assuming m is positive.\nAnswer: m**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 24*d. Let m(u) = -6*u + 233 - 233. Determine 5*l(r) + 21*m(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 1 = 4*m, -2*m + 2*h - 20 + 24 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 471597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:02 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1273 and 195909.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*t = -84*t - v + 1, 7 = t - 5*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 3 - 66\/12*-1294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:44 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-15)*9*9*2\/(-180).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 142*g**2 - 2*g + 140. What is r(71)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**7))\/(l*l\/(l*l\/((l**(-5)*l*l*l*l)\/l)*l*l))*((l\/(l\/l**(1\/2)))\/l)\/l*l*l*l\/(l**(-2\/9)\/l) assuming l is positive.\nAnswer: l**(247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 + 353465*s**2 + 353450*s - 706920 = 0.\nAnswer: -70692, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 933 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in -1\/4, 0.5, -5\/2, 2, 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 65, -222, 1, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 13 = -2*d + 5*t, 3*d + 2 = -4*t. What is the tens digit of (16\/10)\/(d\/(-540))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/3 - -1)\/(-1). Suppose -v + 5 = q. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f - 16*g + 69 = -67*f, -2*g - 78 = 4*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43010575 a multiple of 571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5020 (base 9) to base 12\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 7 + 3\/(18\/274). Let b = 46 - k. Suppose 1\/3*w**2 - b*w**3 + 0 + 2\/3*w = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4\/9, -0.4, -0.1, -26, -0.0723?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9553*j**2 - 2870*j + 287. Let h(a) = -199*a**2 + 60*a - 6. Give 287*h(y) + 6*m(y).\nAnswer: 205*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 179*g + 10. Let t(v) = 201*v + 12. Let s(i) = -6*j(i) + 5*t(i). Let l(q) = -6*q + 0*q + 4*q. Give l(s(f)).\nAnswer: 138*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (5 - (0 - -4))) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 3138086.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 - x**3)*(0*x**2 - x**2 + 0*x**2) + x**2 - 2*x**5 - 121*x**4 - 5622*x**3 + 5622*x**3.\nAnswer: -x**5 - 121*x**4 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 1 - 8*j**2 + j**2.\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6161*t**2 - 5*t + 7*t + 1058*t**2 + 299 wrt t.\nAnswer: 14438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138101 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t + 8. Let g = -8932 + 8931. Let j(h) = h - 1. What is g*u(p) - 8*j(p)?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 4*z**2 + 5*z - 2. Let y(i) = -i**3 + 95*i**2 - 1874*i - 133. Let b be y(67). Let j(a) = -a**3 + a**2 - a + 1. What is b*r(l) + 4*j(l)?\nAnswer: -3*l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 87\/5 of a hour?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 - s + 4. Let x be ((-25)\/10)\/(1\/(-2)). Let r be q(x). Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/61 in -2\/5, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3335 + 4915. Calculate the highest common factor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2969.978 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*v - 4773*v**2 + 4773*v**2 - 2*v**3)*(3 - v + v - v**2).\nAnswer: 2*v**5 + 22*v**3 - 84*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1373268281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(42\/((-5670)\/27))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 59 + 463. Let c = 304 + v. Let x = c + 365. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-12 - (12 - 18)) + (1 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7212.5 rounded to the nearest ten?\nAnswer: 7210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -227*y - 5804. Give m(-25).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Let f(r) = -2*r**2 + 4*r - 7. Let z(k) = -8*k**2 + 17*k - 29. Let p(c) = o*z(c) - 9*f(c). Is 13 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -13*i**2 + 13*i. Let c(y) be the first derivative of -4*y**3\/3 + 2*y**2 + 1. Let h(p) = -21*c(p) + 6*m(p). Find the second derivative of h(s) wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 56, 84, 110, 134?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101 (base 2) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*6\/8*(-46)\/207\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*b = 20, -2*b = -2*k + 3*b - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -68808*0.1\nAnswer: -6880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 3\/7, 1, 939, 11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 13. Let u = 15 + l. What is the units digit of 9\/u - (-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61e7d5 (base 15) in base 8?\nAnswer: 21605434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -2, 1386 in decreasing order.\nAnswer: 1386, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) 4 (c) -60008 (d) -2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14570613361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7549 = 5*s + m, -49*s + 47*s + 3*m = -3040. List the prime factors of s.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z - 5*f + 44, 4*z + f - 28 = 0. Let d(u) = -u**3 - 17*u**2 + 14*u - 65. Let r be d(-18). Does r = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**4\/6 - 7*u**3\/6 + 2*u**2. Suppose 0*s - 26*s = 65*s - 1092. What is the remainder when i(7) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 - -12.7. Let j = v + -15. Let z = 13 - 51\/4. Which is the biggest value? (a) 2\/3 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223414102 (base 5) in base 3?\nAnswer: 1212201000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/20*10\/3. Suppose -2*z = z + 12, -2*h - 5*z = -b. Suppose -16*v = -6*v - 200. What is the least common multiple of h and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (13 - -4) + 3. Solve -777*g - z = -780*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**3 - 4*y**2 + 21*y + 91. What is the hundreds digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.14 - -7556.3167553.\nAnswer: 7552.1767553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/8 - 390*v**2 - 6237*v\/8 - 1559\/4 = 0 for v.\nAnswer: -3118, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*21\/30)\/((-7)\/(-323 + 8)). What is the highest common divisor of 28 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/70 - w**4\/21 + 55*w**3\/21 + 8*w**2 + 2*w + 2039. Factor m(v).\nAnswer: -2*(v - 7)*(v + 1)*(v + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-12) + 126\/(-60) - (-7792)\/(-80).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {u: 4, x: 3, p: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = -0*a + 50. Sort 2, -5, a, -2 in increasing order.\nAnswer: -5, -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -9*t + 273. Suppose 5*i + 19 = -q, -4*q + 3*i + t = -0*i. What are the prime factors of (212\/q)\/((-10)\/(-15))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10037117.\nAnswer: 2053, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 324\/(-24)*4\/3. Let y(n) = n + 20. Is y(b) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*d + d - 64644, 0 = 5*x + 3*d - 80805. Suppose -x = -8*f + 29687. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*y = y - 9, y + 13 = -4*t. Let s = 4383 + -4388. Which is bigger: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*l - 676*l - 554*l.\nAnswer: -997*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213179*n**3 + n**2 - n**2 - 213176*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.03, 3, 1, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -552596 - -7?\nAnswer: -552589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 5*y**7\/42 - y**4\/2 - 8*y. What is the third derivative of r(l) wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -443, -683, -945, -1235, -1559, -1923, -2333?\nAnswer: -2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 435270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 18. Let i(q) = q. Let n(d) = 4*i(d) + m(d). Let b be n(4). Solve -b*l + 4*l = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 - -235. Solve -x + 5 = 0, -3*g + 4*x = -0*x + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15\/51286?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 207888041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2574632.42 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183349401.46821001 - 183349387.8. Let t = x - 13.57821. Let z = -0.09 + t. What is z rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274181, -274187, -274193?\nAnswer: -274199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -561150 by 5.\nAnswer: -112230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 93168.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(1916\/956 - (-2)\/(-1))?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 12:02 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228)*-2*2 + sqrt(228) + sqrt(228) - sqrt(228)) + 1*sqrt(228)*-4)\/(-2*sqrt(972) - (sqrt(12) + sqrt(72)\/(sqrt(24)\/sqrt(4)))))**2.\nAnswer: 931\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*r - 10. Let g(x) = -x + 1. Give g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxxttxxxt. What is prob of sequence ttxt?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u**2 + 8. Calculate p(3).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 5*k + 5. Let d(w) = 6*w**2 - 8*w - 8. Let h = 339 + -347. Give h*t(z) - 5*d(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 11 = 13. Let z be ((-12)\/((-4)\/h))\/(-1). Suppose y = 3*o + 7 + 2, -z*o = -3*y + 39. Solve -4*j + y = -9*j 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) -24 (b) 0.5 (c) -0.3 (d) 9\/2171 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 41*c. Let j(f) = f. What is i(j(q))?\nAnswer: 41*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 34 - 3*w + 6 - 1. Let y be p(12). Suppose y*x - x = -4, -4*n + 3*x - 29994 = 0. Round n to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 23*c + 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + -5.06. Suppose 4*i + 3*s - 4*s = -4, 5*s + 20 = 0. Which is the third smallest value? (a) i (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**3 + 9*r**2 - 4*r + 42. Let u be w(4). What is the highest common factor of u and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**4 + 7*t**2 + 33235 + 51*t - t**3 - 5*t**2 - 2*t**4 - 33236 to u*t**4 + v*t**2 + m + z*t + g*t**3 and give z.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320138 and 174698262?\nAnswer: 524094786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-6)*(-16)\/((-7488)\/27).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 37.33.\nAnswer: -7.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqnnqqq. Give prob of sequence qnqq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -48*((-2)\/1)\/(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24292 divided by -2\nAnswer: -12146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 divided by -147?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -59.34. Round o to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*o + 2 - 1 = 0, 12 = -4*o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 688452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 32*f + 32 = 0. Let g be (-84)\/f*(-2)\/(-3). Solve g - 1 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/17 (b) -3\/4 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53740368 divided by -102168.\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from qqqcqccccbxvvvqqcqc?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/110)\/((-9)\/27*1\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -24, -71, -140, -231, -344?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 - 24. Let y(k) = -27*k**2. Determine c(y(g)).\nAnswer: -2187*g**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*p = 13, -d + p - 1 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/160 and -17\/16237260?\nAnswer: 129898080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.26 and 71.8545?\nAnswer: 71.5945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2. Let w(g) = -97301*g + 2. Calculate w(l(x)).\nAnswer: 194602*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11920 divided by -2.\nAnswer: 5960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -971785*y + 1210469*y + 1296542*y + 648178*y.\nAnswer: 2183404*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4210 and 842421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 56. Let s(b) be the first derivative of b**4\/4 - 5*b**3\/3 - b**2 + b + 26. Give s(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (0 - (-1 + 5 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95\/13 less than or equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - v - 149, -463 = -3*l - v - 0*v. What is the smallest common multiple of l and 5?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 128\/7441161?\nAnswer: 128\/7441161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8445 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15149282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 8*h**3 + 6*h - 13*h**3 + 4*h**3 + 3*h**3 - 5.\nAnswer: 2*h**3 + 6*h + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3766 + 3771. Solve 4*w + 17 = 2*v - p, -4 = 3*w + v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/142 + -12749\/6390. What is the common denominator of g and -139\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -240*v + 242*v - 2. Let a(y) = 2*y - 8. Let t be a(6). Calculate the greatest common factor of v and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 231 + -226. Solve c*q - 3*v = 5, 2*q + 9 = 3*q + v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 7*w**2 - 10*w - 7. Let l be p(-8). Let k(u) = 2*u - 13. Let a be k(l). Suppose 3*g + 8 = a*g. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52005433 is divided by 3972.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.09013 and 2.5.\nAnswer: 25.225325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184 and 3888?\nAnswer: 89424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00077229 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 464\/174*9\/12*(-21)\/70.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 11 - 5 + 2 + 10 - 17*q to the form j*q + m and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 782, 784, 786?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from bjfjbjjfffjbfjjj.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 18*u + 1. Let j(g) = 146*g + 8. Let p(f) = 8*i(f) - j(f). Let n(t) = 6*t + 13. What is p(n(k))?\nAnswer: -12*k - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93.68 - 77.41. Let l = 172 + r. Let q = 0.09 + l. What is the second smallest value in q, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9833 + -9472. Which is greater: i or -2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1006 - 1027. Which is smaller: d or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66123288599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 45 = -0*i + 4*w, 3*w = -i + 28. Let b(m) = 19*m - i*m + m**2 + 0*m**2. Let f(c) = c**2 - c + 1. Calculate -b(d) - f(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a kilometer in meters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - s - 3*j - 3, 0 = 5*s + 4*j + 4. Let w(b) = -3*b**2 + b**2 + s*b**2. Let k(r) be the second derivative of r**3\/2 + 13217*r. Give k(w(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 + 115\/(-50). Suppose 3*o + 4 - 10 = 0. Suppose 3*q - 15 = -0*q + 5*j, o*q + 3*j - 10 = 0. Put 3, q, m in descending order.\nAnswer: q, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -3*v. Suppose 0 = -5*k + v*m + 11, -22 = -3*k - k - 2*m. Solve -3*a**4 + 2*a**2 - 3*a**4 + 4*a**k = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 - 3*k**2 - k**2. Let l(i) be the third derivative of -i**5\/60 + i**2. Determine z(l(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 85 = 24*t. What are the prime factors of t?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417504 divided by -69584?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1709, 1088, 53, -1396, -3259, -5536, -8227?\nAnswer: -11332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18228707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 1:05 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -145 (b) -2\/7 (c) 0.5 (d) -0.4 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*w + 25*n - 27*n, -2*w + 5*n = 18. Let x(d) = d**2 + 14*d + 17. Let l be x(-14). Let i = l - 28. Is w > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 2085*r - 2080.\nAnswer: -5*(r - 416)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 221*a + 20 - 334*a - 397*a. Let b be w(4). What is b rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -573 * -344\nAnswer: 197112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 841?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -37 + (36 - (-1 - -11)) + 11?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 32. Let i be (55\/10 - (4 + 5 - 3))*10. Let m(c) = -7*c + 65. Determine i*w(y) + 2*m(y).\nAnswer: y - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-466*i**3 + 1039*i - 2079*i + 1040*i)*(3*i + 0*i - 5*i) in the form v*i**2 + z + u*i**3 + o*i**4 + c*i and give o.\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 40 = -8*n + 5*a, -2 = n + a. Suppose 5*f - 4*z - 2 = -z, -n*z = -3. Find the first derivative of f + 2 + 2*o - 4 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2\/5, -2\/7, 2, 6, 2\/17 in descending order.\nAnswer: 6, 2, 2\/17, -2\/7, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/6 - (464\/48 + -8). Let m(w) be the first derivative of 0*w - 26 + 4\/9*w**p + 8\/3*w**2. Factor m(o).\nAnswer: 4*o*(o + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**2 - 21*x + 11. What is the tens digit of j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 13\/72 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 61419, 16 in increasing order.\nAnswer: 16, 48, 61419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -45. Let g(d) = d**3 - 2*d + 5. Let o(u) = -2*u**3 + 3*u - 5. Let k(q) = 3*g(q) + 2*o(q). Determine k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -83. Suppose -5*n - 79 = -3*x, -n + 65 + f = 4*x. Suppose 16*k = 14*k + 14. Calculate the greatest common factor of k and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 + 2*-3 - 118811\/(-38575))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19789.15 * 3.\nAnswer: 59367.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w + 5. Calculate j(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3177*c**3*m**3 - 57*c**3*m**2 - 3*m**2 wrt m?\nAnswer: 19062*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726928 a multiple of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 - 6*t**2 + 6. Let d(z) be the third derivative of -z**6\/120 - z**5\/60 + z**3\/6 - 3*z**2. Calculate a(i) - 6*d(i).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 71*a + 1420. Let f be r(-20). Solve f = -7*y - 13 - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/18 and -61\/878.\nAnswer: 7902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/900*-10*7*(-85)\/2499?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**(-8\/5)*(b**(-3\/8)*b)\/(b\/(b**(-5)*b)*b))**(-33\/5) assuming b is positive.\nAnswer: b**(2871\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131.9 + 128.9. Put -0.01, 4, n, -0.1 in increasing order.\nAnswer: n, -0.1, -0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 322 + 327 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6251 + -6250. Sort -2683, -2, 3, h in decreasing order.\nAnswer: 3, h, -2, -2683","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) -2 (c) 192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 199 = -109. Let q(u) = 70*u**2 - 77*u - 77. Let n(i) = i**2 - i - 1. Let b(w) = r*n(w) + 2*q(w). Let s(x) = -5*x**2. Give b(s(h)).\nAnswer: -350*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - (-1 - (-6)\/(-3)). Let p be ((l - -1) + 2)*-1. Let n = p - -1. Sort -1, -5, n.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 351*b = -352*b + 13, -4*a + 5*b = b - 28 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11220 divided by 30.\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 + -11010?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 195 = -3*y + 254, -5*y - 5*p + 105 = 0 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 3*o - 1 + 9 = 3, -8*o + 27 = 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332610 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -202 and -188135.\nAnswer: 38003270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008363 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1 - 0 - (282 + -278)) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51 and 17688?\nAnswer: -902088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 7. Let b be i(-10). Let d(u) = 2*u - 4. Let q be d(b). Let h be (q\/(-22))\/((-2)\/4). Do h and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320 divided by 6?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75303 - 37903. What is a rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 2 - 2)*(6*y - 10*y + 2*y + 0*y + (-9*y + y + y)*(4 + 0 + 5)).\nAnswer: -65*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2052 = -64*t - 50*t. Let x(m) = 14*m**2 - 7*m + 6. Calculate the remainder when x(5) is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 22 = -p, 357*p - 48 = 354*p + 6*u. Let f = -168 + 254. Calculate the remainder when f is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 6. Let i be t(-5). Let l = i + -8\/5. Let u = -0.0693 + 0.7693. What is the biggest value in 2, u, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26595, 100, 0.03?\nAnswer: -26595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1595739 or 1595741?\nAnswer: 1595739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 57*s**5\/20 + 11*s**4\/12 + s**3\/3 + 305*s**2 - 1002*s. What is the second derivative of t(b) wrt b?\nAnswer: 342*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnlnnhnnnnlnn. What is prob of picking 2 l?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -22. Suppose -m*y - y = 12. Let q be -76 - (6 + y + -2). Round q to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 0*s**2 - 2 - 1\/3*s**3 + 0*s. Let q(b) = -b**2. Calculate i(q(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80457117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b\/b**5)*b)\/(b\/(b*b*b**(-2\/19)*b))*((b*b**(-4)*b)\/b)\/(b*b*b\/(b*((b*b**5\/b)\/b)\/b)))**(-50))**(10\/9) assuming b is positive.\nAnswer: b**(-65500\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*2 + sqrt(252) + 5)**2.\nAnswer: 180*sqrt(7) + 2293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuqu when four letters picked without replacement from {q: 2, u: 11}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 - 72) + 63 + -131?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6034350 = 29*u + 6035249 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w*w\/(w**15\/w*w*w*w))\/(w**10*w\/(w**(-7)\/w)))**(26\/9) assuming w is positive.\nAnswer: w**(-962\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29793679 to the nearest integer?\nAnswer: 5458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1630711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2484.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -2, -5\/2, -1\/6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -222953, -222989, -223025, -223061, -223097?\n\"Answer: -36*m - 222917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10*-12*-5*4\/132.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -23*r**6\/10 - r**4\/12 - 88*r**3\/3 + 188*r. What is the second derivative of t(k) wrt k?\nAnswer: -828*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*v = 833. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/4 - 6*f**4 + 51*f**3\/4 - 13*f**2\/2.\nAnswer: -f**2*(f - 1)**2*(f + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 - 3)\/((-1)\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2333159 (b) -0.57 (c) 2\/11 (d) -3\/8 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/60 + 2*y**5\/15 + y**4\/12 - 2*y**3 - 33*y**2. Factor i(k).\nAnswer: 2*(k - 1)*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 5863824?\nAnswer: 5863824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58620812 rounded to 4 decimal places?\nAnswer: -0.5862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 46. What is the units digit of (-4)\/(t\/798) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2\/7, -40\/19?\nAnswer: -40\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + 53. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10\/7 (b) -2 (c) 0.048353\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -85*n - 108 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39415349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 1*(-10)\/55 + 35\/11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.797 - -5.47. What is b rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3\/5 - 64884108*g**2\/5 - 350828955912972*g\/5 = 0 for g.\nAnswer: -10814018, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 20 + -2 - -9) + -62 - -8\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Solve 5 = -5*t - 2*v - v, -2*t - 23 = -p*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 3310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (482349\/42)\/((-3)\/(-36)*6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19343*p**6 + 4*p**4 - 9*p**2 + 6*p + 33 wrt p.\nAnswer: -2321160*p**3 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/60 - 17*w**4\/24 + 5*w**3\/2 + 30*w**2. Let x be z(-10). Suppose x*g = 82*g + 582. List the prime factors of g.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3*3\/4. Let w = 3 + 1. Let j = w - 8. Which is the nearest to 0? (a) m (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 12974.\nAnswer: 77844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/12 + 45\/2. Calculate the highest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115715053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggoixgbxifioxffig. What is prob of sequence bogo?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huefbuy. What is prob of sequence bh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7558173948 to the nearest one hundred thousand.\nAnswer: 7558200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 39 = 2*q, q = -4*u + 13 - 4. What is the remainder when 61 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = 2*r + 26, -3*m - 51 = 4*r. Let i be -10 - (3 + 6\/(-1)). Let f = i - r. Solve -4*d - f*h = 9, 4*d + 2 = 5*h - 3*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 501765 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.07 + -0.07. Let k = 5.943 + -0.943. Is k smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25843087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*n + 295, -f + 180 = 2*f + 4*n. Let y = 60 - f. Suppose 0 = 3*b - 10 + y. Solve r + o = -o + 3, -5*r + b*o = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -121.024?\nAnswer: -12.1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 68*s - 2. Let m(h) = 2*h**2 + 50*h + 3. Determine -4*c(l) - 3*m(l).\nAnswer: 2*l**2 + 122*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Suppose 9*t = y*t + 132. Solve 0 = -5*q + 4*u + t, 3*q - 5 = -6*u + u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.57707?\nAnswer: 1.15414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222827183.\nAnswer: 211, 1056053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfcecggcczfj. What is prob of picking 1 c, 1 z, and 2 g?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/231*3*8\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 47168.\nAnswer: 235840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 0*s**2 + 0*s**2 - 5*s**3 + 12*s**3 with respect to s.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*i + 8 + 340 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/6 + (-10 - 770\/(-66)). Solve 0 = 5*a - d*t - 20, 8*t - 9*t = 3*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -31. Suppose 0 = y - l*y + 5. Let o(c) = c**3 + 7*c**2 - 3*c - 8. Let u be o(-7). Solve -y*a - u = 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10195 minus -0.0086776?\nAnswer: -0.0932724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4438*g**3 + 2 + 3 + 4440*g**3 - 13314*g**3 + 8 + 4437*g**3.\nAnswer: g**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1807891*b**3 - 1 + 1807889*b**3 + 3 - 3216*b in the form p*b + w*b**3 + t + a*b**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6797, -54540, -184133, -436502, -852573, -1473272?\nAnswer: -2339525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3794 - -3794.02. Let m = 4202\/117 + -326\/9. Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20196 = -14*j - 20266 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-8) - 5970\/(-4). Suppose v = 7*l - 0*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5312 at most 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(425) + sqrt(425) + 0 + sqrt(425) + sqrt(425) - (4 + 1 + sqrt(425) + sqrt(425)))**2.\nAnswer: -180*sqrt(17) + 1781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-7) - 4\/(-14). Suppose i = o*z + 5, 3*z = -2*i + 7*i - 8. Let l = 7 + z. Solve l*w = -m + w - 2, 4*m + 4*w - 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 23. Let h be i(-9). Suppose u - 23 = h*c, -2*u = -0*u - 5*c - 21. Let o be u\/4*0\/(-3) + 0. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 54.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31074018 divided by -6.\nAnswer: 5179003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 29 + -17 + (-471)\/(-36)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*m**3 + 3*b**3 - 144*b**2 - 1243*b*m**3 + 2*b*m - b - 2*m**3 wrt b.\nAnswer: 6*b*m**3 + 18*b - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**3 - 18*n**2 + 4*n - 34. Is g(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 11*t**2 - 11*t - 5. Let a be q(-10). What is the third derivative of -4*s**2 - 2*s**2 - 6*s**3 + 6*s**3 + 14*s**a wrt s?\nAnswer: 840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 7a98206a?\nAnswer: -7a982070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -112*u**2 + 464*u - 17. What is m(4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 587194013*k**2 + 335383662 wrt k?\nAnswer: 1174388026*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -30*x + 57. What is z(-7)?\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/137, -2\/37, -0.4?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -10. Suppose -k - 2*k = -u. Let b be k + 18 - 0\/(-1). Solve 5*h = -d - 20, b = -h - 4*h + 3*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 2cd7?\nAnswer: 2cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 55207.127 to the nearest 1000.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 - 970276*k - 117679439522 = 0. What is k?\nAnswer: -242569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3022 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-13)\/2) + 20\/(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 x when three letters picked without replacement from {f: 3, z: 4, x: 2, n: 2, c: 6}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n + 4. Let l(f) = 2*f**3 + 16*f**2 + f + 18. What is the remainder when 12\/n*1 - -52 is divided by l(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**3)**(25\/4)*g*g\/(g\/(g\/(((g\/(g\/(g*g*g**15\/g)))\/g)\/g)))*g*g*g**25 assuming g is positive.\nAnswer: g**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2488 and -131\/4480?\nAnswer: 1393280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -16 - -9) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1246)\/(-57850)*80\/56?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4177460.\nAnswer: 2, 5, 7, 53, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43794\/23 - -1904. What is the third biggest value in 2\/5, -0.1, -1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4)*(-2*o + 7*o - 4*o - 5)*(-45*o + 77 - 77) + o**2 + 0 + 0 to z + v*o**2 + i*o and give i.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3139 and 365?\nAnswer: 15695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 20106*f + 20097*f - f**2 - 40196*f + 31. Give a(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (5 - (3 + 5)) + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2910 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1859*w**3 + 9563*w.\nAnswer: -11154*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - 47. Suppose -v - v = -h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 708825400*b**2*o**3 - 6*b*o**3 + 462689*b*o - 3*b - 2*o wrt b?\nAnswer: 1417650800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.4. Suppose -3*q - 5*x = -3, 2*q - q + x = 1. Let r be (25\/(-20))\/(q\/(-4)). Which is the nearest to 1? (a) d (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7624 times -727\nAnswer: -5542648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * -8459\nAnswer: 1099.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 756341 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + -2. Let o = c - -32. What is the remainder when 29 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4373 = 3*f, -3*l - l + 8749 = -5*f. Is 53 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**10\/604800 + k**9\/120960 + k**5\/60 - 3*k**2. Let u(q) be the third derivative of p(q). What is n in u(n) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 7*a**2\/2 - 3*a - 4. Let u be v(-3). Let o = u - -43. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205, -402, -573, -706, -789, -810, -757, -618?\n\"Answer: 2*y**3 + y**2 - 214*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 1. Let m = 4 + 2. Let c(q) = 3*q + 5*q**2 + m*q + 11*q + 25. Let s(t) = c(t) + 20*f(t). What is the first derivative of s(r) wrt r?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 7*z - 6. Let n = 45 - 44. Let t be a(n). Solve 8 - 20 = t*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Solve -l - k + 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*a + 2*a + 0*a)*(8*a**2 - 12*a**2 + 1 - a - 2*a) as r*a**2 + f + w*a + x*a**3 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 34014.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 88 = -t, 3*t = -3*g + 7*g - 77. Suppose 4*k - g = 23. Let y(a) = 9*a**2 + 2*a. What is the remainder when y(3) is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) -5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 18*x + 105 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 4*n**2 + 5*n)*(-n**3 - 2*n**3 + 5*n**3) + (-4 + 0 + 2)*(-3*n**5 + 3*n**5 - n**5).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*2)\/sqrt(5))\/sqrt(8) + (-2 + sqrt(5) + (sqrt(5) - sqrt(125)))**2 + 1.\nAnswer: 14*sqrt(5) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*x - 4*z, -2*x + 8*z = 13*z - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -29) + (-26)\/13. Calculate the highest common divisor of n and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/19)*i)\/i**8)\/(i**(-2\/7))**9 assuming i is positive.\nAnswer: i**(-596\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 9*j**4\/2 + j**2 - 21. What is the second derivative of d(b) wrt b?\nAnswer: 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 3754. Let n(q) = -250*q**2. Calculate b(n(j)).\nAnswer: 500*j**2 + 3754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2588683947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fccd when four letters picked without replacement from {k: 5, f: 1, t: 2, q: 1, c: 3, d: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0 - 1\/90*y**5 + 1\/18*y**3 + 0*y**4 + 0*y**6 + 3*y**2 + 0*y + 1\/630*y**7. Suppose f(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 262*y**2 - 3*y - 261*y**2 + 7 + 14*y + 5. Determine a(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 4*b. Let s(f) be the third derivative of f**4\/8 + 2*f**2. Let t be s(-1). Let q = 0 - t. Calculate a(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m - 3*m)*(-69*m + 195*m - 58*m - m**2 + 3)*(3 + 0 - 2)*(3 - 4 + 0).\nAnswer: -m**3 + 68*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 22 = -85*y + 1177 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**3 - 12*g**2 + 2*g + 20. Let n be j(-6). Solve 2*v = -n*v - 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.3, -17, -0.3, 15\/89, -3\/2, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 + 0)*(0 + 3 - 4) + 1 - 3 + 1 + 1 - 2 + 6)*(-l + 2 - 2 + (0*l + 3*l - 2*l)*(1 + 1 + 0)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*4*sqrt(153) - (sqrt(153) + sqrt(153) + 1*sqrt(153)*-1 + sqrt(153)))\/((sqrt(1296) - 2*sqrt(1296))*2 + 4*(sqrt(1296) - -1*sqrt(1296))))**2.\nAnswer: 2057\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 divided by -6?\nAnswer: -161\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(0 + 1) - 0. Solve 3 = 3*j - 6, -o - 2*j + x = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 10:10 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -467 + 467. Solve b = 9*v - 31 - 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2271\/41 + 122789\/2296. Calculate the common denominator of -8 + (-52)\/32*6 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**2 - 180 - 63*p + 11 - 356 + 118*p.\nAnswer: 5*(p - 5)*(2*p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**4 + 3*v**4 + v**2 - 6*v**2 + (v**2 - v**2 - v**3)*(2 - 2*v - 2) + 4*v**4 - 4*v**4 + 2*v**4 + 3*v**4 - v**4 - 3*v**4)*(1 + 8 - 6).\nAnswer: 6*v**4 - 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 3666288 = -64*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = s - 12, 5*n - 17 = -5*s + 7*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(1*2\/(-46))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59412*h - 159326?\nAnswer: -59412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254789670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1578 - 1522) + (-60 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34\/3 + 12. Let m(t) be the first derivative of i*t**3 - 1\/2*t**4 + 2 + 0*t**2 + 0*t. Factor m(v).\nAnswer: -2*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/20 (b) -99 (c) -0.35 (d) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 + 3. Let u(c) = 50*c**2 - 20. What is -20*q(g) - 3*u(g)?\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6.21 (b) -203 (c) 0.35 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4 and ((-15)\/(-35))\/((-20)\/7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 289537 and 579075\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91768 and 2.\nAnswer: 91768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29939 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0365 + 15.8965. What is y rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4))\/((-60)\/(-24))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:57 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d + 40 = 0. Suppose -4*p + 4*h = -d, 18 = 4*p - 3*h - 0*h. Suppose p*o - b - 6 = 14, -5*o - 3*b + 10 = 0. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8742 - -10.\nAnswer: -8732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 159 - 150 = 0. Solve -i*d - 5 - 7 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 - 11\/5. Suppose -18*k = -13*k - 90. Let u be (12\/(-9))\/(g\/k). What is the greatest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 50. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 12*s - 16. What are the prime factors of (-3)\/s + (-11060)\/(-80)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/321655 and -105\/368.\nAnswer: 5146480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -382*x**5 - 5077*x**4 + x**2 - 125447*x + 8.\nAnswer: -7640*x**3 - 60924*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1772363 (base 12) to base 5.\nAnswer: 2222030143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4559*w + 338926 = 19796 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 3*u**2 + u + 4. Let n be l(-3). Let j be 8\/(-52) + (-56)\/n. Let k(y) = 4*y**3 + 2*y - 2. What is the remainder when k(j) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 6 + 0 + 16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 + 3*k - 4. Let p be q(4). Find the second derivative of p + 1 - 102*b**5 - 46*b**5 + 2*b - 2 - 4*b wrt b.\nAnswer: -2960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1349, 2, 289 in decreasing order.\nAnswer: 289, 4, 2, -1349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -268*x**2 - 2. Let a be d(-2). Let u = -403 - a. List the prime factors of u.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.68 - -36.68. Let m = 30 - k. Which is smaller: -2\/225 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2)\/(-4 - -2). What is the units digit of ((-2)\/(-3) + l)*-6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4610*g - 36875. Determine q(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1224 = -4*k - 1244 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 6, -2*k - 5*i - 7 = -0*i. What is the remainder when 9\/(5 + -9 - (-33)\/6) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 19. Find the common denominator of 10\/j*275\/12 and -73\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65451675.\nAnswer: 3, 5, 19, 23, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1341 and 54.\nAnswer: 8046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134154.9999908411 - 134155. What is q rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/18 - 20*t**3\/9 - 100*t**2\/3 - 7*t + 8. Factor q(i).\nAnswer: -2*(i + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89753260 divided by -17950652.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28574062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.75430068 rounded to three dps?\nAnswer: -1.754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.05396 and -0.097 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 47292*-1\nAnswer: -47292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-6) + (-2)\/4. Let h(p) = -p**2 + 8*p - 6. Let j be h(6). What is the units digit of (21\/j)\/(l\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -1\/3, 0.255, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2219, 2224, 2229, 2234, 2239?\nAnswer: 2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4.9. Sort 3, u, -1.\nAnswer: -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58103169 to the power of 1\/2, to the nearest integer?\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12086352?\nAnswer: 2, 3, 83933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1212230 - 101?\nAnswer: -1212331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + j**2 + j - 7. Determine i(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2444403 - 0?\nAnswer: 2444403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5) + 2)**2 + sqrt(15)\/sqrt(192) + -3.\nAnswer: 97*sqrt(5)\/8 + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.155 - 0.055. Sort 2, 2\/5, c, 0.\nAnswer: 0, c, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-88)\/(-10) - (96\/(-30) - -4). Suppose -5*y + 2*r = -32, -4*r + 40 = y + 2*y. Let c = y - p. What is the third biggest value in 3, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**3 - o**2 - 5*o**2 + 4*o**2.\nAnswer: -21*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*s - 775*s + 263*s + 254*s - 367.\nAnswer: -s - 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**4 + 159*h**3 + 862*h**2 + 228*h - 1800 = 0.\nAnswer: -25, -6, -2, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -7\/75, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -8561.\nAnswer: -8560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -3\/4, 5\/14, 5\/3, 172?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**2 - 20*m**2 + 7*m**2 + 8*m**2. Let d(t) = 70*t**2 + 4. Calculate v(d(l)).\nAnswer: 9800*l**4 + 1120*l**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -59. Let l(c) = 10*c**2 + 597*c - 174. Let u be l(-60). Is 18 a factor of -30*((-32)\/k)\/((-4)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13129.25 + -21.5?\nAnswer: 13107.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -3.4. Let a = m + 2.8. Sort -5, -1\/2, a in descending order.\nAnswer: a, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10273260 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299914049 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y**2 + 2*y. Let d be p(-6). Suppose 3*t + 3*t - d = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 112001222012?\nAnswer: 112001222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 46 - 17 = 4*m, 10*m - 165 = -3*i - 22*m + 7*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*o**2 + 2*o**2 + 15*o**2 + (-69*o + 69*o + 14*o**2)*(2 - 6 + 3) to s + m*o + p*o**2 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 975 - 393. Let k = 1208 - v. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206957853 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -d + 7. Suppose -d = 5*r + 137. What is the common denominator of -59\/7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-14))\/((-2560)\/(-16000)))\/(50\/(-120)).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32 (b) 32.9 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000031402 to 6 decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 934 and 19029316?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (24 - (-4 + 2)). Let v = z - 19. Suppose 0*s - 20 = -5*r + s, 0 = 4*r - 5*s - 37. Calculate the remainder when v is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + o + 3 + (5 - 1 - 1)*(5*o - 2*o - o) + (4 - 5 + 2)*(-o + 0*o - o) + (9*o - 3*o - 4*o)*(0 - 2 + 1) + 17*o - 2*o - 2*o as z*o + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c54161 + 4?\nAnswer: 1c54165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 9 - -11 - (0 - (-3 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, v: 3, h: 3, n: 1, w: 1}. Give prob of sequence ovw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (5 + -7 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 403 - 403.93. What is r rounded to 2 dps?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 9*m + 16*m - 16*m - 29. Let q(z) = -5*z + 16. Let v(t) = 11*q(t) + 6*s(t). Determine v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3028*x**3 - 6076*x**3 + 3050*x**3 - 14*x + 816*x.\nAnswer: 2*x**3 + 802*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/9 - 4*k**3\/9 - 8*k**2\/9 + 16*k\/9.\nAnswer: 2*k*(k - 2)**2*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 35*u - 143. Let c be s(30). Suppose -3*h = -0*h - 3. Sort 4, h, c, -1 in descending order.\nAnswer: c, 4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -123 + 71 + 26 + 26 - 2*v. Let b(c) = -5450*c - 1. Determine t(b(p)).\nAnswer: 10900*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -682, -2611, -5784, -10201, -15862, -22767, -30916?\n\"Answer: -622*d**2 - 63*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:57 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**6\/120 + 7*a**5\/60 + 7*a**4\/24 + 4*a**3\/3 - 2*a**2. Let z be t(8). Solve 3*k = -2*y + 10, -5*k + 8 + 12 = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.787067ml?\nAnswer: 0.006787067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - a**2 - 2 + 12*a**3 + 13*a**3 + 9*a - 7*a + 0 in the form h*a**3 + g*a + l + w*a**2 and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1, -16, 600, -5 in descending order.\nAnswer: 600, 5, 3, 1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2520941 to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 336795393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**7\/70 + 11*c**5\/120 - 3*c**3 - 11. Let r(l) be the third derivative of i(l). What is the second derivative of r(m) wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(17\/4)*q\/(q**23\/q) assuming q is positive.\nAnswer: q**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63 or -2253\/35?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9\/(-168))\/(2\/(-24)) and -47\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249 - 140. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 5. Let u(x) = -3*x**2 + 4. Let w(o) = 6*u(o) + 5*v(o). Let h(l) = 15*l**2 + 2. Determine -3*h(g) - 5*w(g).\nAnswer: -5*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u\/(u*(u\/((u\/((u*u*u**(-6)*u)\/u))\/u))\/u))\/u)**(19\/3) assuming u is positive.\nAnswer: u**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 59 + 48 + z**3)*(z - 6*z + z + (z + z - 3*z)*(-2 + 1 - 1)).\nAnswer: -2*z**4 - 100*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -59. Which is the nearest to -2\/3? (a) -2 (b) 2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1523, 3062, 4621, 6200?\n\"Answer: 10*h**2 + 1509*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318640378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -302*i + 600. What is the hundreds digit of k(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 + 2056\/17. Let j = 92 - 91. Is j at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -130*u - 24. Let t(l) = -26*l - 5. Let v(w) = 2*s(w) - 11*t(w). Find the first derivative of v(k) wrt k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 8*n**2 - 124*n - 803. Let i be q(-6). Solve i*f - 44 = 47 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 i when three letters picked without replacement from {i: 2, j: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*s - s**2 - s**2 + 5*s**2 + 2 + 92*s in the form g + o*s + m*s**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1243*f - 1237*f + 2483*f + 29.\nAnswer: 3*f + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*g**3*i + 225*a*g**2*i**2 + 29*a*g*i + 2*g**3*i**2 - 3*g**3 wrt i?\nAnswer: 450*a*g**2 + 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1088)\/(-48) + -14)*(-6)\/2*-31 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 6:12 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c + 0*c - 8*c. Let y(u) = -3*u + 2. Let v(w) = 11*w - 9. Let s(b) = 2*v(b) + 9*y(b). Calculate s(z(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j**3 - 2*j**2 + 3*j + 2. Let s be z(-2). Suppose 5*k - 8*b = -3*b - 35, -2*k + 4*b = 22. Let t = k + s. Round t to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 7. Let f be b(-7). What is the remainder when 7 is divided by 2 - -2 - (f\/2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let u = -0.2 - 0. Which is the nearest to 1? (a) u (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -530 - -5?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((-96)\/(-18)))\/1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 4095 = 5*o. Suppose -2*c + o = 2*f - 768, 0 = -c - 4*f + 790. Let s = c - 409. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 34. Let x = p + -13. Let j be 2 - (140\/34 + -2). Which is the second smallest value? (a) 1\/2 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 5*g**2 - 5*g + 7. Let f(l) = -2*l**2 - 24*l**3 + 30*l**3 - 5*l**3 + 2*l - 3. What is 10*f(q) + 4*z(q)?\nAnswer: 2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + 6 - 16 - 7 to the form r*i**2 + m*i + v and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 36, 3\/4, 20?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -394 - -598. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 5*o + 4. Let t = -439 - -426. Is 5 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*p - 0*p. Let z(n) = n**3 - n**2 - 3*n + 1. Let b be z(2). Suppose 0 = 3*r - 4*r - 3. Put p, b, r in descending order.\nAnswer: p, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. Suppose 0 = 5*h - m*r - 11 - 1, 12 = -3*h - 4*r. Suppose 4*o + 2*v - 80 = h, 100 = 2*o + 3*o - v. Solve o = -5*x + x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 5:23 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-111)\/3 - -3. What is the common denominator of z\/(-30) + 22\/(-15) and -71\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -0.2. Let l = -1.4 - o. Let w = -0.26 + -0.24. Which is the nearest to l? (a) -1 (b) w (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/11 or -83\/4?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -88?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 835897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (11692\/(-1738) + (-2)\/(-33))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-25))\/((-44)\/10*(-12)\/48)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*r**3 + 34361 - 17651 - 16710.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:46 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43128, -86258, -129388, -172518?\n\"Answer: -43130*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183\/3556 - 2\/127. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*v - 0*m + m, -2*m = v + 14. Let i(z) = 2*z - 10. Let q(a) = a - 4. Let r(u) = v*q(u) + 5*i(u). Determine r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5901 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -90, -3, -75745 in increasing order.\nAnswer: -75745, -90, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/6)\/(97\/(-291))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -72. Suppose -p*b - 59 + 71 = 0. Calculate the remainder when 41 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 17911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/2 + 1357*l**2\/2 + 234528*l + 2935296 = 0.\nAnswer: -672, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**5\/15 + 5*l**4\/12 - 5*l**2 - 11. Let r(g) be the second derivative of u(g). What is the second derivative of r(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-5))\/(27\/(-54))*((-2530)\/(-5612))\/(-11)?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 84*f**3 - 1308*f**2 + 6384*f.\nAnswer: 3*f*(f - 38)*(f - 4)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 1. Let m be f(-3). Let d be (2728\/(-110) + 26)\/((-2)\/(-5)). Solve -4*k + 0 + 24 = -m*s, d*s = 4*k - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -4, 6, 30, 74, 144, 246?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t. Let o = -98 + 97. Let a be h(o). Suppose p - 12 = a*q, 0 = p - 4*p + 3*q + 30. Calculate the lowest common multiple of p and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11566*t**3*x**3*z**2 + 3*t**3*x**2 - 4*t**3*x*z**2 - 2*t*x**2*z + 4*t*x*z**2 - 11*x*z**2 wrt x?\nAnswer: -69396*t**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-21 + 8 - -8 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1846\/11 + -168. Suppose -45 = 59*v - 54*v. Let i(s) = -s**2 - 9*s. Let c be i(v). Is c bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.054\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/((-34)\/17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12.58? (a) 4 (b) -2 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, -3, 12 in increasing order.\nAnswer: -15, -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -204. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6256453 by -19.\nAnswer: 329287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 513, 739, 1039, 1353, 1621, 1783?\n\"Answer: -10*v**3 + 97*v**2 + 5*v + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3\/14 (c) 3\/7 (d) -0.2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/18 - -7\/36. Let m = -6 + 3. Let j = -8 - m. Sort j, o, 0.\nAnswer: j, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*z = -110*z + 25. Solve 4*o - z*o + 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Let y(x) = -2*x + 1. Let w(p) = 5*u(p) + 2*y(p). What is w(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272565286 - 4\nAnswer: 272565282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -31*m - 5. What is the units digit of i(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926171872?\nAnswer: 2, 19, 31, 49139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3c8 (base 15) to base 4\nAnswer: -31133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73, -78, -81, -82, -81, -78, -73?\n\"Answer: s**2 - 8*s - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101010 (base 2) to base 15.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((sqrt(1584) + 1 + -5 + sqrt(1584) + sqrt(1584) + 1 + -1)*4)**2.\nAnswer: -228354 + 4608*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 36, -0.2, 0.1, 1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 9:18 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.891 + 4.499. What is w rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - 2)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5447\/4 - 1360. What is the third smallest value in 0.5, -2, a, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 + 21*b**2 - 62*b - 487. Calculate q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 14. Let g be q(-10). Let c be g\/(2 + 421 + -1). Is c at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 485*c - 92*c - 1577109. What is the least common multiple of 4 and c?\nAnswer: 16052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l - 354 = -3*f, -4*f = -16. Suppose 9 = -5*z + l. Suppose -72 = -27*u + 26*u. What is the smallest common multiple of u and z?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 9:14 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let x(z) = 7*z + 6. Let y(h) = 6*s(h) + x(h). Calculate y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.374 rounded to 1 decimal place?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12 + 204*m - 99*m - 97*m + m**2. Let d be z(-10). Let l(p) = -4*p + 36. Let k be l(d). Let w(s) = -s**3 + 4*s**2 - 2*s + 6. What is w(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187*k**3*r - 483*k**3 - 2*k**2 - 2*k*r + 17*r + 2 with respect to r.\nAnswer: -187*k**3 - 2*k + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 56*a**2 + 180*a - 1275. What is d(7)?\nAnswer: 2729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Let b(s) = -11*s**2 - 3*s. Let d(f) = -12*f**2 - 2*f. Let k(a) = 2*b(a) - 3*d(a). Determine c(k(n)).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(5)*-5)\/sqrt(5).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 4*i**2 + 7*i - 14. Calculate z(-8).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + x = -0*u + 20, -40*u + 40*u - 3*x - 21 + 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -25*t - 107. Let g be p(-4). Let m(l) = -2*l - 11. Let n be m(g). Solve -3*r - x = -11, -x + 4 = 2*r + n*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/84)\/((176\/14)\/22)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 minutes after 10:28 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: (-2 - 20) + 47 + (-79 - -36)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 2*m**2 - 2*m - 1. Let a(o) = 4*o**3 - 8*o**2 - 50*o - 51. Let r(b) = -13*b - 66. Let u be r(-5). Let k(s) = u*a(s) - 5*x(s). Factor k(z).\nAnswer: (z + 2)**2*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2091*g - 4127*g + 2041*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0973 + -39.0973. Put l, -1, 0.2, -2\/3 in descending order.\nAnswer: 0.2, -2\/3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-915)\/114 - -8)*2. Sort 0, m, 5, -4 in decreasing order.\nAnswer: 5, 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-14) + 24\/15. Are 1 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2246, 2597, 2920, 3215?\n\"Answer: -14*l**2 + 393*l + 1867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.4 (c) 3\/10 (d) 1\/2 (e) -3.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230205, 459689, 689173, 918657, 1148141?\nAnswer: 1377625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18295.79 minus -351764476?\nAnswer: 351746180.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39606294 - -80598791693\/2035. Let p = 18\/407 - z. Find the common denominator of -53\/3 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, f: 9, m: 2, v: 3}. Give prob of sequence mc.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4752989 seconds in days?\nAnswer: 0.00001707521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - v + 48. Calculate the common denominator of (-250)\/(-36) - v\/54 and -73\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (276\/(-345))\/(2\/(-20)). Suppose n = -9*c + 5*c, -c = -r + 2. Solve r - 25 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -5, -0.4, 1\/17 in decreasing order.\nAnswer: 3\/5, 1\/17, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/315 and -71\/2879695?\nAnswer: 25917255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33877?\nAnswer: 19, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:38 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 34, -5, 1, 3, 453, 28 in increasing order.\nAnswer: -5, 1, 3, 4, 28, 34, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*k + 71*k - 231*k - 297*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1318541196?\nAnswer: 2, 3, 7, 47, 47711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 at least 257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 - 2*r**2 + 3*r + 1. Let g be o(-2). Solve 0 = 3*j + y + 3, -y - 4*y - 15 = -g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8030 and 27\/7007270.\nAnswer: 77079970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 1, 11\/4, 0.04, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 13*l + 12. Give t(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -344, -477, -586, -671, -732?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2. Let s(l) be the second derivative of -l**6\/30 + 3*l**5\/10 - l**4 - l**3 + 9*l**2\/2 + 7*l. Let n(v) = -s(v) - 4*x(v). Let n(u) = 0. What is u?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*p**2 + 0*p**2 - 2*p - 2*p**3 + 1 to the form h*p**3 + s + t*p**2 + w*p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5, 2*p = -0*p - 2*c + 6. Suppose p + 0 = -4*i. Let o = i + 5. Solve o*z + 4*a - 20 = 0, -2*z + 0*a + 13 = 3*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 572, 1, -8, -2, -4, -15 in ascending order.\nAnswer: -15, -8, -4, -2, 1, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 86*t = 432 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/18 - (-4)\/9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13620690?\nAnswer: 2, 3, 5, 61, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2183)\/(-74) + (-6)\/(-4). Suppose 5*c + 3*h - 34 = 0, 2*h = -6*c + c + t. Factor -6\/7*d**3 + 2\/7*d**c + 0 - 4\/7*d**2 + 0*d**4 + 0*d.\nAnswer: 2*d**2*(d - 2)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2691*b - 2687*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 18 - 4*g**2 - 17)*(9*g + 9*g - 7*g).\nAnswer: -22*g**3 + 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 4 + 6*y + 1 - 5*y wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g + 4*g + 2*g - g - 2. Let k be a(-2). Suppose -2*r = -v - k, 5 = -3*v - 1. Put -2, 4, r in increasing order.\nAnswer: -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -3*d. Let a(u) = 5*u - 3. Calculate the remainder when a(4) is divided by (1\/d)\/((-1)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224202 and 1904?\nAnswer: 213440304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*g + 2*c, 5*g + 0*c + 3*c = 39. What is the lowest common multiple of g and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from vaxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 1075.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -282 + 838. Let a = -548 + w. Let s = -16 - -30. Calculate the smallest common multiple of a and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3940*d - 4*m - 8 = -3938*d, -6*d = 4*m - 20 + 4 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -o - 112, -2*o + 4 = -4*s + 90. Let x = -19 + s. What is the tens digit of 2\/(484\/(-122) + x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 29*t + 3. Let o(x) = -1019*x + 538423 - 537930 + 5775*x. Determine 6*o(w) - 986*y(w).\nAnswer: -58*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-20 - -13) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/859? (a) -165 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, -5, 5, 0, -4, 10842 in ascending order.\nAnswer: -26, -5, -4, -2, 0, 5, 10842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1178 divided by -3?\nAnswer: 1178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(-4*u + 14*u - 9*u + 0*u + 2*u - 4*u + (1 + 2*u - 1)*(-2 + 1 - 2)) to the form l + f*u and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1001, -1003, -1005, -1007?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:06 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 11 = 3*n + 5*f, -3*f = 3*n - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/9 and -22\/17975.\nAnswer: 161775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 63 = 18*y. What is the third biggest value in -5, y, 1.44?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2892 = 1504. Suppose -4*x = 4*w - d, -4*x - 5*w + 149 = -3*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.1 and -47?\nAnswer: 333.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 64092 times -5006\nAnswer: -320844552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 - (-160 - -42) - (1 - (1 - 64))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 221102 to the power of 1\/2, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29883395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o - 64549*o**2 - 3*o**4 - 2*o**5 + 64549*o**2 + (2*o**4 + 0*o**2 + 0*o**2)*(-2*o + 3*o + 0*o) + o**5 - 5*o**5 + 3*o**5 + 3*o**5 + 4*o**5 + 2*o**5.\nAnswer: 8*o**5 - 3*o**4 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 0*i**2 - 3*i**2)*(0 - 2 + 0)*(6*i - 6*i + 5*i).\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 5*p**4\/4 - 5*p**3 - 5*p**2\/2 + 15*p + 24. Factor d(a).\nAnswer: 5*(a - 3)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179 divided by 110544\nAnswer: 179\/110544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 5*b + 6. Let c be j(-4). Let w(q) = 0 - q**c + 4 + 8*q - 5 - 9*q. Let z(n) = n**3 + 2*n**2 + 2*n + 2. What is -2*w(o) - z(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 3:38 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -25503221?\nAnswer: -25503233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 154640475, 154640474, 154640473, 154640472, 154640471?\n\"Answer: -i + 154640476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5669*r**3 - 14 + 5586*r**3 - 11 + 34 - 9.\nAnswer: -83*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16437519965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.8, 0.15, -1.\nAnswer: -3.8, -1, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 118, 201, 306, 439?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 50 = 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429158.4 minus -14917099?\nAnswer: 15346257.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2595316 is divided by 455.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 + 785*s**2 - s**5 + 18*s**6 - 727*s**2 wrt s?\nAnswer: 2160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 36 = 5*b. Let f be 16\/(-120) + b\/(-15) - 0. Solve o = -3 - f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2 + sqrt(68)\/sqrt(4)) + sqrt(17)*-2 + 3 + -2)*4)**2.\nAnswer: -1728*sqrt(17) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34822*g**4 + g**3 - 5*g**2 + g + 751 wrt g.\nAnswer: 835728*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1250)*5)\/((sqrt(110) + -1*sqrt(110) + sqrt(110))\/sqrt(11)))**2 + sqrt(5) + 2*sqrt(5) + 5 + (sqrt(5) - (sqrt(5) + (sqrt(80) + 4)**2)).\nAnswer: -29*sqrt(5) + 3034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60994 - -60994. Let v(w) = w + 0 - 5 + w**3 - 20. Give v(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -12 + 14 + -19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -77446.50011 rounded to the nearest 1000?\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -2 in decreasing order.\nAnswer: 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.64, -0.3, 11\/15, 4, -2 in descending order.\nAnswer: 4, 11\/15, -0.3, -2, -2.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2308542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17348 is divided by 170.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14692 is divided by 344.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/4*-15. Suppose 3*c = i + 4. Suppose -l = -c*w - 7, l + 3*l - 2*w - 18 = 0. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000030998 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000088958614 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 1390 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4653 divided by 3.\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45889 and 1353?\nAnswer: 62087817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91a18 - 5?\nAnswer: 91a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {i: 4, v: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 8*q + 1 - 4*q - 7*q. Let d be l(0). Let r be (d\/(-2))\/((-14)\/168). What is r rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {n: 1, t: 1, g: 1, x: 1, z: 9, e: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/(3\/(-18)). Suppose 3*p = 5*g + 75, -3 = -p + g + 20. Let u = 28 - p. Solve 0 = -2*f + w + h, -2*w + u - 23 = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 + 24*y + 8. Let a be m(12). Let s(p) = -3*p - 13. Let r be s(-5). Is 116\/a*236\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 25*q**2 + 8 + (-2 + 0 + 4)*(-q**2 + 0*q**2 - q**2) + 1 - 2*q**2 - 1.\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 895064683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/1 + (14 - 2). Let f = g + -17. Let m(z) = 9*z - 5. Let h(w) = w - 1. Let s(p) = -4*h(p) + m(p). Calculate s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 30*u**2 + 65*u**2 - 6*u**2 + u - 14 + 2*u to f*u + z*u**2 + l and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303140929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 5454*d**3 - 3299652*d**2 + 660997506*d + 2012836887.\nAnswer: -3*(d - 607)**3*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306977 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3047 and -47\/3047?\nAnswer: 3047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + 0*b**3 + 2*b**3 + (2*b**2 + b**2 - b**2 + (0 + b + 0)*(1 + b - 1) + 1 - 1 + 2*b**2 + 2*b**2 - 2*b**2 + b**2)*(7*b + 0 + 0).\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225.896 + 226. Let d = s + -5.104. Which is the nearest to 1? (a) 1 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 4. Let g(i) = -8*i**2 + 449*i - 30. What is the remainder when g(56) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.782 - 5.782. What is the fourth biggest value in -5, -9, 0, g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 + 38*n - 118. Is p(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332087 by 38.\nAnswer: -332087\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 122*n - 1634*n**2 + 1633*n**2 - 119*n.\nAnswer: -n**2 + 3*n + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 10*o**2 - 2*o + 19. Let v be h(10). Let t = 3.04 - 0.98. Let j = 0.06 - t. What is the nearest to 2\/5 in v, 2, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 92, 132, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.6831 + -29.7. Let k = r + -0.8201. Let w = -0.79 - k. What is w rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.058 - 2.058. Which is the smallest value? (a) 10 (b) 0.05 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 3*j. Let t = -4408 - -4416. Solve 0*b + j*b = 5*v - t, 0 = 2*b + 5*v - 26 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4349176 is divided by 71297?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 1\/6*z**3 - 1\/120*z**6 + 1\/3*z**4 - 2*z**2 + 0*z + 0 - 3\/20*z**5. List the prime factors of s(-10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*n**4 - 8*n - 111 - 7*n**3 + 7*n - 4*n**3 + 109 in the form f*n + h + l*n**4 + w*n**2 + u*n**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -7*s**3\/3 - 3*s**2\/2 + 10*s + 4. Let y(v) = 7*v**2 + 3*v - 11. Let g(a) = 2*p(a) + 3*y(a). Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**1)**(1\/7))**8)**(-10) assuming n is positive.\nAnswer: n**(-160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m = 0. Suppose -2*b - 2*b + 132 = m. Is (b*-1)\/(-2 + 1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 1)*(-w**2 - 4 + 4 + 0*w**2 - w**2 - w**2 + (0*w + 4*w - 3*w)*(0 + 2*w + 0) + 2 - 2 + 2*w**2).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 2. Let i = a - -18. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*l - 156*l - 11288 = 0 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 85 + 47. Let w = r + -23. Solve -w = -8*q + 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7*w - 2*w + 55 = 0, 2*r - 3*w - 145 = 0. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 336428.\nAnswer: 336428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14705651 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -564*q**2. Let t(a) = -2*a. Determine x(t(r)).\nAnswer: -2256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**3\/6 + p. Let h(g) be the third derivative of 7*g**5\/60 + 5*g**2. Give h(d(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12736, 25475, 38212, 50947, 63680, 76411, 89140?\n\"Answer: -z**2 + 12742*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(18) - ((2*sqrt(288) - sqrt(288)) + sqrt(18)) - sqrt(18)))\/((2*sqrt(36))\/sqrt(4)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 25*n - 2. Give c(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49303422 and 1179.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 7:14 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615904.\nAnswer: 2, 19, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*m - 52 = -64*m - 65*m. Let o be (9\/(-6))\/3*0. Solve o = m*d - q - 7 + 2, 0 = d - q - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254 + -250. Let h(m) be the second derivative of -m + 0 - 2\/15*m**6 - 4\/3*m**3 + 0*m**t + 2\/5*m**5 + 2*m**2. Factor h(n).\nAnswer: -4*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3585 is divided by 79?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-3))\/(76\/95)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2316 divided by -119723.\nAnswer: 2316\/119723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m + 1. Let z be k(4). Suppose -8*a = -13*a + 20. Let c(i) = a*i**2 - 5*i**2 + i + 5*i + 5. Determine c(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(-458)\/(-229)*(-33)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505555 (base 9) to base 13.\nAnswer: a6337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251225140.\nAnswer: 2, 5, 12561257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*z = 564, -2*k + 3*k - 5*z = -200. Let r = k + 189. What is the highest common factor of r and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 0 + 113*j**2 + 8*j + 1 - 112*j**2. Let m be (1*-1 + -3)*2. Let l be x(m). Calculate the greatest common divisor of l and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-4)*1*(-12)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:35 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/55, -1, -0.01, 0.5?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 6:26 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -8051\/371?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/11 + ((-59024)\/(-77))\/8. Factor -h*m**2 + 3 + 9 - 32*m + 116*m**2.\nAnswer: 4*(m - 1)*(5*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30239750 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2*v**6\/5 + 7*v**2\/2 + 8*v. Differentiate j(x) wrt x.\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 55 = 3*t + 227, 156 = o + 5*t. Suppose -o - 254 = -42*g. Solve -g = -5*x - 5*f, 0*x + 4*f - 4 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/2 - 39*o**2\/2 - 620*o - 600 = 0.\nAnswer: -20, -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 6*a + 2. Let d(m) = 3*m**2 + 11*m - 3. Calculate 4*d(b) + 7*n(b).\nAnswer: -2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}